32581 + Interview Questions in Mathematics Page 216 InterviewSolution

10751.	Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°
Answer» Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°

Discussion

10752.	Question 13How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?(a) 10 (b) 100 (c) 1000 (d) 10000
Answer» Question 13 How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge? (a) 10 (b) 100 (c) 1000 (d) 10000

10752.

Question 13How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?(a) 10 (b) 100 (c) 1000 (d) 10000

Answer»

Question 13

How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?

(a) 10 (b) 100 (c) 1000 (d) 10000

Discussion

10753.	If A and B are square matrices of order 3 and that \|A\| = –2, \|B\| = 4, then \|2AB\| = __________.
Answer» If A and B are square matrices of order 3 and that \|A\| = –2, \|B\| = 4, then \|2AB\| = __________.

Discussion

10754.	Using trigonometric tables, find the value of sin64∘42′ + cos42∘20′tan36∘40′ + cot63∘20′
Answer» Using trigonometric tables, find the value of $\frac{s i n 64^{\circ} 42^{'} + c o s 42^{\circ} 20^{'}}{t a n 36^{\circ} 40^{'} + c o t 63^{\circ} 20^{'}}$

Discussion

10755.	The co-ordinates of the vertices of Triangle ABC are A (4, 1), B(–3, 2) and C(0, k). Given that the area of Triangle ABC is 12 unit2. Find the value(s) of k.
Answer» The co-ordinates of the vertices of Triangle ABC are A (4, 1), B(–3, 2) and C(0, k). Given that the area of Triangle ABC is 12 ${u n i t}^{2}$ . Find the value(s) of k.

Discussion

10756.	Solve: (2x+5)(x+4)=1.
Answer» $Solve: \frac{(2 x + 5)}{(x + 4)} = 1.$

Discussion

10757.	Question 2 (vi)Are the following statements ‘True’ or False’? Justify your answer.vi) If all three zeroes of a cubic polynomial x3+ax2–bx+c are positive, then atleast one of a, b and c is non - negative.
Answer» Question 2 (vi) Are the following statements ‘True’ or False’? Justify your answer. vi) If all three zeroes of a cubic polynomial $x^{3} + a x^{2} - b x + c$ are positive, then atleast one of a, b and c is non - negative.

Discussion

10758.	In the given figure. If ∠ACE = 430 & ∠CAF = 620 then find the value of b.
Answer» In the given figure. If ∠ACE = 43⁰ & ∠CAF = 62⁰then find the value of b.

10758.

In the given figure. If ∠ACE = 430 & ∠CAF = 620 then find the value of b.

Answer»

In the given figure. If ∠ACE = 43⁰ & ∠CAF = 62⁰then find the value of b.

Discussion

10759.	Solve each of the following quadratic equations:9x2-9a+bx+2a2+5ab+2b2=0 [CBSE 2009]
Answer» Solve each of the following quadratic equations: $9 x^{2} - 9 (a + b) x + (2 a^{2} + 5 a b + 2 b^{2}) = 0$ [CBSE 2009]

Discussion

10760.

Match the following columns: Column I Column II (a) In a given ∆ABC, DE ∥ BC and ADDB=35. If AC = 5.6 cm, then AE = ...... cm. (p) 6 (b) If ∆ABC ∼ ∆DEF such that 2AB = 3DE and BC = 6 cm, then EF = ...... cm. (q) 4 (c) If ∆ABC ∼ ∆PQR such that ar(∆ABC) : ar(∆PQR) = 9 : 16 and BC = 4.5 cm, then QR = ...... cm. (r) 3 (d) In the given figure, AB ∥ CD and OA = (2x + 4) cm, OB = (9x − 21) cm, OC = (2x − 1) cm and OD = 3 cm. Then x = ? (s) 2.1

Answer» Match the following columns:

Column I	Column II
(a) In a given ∆ABC, DE ∥ BC and $\frac{A D}{D B} = \frac{3}{5} .$ If AC = 5.6 cm, then AE = ...... cm.	(p) 6
(b) If ∆ABC ∼ ∆DEF such that 2AB = 3DE and BC = 6 cm, then EF = ...... cm.	(q) 4
(c) If ∆ABC ∼ ∆PQR such that ar(∆ABC) : ar(∆PQR) = 9 : 16 and BC = 4.5 cm, then QR = ...... cm.	(r) 3
(d) In the given figure, AB ∥ CD and OA = (2x + 4) cm, OB = (9x − 21) cm, OC = (2x − 1) cm and OD = 3 cm. Then x = ?	(s) 2.1

Discussion

10761.	Two A.P.’ s are given 9, 7, 5, . . . and 24, 21, 18, . . . . If nth term of both the progressions are equal then find the value of n and n th term.
Answer» Two A.P.’ s are given 9, 7, 5, . . . and 24, 21, 18, . . . . If n^th term of both the progressions are equal then find the value of n and n th term.

Discussion

10762.	24. Let P=(-1,0),Q=(0,0),and R=(root3,3)be three points the equation of bisector of angle PQR is
Answer» 24. Let P=(-1,0),Q=(0,0),and R=(root3,3)be three points the equation of bisector of angle PQR is

Discussion

10763.	You have a six-faced dice having numbers from 1 to 6 on its faces. What will be the probability of getting 5 on throwing it?
Answer» You have a six-faced dice having numbers from $1$ to $6$ on its faces. What will be the probability of getting $5$ on throwing it?

Discussion

10764.	This shape is formed by using 6 three-dimensional regular objects. Each of these individual objects is a ___ .
Answer» This shape is formed by using 6 three-dimensional regular objects. Each of these individual objects is a ___ .

Discussion

10765.	The 17th term of an AP exceeds its 10th term by 7. Its common difference is ___
Answer» The $17^{t h}$ term of an AP exceeds its $10^{t h}$ term by 7. Its common difference is ___

Discussion

10766.	If the radii of the circular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket. (Use π = 22/7).
Answer» If the radii of the circular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket. (Use π = 22/7).

Discussion

10767.	If a, b, c are in continued proportion , then prove that (i) aa + 2b= a - 2ba - 4c (ii) bb + c = a - b a - c
Answer» If a, b, c are in continued proportion , then prove that (i) $\frac{a}{a + 2 b} = \frac{a - 2 b}{a - 4 c}$ (ii) $\frac{b}{b + c} = \frac{a - b}{a - c}$

Discussion

10768.	The sum of first n odd natural numbers is(a) 2n − 1(b) 2n + 1(c) n2(d) n2 − 1
Answer» The sum of first n odd natural numbers is (a) 2n − 1 (b) 2n + 1 (c) n² (d) n² − 1

Discussion

10769.	In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region [Use π = 3.14.]
Answer» In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region [Use $π$ = 3.14.]

10769.

In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region [Use π = 3.14.]

Answer»

In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region [Use $π$ = 3.14.]

Discussion

10770.	Mark the correct answer in each of the following:The negation of the statement "The product of 3 and 4 is 9", is(a) It is false that the product of 3 and 4 is 9.(b) The product of 3 and 4 is 12(c) The product of 3 and 4 is not 12(d) It is false that the product of 3 and 4 is not 9.
Answer» Mark the correct answer in each of the following: The negation of the statement "The product of 3 and 4 is 9", is (a) It is false that the product of 3 and 4 is 9. (b) The product of 3 and 4 is 12 (c) The product of 3 and 4 is not 12 (d) It is false that the product of 3 and 4 is not 9.

Discussion

10771.	If x,y,z∈R+ then xyx+y+yzy+z+xzx+z is always
Answer» If $x, y, z \in R^{+}$ then $\frac{x y}{x + y} + \frac{y z}{y + z} + \frac{x z}{x + z}$ is always

Discussion

10772.

Find the mean of each of the following frequency distributions : Class interval: 25−35 35−45 45−55 55−65 65−75 Frequency: 6 10 8 12 4

Answer» Find the mean of each of the following frequency distributions :

Class interval:	25−35	35−45	45−55	55−65	65−75
Frequency:	6	10	8	12	4

Discussion

10773.	If f(x)=⎧⎪⎨⎪⎩x3,x<03x−2,0≤x≤2x2+1,x>2 Then find the value(s) of x for which f(x)=2.
Answer» If $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} x^{3}, & x < 0 3 x - 2, & 0 \leq x \leq 2 x^{2} + 1, & x > 2 \end{matrix}$ Then find the value(s) of x for which f(x)=2.

Discussion

10774.	Which of the following alternatives is true?(i) The class midpoint is equal to:(a) The average of the upper class limit and the lower class limit.(b) The product of upper class limit and the lower class limit.(c) The ratio of the upper class limit and the lower class limit.(d) None of the above.(ii) The frequency distribution of two variables is known as(a) Univariate Distribution(b) Bivariate Distribution(c) Multivariate Distribution(d) None of the above (iii) Statistical calculations in classified data are based on(a) the actual values of observations(b) the upper class limits(c) the lower class limits(d) the class midpoints (iv) Range is the(a) difference between the largest and the smallest observations(b) difference between the smallest and the largest observations(c) average of the largest and the smallest observations(d) ratio of the largest to the smallest observation
Answer» Which of the following alternatives is true? (i) The class midpoint is equal to: (a) The average of the upper class limit and the lower class limit. (b) The product of upper class limit and the lower class limit. (c) The ratio of the upper class limit and the lower class limit. (d) None of the above. (ii) The frequency distribution of two variables is known as (a) Univariate Distribution (b) Bivariate Distribution (c) Multivariate Distribution (d) None of the above (iii) Statistical calculations in classified data are based on (a) the actual values of observations (b) the upper class limits (c) the lower class limits (d) the class midpoints (iv) Range is the (a) difference between the largest and the smallest observations (b) difference between the smallest and the largest observations (c) average of the largest and the smallest observations (d) ratio of the largest to the smallest observation

10774.

Which of the following alternatives is true?(i) The class midpoint is equal to:(a) The average of the upper class limit and the lower class limit.(b) The product of upper class limit and the lower class limit.(c) The ratio of the upper class limit and the lower class limit.(d) None of the above.(ii) The frequency distribution of two variables is known as(a) Univariate Distribution(b) Bivariate Distribution(c) Multivariate Distribution(d) None of the above (iii) Statistical calculations in classified data are based on(a) the actual values of observations(b) the upper class limits(c) the lower class limits(d) the class midpoints (iv) Range is the(a) difference between the largest and the smallest observations(b) difference between the smallest and the largest observations(c) average of the largest and the smallest observations(d) ratio of the largest to the smallest observation

Answer» Which of the following alternatives is true?

(i) The class midpoint is equal to:

(a) The average of the upper class limit and the lower class limit.

(b) The product of upper class limit and the lower class limit.

(c) The ratio of the upper class limit and the lower class limit.

(d) None of the above.

(ii) The frequency distribution of two variables is known as

(a) Univariate Distribution

(b) Bivariate Distribution

(c) Multivariate Distribution

(d) None of the above

(iii) Statistical calculations in classified data are based on

(a) the actual values of observations

(b) the upper class limits

(c) the lower class limits

(d) the class midpoints

(iv) Range is the

(a) difference between the largest and the smallest observations

(b) difference between the smallest and the largest observations

(c) average of the largest and the smallest observations

(d) ratio of the largest to the smallest observation

Discussion

10775.	Question 11If the sum of the first n terms of an AP is 4n−n2, what is the first term (that is S1)? What is the sum of first two terms? What is the second term? Similarly find the 3rd, the 10th and the nth terms.
Answer» Question 11 If the sum of the first n terms of an AP is $4 n - n^{2}$ , what is the first term $(t h a t i s S_{1})$ ? What is the sum of first two terms? What is the second term? Similarly find the $3^{r d}$ , the $10^{t h}$ and the $n^{t h}$ terms.

Discussion

10776.	In Fig. 12.58, what are the angles of depression from the observing position O1 and O2 of the object at A?
Answer» In Fig. 12.58, what are the angles of depression from the observing position O₁ and O₂ of the object at A?

Discussion

10777.	Find the points on the y-axis, each of which is at a distance of 13 units from the point (-5, 7).
Answer» Find the points on the y-axis, each of which is at a distance of 13 units from the point (-5, 7).

Discussion

10778.	Prove that circles with equal radius are congruent.
Answer» Prove that circles with equal radius are congruent.

Discussion

10779.	What must be added to f(x)=4x3+8x2−7x+3 so that resulting polynomial is divisible by g(x)=x2−x+2?
Answer» What must be added to $f (x) = 4 x^{3} + 8 x^{2} - 7 x + 3 so that resulting polynomial is divisible b y g (x) = x^{2} - x + 2 ?$

Discussion

10780.	If −4 is a zero of the quadratic polynomial x2 − x − (2k + 2) then find the value of k.
Answer» If −4 is a zero of the quadratic polynomial x² − x − (2k + 2) then find the value of k.

Discussion

10781.	Two dice are thrown at the same time.The probability of getting different numbers on the dice is .
Answer» Two dice are thrown at the same time.The probability of getting different numbers on the dice is .

Discussion

10782.	The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and the original fraction is 2920. Find the original fraction.
Answer» The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and the original fraction is $\frac{29}{20}$ . Find the original fraction.

Discussion

10783.	Find the next number in the following sequence: 40.00, 160.00, 640.00, 2560.00...
Answer» Find the next number in the following sequence: 40.00, 160.00, 640.00, 2560.00...

Discussion

10784.	If sin α and cos α are the roots of the equation ax2+bx+c=0, then
Answer» If sin α and cos α are the roots of the equation $a x^{2} + b x + c = 0,$ then

Discussion

10785.	Construct a triangle ABC in which BC is 5 cm, Angle B is 60∘ and AB+AC=10cm. What type of triangle is this?
Answer» Construct a triangle ABC in which BC is 5 cm, Angle B is $60^{\circ}$ and AB+AC=10cm. What type of triangle is this?

Discussion

10786.	Prove that the points (2a, 4a), (2a, 6a) and (2a+3a, 5a) are the vertices of an equilateral triangle.
Answer» Prove that the points (2a, 4a), (2a, 6a) and (2a+ $\sqrt{3} a$ , 5a) are the vertices of an equilateral triangle.

Discussion

10787.	The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.
Answer» The area of a right angled triangle is 165 m². Determine its base and altitude if the latter exceeds the former by 7 m.

Discussion

10788.	If α & β are the zeroes of a quadratic polynomial p(x), and k is any constant, then what is the general form of the polynomial?
Answer» If $α & β$ are the zeroes of a quadratic polynomial p(x), and k is any constant, then what is the general form of the polynomial?

Discussion

10789.	Question 6 (i)A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.(i) What is the area of the glass?
Answer» Question 6 (i) A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. (i) What is the area of the glass?

Discussion

10790.	Solve the inequation: 3z−5≤z+3<5z−9; z∈R.
Answer» Solve the inequation: $3 z - 5 \leq z + 3 < 5 z - 9; z \in R$ .

10790.

Solve the inequation: 3z−5≤z+3<5z−9; z∈R.

Answer»

Solve the inequation:

$3 z - 5 \leq z + 3 < 5 z - 9; z \in R$ .

Discussion

10791.	Solve for x:12a+b+2x=12a+1b+12x
Answer» Solve for $x : \frac{1}{2 a + b + 2 x} = \frac{1}{2 a} + \frac{1}{b} + \frac{1}{2 x}$

Discussion

10792.	65. A cone and hemisphere have equal bases and equal volumes .Find the ratio of their heights .
Answer» 65. A cone and hemisphere have equal bases and equal volumes .Find the ratio of their heights .

Discussion

10793.	If 2 is one of the zeros of x3−3x2−4x−12, then find the remaining two zeroes.
Answer» $If 2 is one of the zeros of x^{3} - 3 x^{2} - 4 x - 12, then find the remaining two zeroes.$

Discussion

10794.	A wooden box has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2.5 m apart, what will be the length of wood required for the rungs?
Answer» A wooden box has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2.5 m apart, what will be the length of wood required for the rungs?

10794.

A wooden box has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2.5 m apart, what will be the length of wood required for the rungs?

Answer»

A wooden box has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2.5 m apart, what will be the length of wood required for the rungs?

Discussion

10795.	The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 tables is 7000 rupees, then find the price of 2 chairs and 2 tables.
Answer» The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 tables is 7000 rupees, then find the price of 2 chairs and 2 tables.

Discussion

10796.	The probability of an impossible event is(a) 0(b) 1(c) 1/2(d) non-existent
Answer» The probability of an impossible event is (a) 0 (b) 1 (c) 1/2 (d) non-existent

Discussion

10797.	a projectile is thrown at an angle 37 from vertical. The angle of elevation of the highest point of the projectile from point of projection i
Answer» a projectile is thrown at an angle 37 from vertical. The angle of elevation of the highest point of the projectile from point of projection i

Discussion

10798.	If −2 is a zero of the polynomial 3x2 + 4x + 2k then find the value of k.
Answer» If −2 is a zero of the polynomial 3x² + 4x + 2k then find the value of k.

Discussion

10799.	Two parallel chords are drawn on either side of the centre of a circle of diameter 30 cm. If the length of one chord is 24 cm and the distance between the two chords is 21 cm, then find the length of another chord.
Answer» Two parallel chords are drawn on either side of the centre of a circle of diameter 30 cm. If the length of one chord is 24 cm and the distance between the two chords is 21 cm, then find the length of another chord.

Discussion

10800.	Find the roots of the following quadratic equation, by the method of completing the square: 2x2+x−4=0
Answer» Find the roots of the following quadratic equation, by the method of completing the square: $2 x^{2} + x - 4 = 0$

Discussion

Explore topic-wise InterviewSolutions in .

Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°

Question 13How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?(a) 10 (b) 100 (c) 1000 (d) 10000

If A and B are square matrices of order 3 and that |A| = –2, |B| = 4, then |2AB| = __________.

Using trigonometric tables, find the value of sin64∘42′ + cos42∘20′tan36∘40′ + cot63∘20′

The co-ordinates of the vertices of Triangle ABC are A (4, 1), B(–3, 2) and C(0, k). Given that the area of Triangle ABC is 12 unit2. Find the value(s) of k.

Solve: (2x+5)(x+4)=1.

Question 2 (vi)Are the following statements ‘True’ or False’? Justify your answer.vi) If all three zeroes of a cubic polynomial x3+ax2–bx+c are positive, then atleast one of a, b and c is non - negative.

In the given figure. If ∠ACE = 430 &amp; ∠CAF = 620 then find the value of b.

Solve each of the following quadratic equations:9x2-9a+bx+2a2+5ab+2b2=0 [CBSE 2009]

Two A.P.’ s are given 9, 7, 5, . . . and 24, 21, 18, . . . . If nth term of both the progressions are equal then find the value of n and n th term.

24. Let P=(-1,0),Q=(0,0),and R=(root3,3)be three points the equation of bisector of angle PQR is

You have a six-faced dice having numbers from 1 to 6 on its faces. What will be the probability of getting 5 on throwing it?

This shape is formed by using 6 three-dimensional regular objects. Each of these individual objects is a ___ .

The 17th term of an AP exceeds its 10th term by 7. Its common difference is ___

If the radii of the circular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket. (Use π = 22/7).

If a, b, c are in continued proportion , then prove that (i) aa + 2b= a - 2ba - 4c (ii) bb + c = a - b a - c

The sum of first n odd natural numbers is(a) 2n − 1(b) 2n + 1(c) n2(d) n2 − 1

In the given figure, ABCD is a square of side 4 cm. A quadrant of a circle of radius 1 cm is drawn at each vertex of the square and a circle of diameter 2 cm is also drawn. Find the area of the shaded region [Use π = 3.14.]

Mark the correct answer in each of the following:The negation of the statement "The product of 3 and 4 is 9", is(a) It is false that the product of 3 and 4 is 9.(b) The product of 3 and 4 is 12(c) The product of 3 and 4 is not 12(d) It is false that the product of 3 and 4 is not 9.

If x,y,z∈R+ then xyx+y+yzy+z+xzx+z is always

Find the mean of each of the following frequency distributions : Class interval: 25−35 35−45 45−55 55−65 65−75 Frequency: 6 10 8 12 4

If f(x)=⎧⎪⎨⎪⎩x3,x&lt;03x−2,0≤x≤2x2+1,x&gt;2 Then find the value(s) of x for which f(x)=2.

Question 11If the sum of the first n terms of an AP is 4n−n2, what is the first term (that is S1)? What is the sum of first two terms? What is the second term? Similarly find the 3rd, the 10th and the nth terms.

In Fig. 12.58, what are the angles of depression from the observing position O1 and O2 of the object at A?

Find the points on the y-axis, each of which is at a distance of 13 units from the point (-5, 7).

Prove that circles with equal radius are congruent.

What must be added to f(x)=4x3+8x2−7x+3 so that resulting polynomial is divisible by g(x)=x2−x+2?

If −4 is a zero of the quadratic polynomial x2 − x − (2k + 2) then find the value of k.

Two dice are thrown at the same time.The probability of getting different numbers on the dice is .

The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and the original fraction is 2920. Find the original fraction.

Find the next number in the following sequence: 40.00, 160.00, 640.00, 2560.00...

If sin α and cos α are the roots of the equation ax2+bx+c=0, then

Construct a triangle ABC in which BC is 5 cm, Angle B is 60∘ and AB+AC=10cm. What type of triangle is this?

Prove that the points (2a, 4a), (2a, 6a) and (2a+3a, 5a) are the vertices of an equilateral triangle.

The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.

If α &amp; β are the zeroes of a quadratic polynomial p(x), and k is any constant, then what is the general form of the polynomial?

Question 6 (i)A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.(i) What is the area of the glass?

Solve the inequation: 3z−5≤z+3&lt;5z−9; z∈R.

Solve for x:12a+b+2x=12a+1b+12x ​​​​​​ ​​​​​​

65. A cone and hemisphere have equal bases and equal volumes .Find the ratio of their heights .

If 2 is one of the zeros of x3−3x2−4x−12, then find the remaining two zeroes.

A wooden box has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. If the top and bottom rungs are 2.5 m apart, what will be the length of wood required for the rungs?

The price of 3 chairs and 2 tables is 4500 rupees and price of 5 chairs and 3 tables is 7000 rupees, then find the price of 2 chairs and 2 tables.

The probability of an impossible event is(a) 0(b) 1(c) 1/2(d) non-existent

a projectile is thrown at an angle 37 from vertical. The angle of elevation of the highest point of the projectile from point of projection i

If −2 is a zero of the polynomial 3x2 + 4x + 2k then find the value of k.

Two parallel chords are drawn on either side of the centre of a circle of diameter 30 cm. If the length of one chord is 24 cm and the distance between the two chords is 21 cm, then find the length of another chord.

Find the roots of the following quadratic equation, by the method of completing the square: 2x2+x−4=0

In the given figure. If ∠ACE = 430 & ∠CAF = 620 then find the value of b.

If f(x)=⎧⎪⎨⎪⎩x3,x<03x−2,0≤x≤2x2+1,x>2 Then find the value(s) of x for which f(x)=2.

If α & β are the zeroes of a quadratic polynomial p(x), and k is any constant, then what is the general form of the polynomial?

Solve the inequation: 3z−5≤z+3<5z−9; z∈R.

Solve for x:12a+b+2x=12a+1b+12x