32581 + Interview Questions in Mathematics Page 48 InterviewSolution

2351.	Find the area and perimeter of a square plot of land whose diagonal is 24 m long. Take 2=1.41
Answer» Find the area and perimeter of a square plot of land whose diagonal is 24 m long. $[Take \sqrt{2} = 1.41]$

Discussion

2352.	The area of the largest square that can be inscribed in a circle of radius r units is
Answer» The area of the largest square that can be inscribed in a circle of radius $r$ units is

Discussion

2353.	If the point P(x,y) is equidistant from the points A(5,1) and B(1,5), then prove that x-y=0
Answer» If the point P(x,y) is equidistant from the points A(5,1) and B(1,5), then prove that x-y=0

Discussion

2354.	Question 9Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see the given figure). Prove that ∠ACP=∠QCD
Answer» Question 9 Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see the given figure). Prove that $∠ A C P = ∠ Q C D$

Discussion

2355.	A car has two wipers which do not overlap. Each wiper has a blade of length 25cm sweeping through an angle of 115 degree. Find the total area cleaned at each sweep if the blades.
Answer» A car has two wipers which do not overlap. Each wiper has a blade of length 25cm sweeping through an angle of 115 degree. Find the total area cleaned at each sweep if the blades.

Discussion

2356.	If the points A(1, 0), B(3, 2) and C(x, y) form an equilateral triangle, then coordinates of C can be
Answer» If the points A(1, 0), B(3, 2) and C(x, y) form an equilateral triangle, then coordinates of C can be

Discussion

2357.	Given figure shows a triangle ABC circumscribing a circle. If ∠BOC=110∘, then ∠BAC=
Answer» Given figure shows a triangle ABC circumscribing a circle. If $∠ B O C = 110^{\circ}$ , then $∠ B A C =$

Discussion

2358.	Répondez au négatif.1. Vous êtes actrices?2. Il parle anglais?3. C'est une rue étroite?4. Marie remplit la fiche?5. Daniel et Stella font le devoir?6. Tu vas au bureau?
Answer» Répondez au négatif. 1. Vous êtes actrices? 2. Il parle anglais? 3. C'est une rue étroite? 4. Marie remplit la fiche? 5. Daniel et Stella font le devoir? 6. Tu vas au bureau?

Discussion

2359.	If x+y+z=0then x3+y3+z3 =___?
Answer» If $x + y + z = 0$ then $x^{3} + y^{3} + z^{3}$ =___?

Discussion

2360.	The line ax+by=a2 b2, will meet the y- axis at ____.
Answer» The line $a x + b y = a^{2} b^{2}$ , will meet the y- axis at ____.

Discussion

2361.	Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:(i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes if we only add 1 to the denominator. What is the fraction?(ii) Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?(iii) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.(iv) Meena went to bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.(v) A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Answer» Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method: (i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes if we only add 1 to the denominator. What is the fraction? (ii) Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu? (iii) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number. (iv) Meena went to bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received. (v) A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

2361.

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:(i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes if we only add 1 to the denominator. What is the fraction?(ii) Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?(iii) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.(iv) Meena went to bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.(v) A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Answer»

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:

(i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes if we only add 1 to the denominator. What is the fraction?

(ii) Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?

(iii) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.

(iv) Meena went to bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.

(v) A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Discussion

2362.	Find the sum of two middle terms of the A.P. : -43, -1, -23, -13,......., 413.
Answer» Find the sum of two middle terms of the A.P. : $- \frac{4}{3}, - 1, \frac{- 2}{3}, \frac{- 1}{3}, . . . . . . ., 4 \frac{1}{3}$ .

Discussion

2363.	A rational number is its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form pq ? Give reasons.
Answer» A rational number is its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form $\frac{p}{q}$ ? Give reasons.

Discussion

2364.	Ajay, Binay and Chetan were partners sharing profits in the ratio of 3 : 3 : 2. The Partnership Deed provided for the following:(i) Salary of ₹ 2,000 per quarter to Ajay and Binay.(ii) Chetan was entitled to a commission of ₹ 8,000(iii) Binay was guaranteed a rofit of ₹ 50,000 p.a.The profit of the firm for the year ended 31st March, 2015 was ₹ 1,50,000 which was distributed among Ajay, Binay and Chetan in the ratio of 2 : 2 : 1, without taking into consideration the provisions of Partnership Deed. Pass necessary rectifying entry for the above adjustments in the books of the firm. Show your workings clearly.
Answer» Ajay, Binay and Chetan were partners sharing profits in the ratio of 3 : 3 : 2. The Partnership Deed provided for the following: (i) Salary of ₹ 2,000 per quarter to Ajay and Binay. (ii) Chetan was entitled to a commission of ₹ 8,000 (iii) Binay was guaranteed a rofit of ₹ 50,000 p.a. The profit of the firm for the year ended 31st March, 2015 was ₹ 1,50,000 which was distributed among Ajay, Binay and Chetan in the ratio of 2 : 2 : 1, without taking into consideration the provisions of Partnership Deed. Pass necessary rectifying entry for the above adjustments in the books of the firm. Show your workings clearly.

Discussion

2365.	If the system of equations 2x - y - z = 12, x - 2y + z = -4, x + y + λz = 4 has no solution, then λ = ________________.
Answer» If the system of equations 2x - y - z = 12, x - 2y + z = -4, x + y + λz = 4 has no solution, then λ = ________________.

Discussion

2366.	Divide a line segment of length 14 cm internally in the ratio 2 : 5. Also, justify your construction.
Answer» Divide a line segment of length 14 cm internally in the ratio 2 : 5. Also, justify your construction.

Discussion

2367.	33. the radius of a 2 cylinder of the same height are in the ratio 4:5, Then find the ratio of their volumes.
Answer» 33. the radius of a 2 cylinder of the same height are in the ratio 4:5, Then find the ratio of their volumes.

Discussion

2368.	Find the zeros of each of the following quadratic polynomial and verify the relationship between the zeros and their coefficients:(i) f(x) = x2 − 2x − 8(ii) g(s) = 4s2 − 4s + 1(iii) h(t) = t2 − 15(iv) 6x2 − 3 − 7x(v) px=x2+22x-6 (vi) qx=3x2+10x+73(vii)fx=x2-3+1 x+3 (viii) g(x) = a(x2 + 1) − x(a2 + 1) (ix) hs=2s2-1+22s+2(x) fv=v2+43v-15(xi) py=y2+352y-5(xii) qy=7y2-113y-23
Answer» Find the zeros of each of the following quadratic polynomial and verify the relationship between the zeros and their coefficients: (i) f(x) = x² − 2x − 8 (ii) g(s) = 4s² − 4s + 1 (iii) h(t) = t² − 15 (iv) 6x² − 3 − 7x (v) $p (x) = x^{2} + 2 \sqrt{2} x - 6$ (vi) $q (x) = \sqrt{3} x^{2} + 10 x + 7 \sqrt{3}$ (vii) $f (x) = x^{2} - (\sqrt{3} + 1) x + \sqrt{3}$ (viii) g(x) = a(x² + 1) − x(a² + 1) (ix) $h (s) = 2 s^{2} - (1 + 2 \sqrt{2}) s + \sqrt{2}$ (x) $f (v) = v^{2} + 4 \sqrt{3} v - 15$ (xi) $p (y) = y^{2} + \frac{3 \sqrt{5}}{2} y - 5$ (xii) $q (y) = 7 y^{2} - \frac{11}{3} y - \frac{2}{3}$

Discussion

2369.	The co-ordinates of the point which divides (internally) the line joining the points (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 are
Answer» The co-ordinates of the point which divides (internally) the line joining the points (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 are

Discussion

2370.	A die is thrown once. The probability of getting an even number on the die is
Answer» A die is thrown once. The probability of getting an even number on the die is

Discussion

2371.	The mean proportional of the lines 6 cm & 4 cm is _________.
Answer» The mean proportional of the lines 6 cm & 4 cm is _________.

Discussion

2372.	Question 21If a+b+c=0, then a3+b3+c3 is equal toA) 0B) 2abC) 3abcD) 2abc
Answer» Question 21 If $a + b + c = 0$ , then $a^{3} + b^{3} + c^{3}$ is equal to A) 0 B) 2ab C) 3abc D) 2abc

Discussion

2373.	In order to paint a solid frustum, which area would be taken into consideration?
Answer» In order to paint a solid frustum, which area would be taken into consideration?

Discussion

2374.	7. In the adjoining figure find Area of Triangle ABC and perimeter of Triangle ABC
Answer» 7. In the adjoining figure find Area of Triangle ABC and perimeter of Triangle ABC

Discussion

2375.	In the given figure A, B and C are three points on a circle with centre O such that ∠BOC=30∘ and ∠AOB=60∘. If D is a point on the circle other than the arc ABC, find ∠ADC.
Answer» In the given figure A, B and C are three points on a circle with centre O such that $∠ B O C = 30^{\circ}$ and $∠ A O B = 60^{\circ}$ . If D is a point on the circle other than the arc ABC, find $∠ A D C$ .

Discussion

2376.	Construct a transverse common tangent to two circles of radii 2.5 cm and 3 cm with their centres 10 cm apart.
Answer» Construct a transverse common tangent to two circles of radii 2.5 cm and 3 cm with their centres 10 cm apart.

Discussion

2377.

Find the value of p, if the mean of the following distribution is 20. x: 15 17 19 20+p 23 f: 2 3 4 5p 6

Answer» Find the value of p, if the mean of the following distribution is 20.

x:	15	17	19	20+p	23
f:	2	3	4	5p	6

Discussion

2378.	In ΔPQR, right angled at Q, PQ=4 cm and RQ=3 cm. Find the values of sin P, sin R, sec P and sec R.
Answer» In $Δ$ PQR, right angled at Q, PQ=4 cm and RQ=3 cm. Find the values of sin P, sin R, sec P and sec R.

Discussion

2379.	If A=⎡⎢⎣28−40−1−23−15⎤⎥⎦ Find A+A'
Answer» If $A = ⎡ ⎢ ⎣ \begin{matrix} 2 & 8 & - 4 0 & - 1 & - 2 3 & - 1 & 5 \end{matrix} ⎤ ⎥ ⎦$ Find A+A'

Discussion

2380.	If sin B = 1, find the value of B if 0≤B≤90.
Answer» If sin B = 1, find the value of B if $0 \leq B \leq 90$ .

Discussion

2381.	Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Answer» Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is $800 m^{2}$ ? If so, find its length and breadth.

Discussion

2382.	Find 2 rational nos.between -3 and -2
Answer» Find 2 rational nos.between -3 and -2

Discussion

2383.	If A=[22−32] and B=[0−110], then (B−1A−1)−1 equals to
Answer» If $A = [\begin{matrix} 2 & 2 - 3 & 2 \end{matrix}]$ and $B = [\begin{matrix} 0 & - 1 1 & 0 \end{matrix}],$ then $(B^{- 1} A^{- 1})^{- 1}$ equals to

Discussion

2384.	ABCD is a rectangle formed by the points A (− 1, − 1), B (− 1, 4), C (5, 4) and D (5, − 1). P, Q, R and S are the mid-points of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS is a square? a rectangle? or a rhombus? Justify your answer.
Answer» ABCD is a rectangle formed by the points A (− 1, − 1), B (− 1, 4), C (5, 4) and D (5, − 1). P, Q, R and S are the mid-points of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS is a square? a rectangle? or a rhombus? Justify your answer.

Discussion

2385.	Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Draw a line m parallel to l.
Answer» Draw a line $l$ . Draw a perpendicular to $l$ at any point on $l$ . On this perpendicular choose a point X, 4 cm away from $l$ . Draw a line m parallel to $l$ .

Discussion

2386.	If ⎡⎢⎣x+3z+42y−7−6a−10b−3−210⎤⎥⎦=⎡⎢⎣063y−2−6−32c+22b+4−210⎤⎥⎦Find the values of a,b,c,x,y and z.
Answer» If $⎡ ⎢ ⎣ \begin{matrix} x + 3 & z + 4 & 2 y - 7 - 6 & a - 1 & 0 b - 3 & - 21 & 0 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 0 & 6 & 3 y - 2 - 6 & - 3 & 2 c + 2 2 b + 4 & - 21 & 0 \end{matrix} ⎤ ⎥ ⎦$ Find the values of $a, b, c, x, y and z$ .

Discussion

2387.	Four points A (6, 3), B (−3, 5), C(4, −2) and D (x, 3x) are given in such a way that ∆DBC∆ABC=12, find x.
Answer» Four points A (6, 3), B (−3, 5), C(4, −2) and D (x, 3x) are given in such a way that $\frac{∆ D B C}{∆ A B C} = \frac{1}{2},$ find x.

Discussion

2388.	The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is _______.
Answer» The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is _______.

Discussion

2389.	Question 2 (ii) Write whether the following statements are true or false. Justify your answers. Every quadratic equation has at least one real root.
Answer» Question 2 (ii) Write whether the following statements are true or false. Justify your answers. Every quadratic equation has at least one real root.

Discussion

2390.	In ∆ PQR right angled at Q, RP = 13cm, PQ = 12cm, then tan P and cot R are
Answer» In ∆ PQR right angled at Q, RP = 13cm, PQ = 12cm, then tan P and cot R are

Discussion

2391.	Find the middle term of the A.P. 6, 13, 20, ... , 216.
Answer» Find the middle term of the A.P. 6, 13, 20, ... , 216.

Discussion

2392.	Write the HCF of the smallest composite number and the smallest prime number
Answer» Write the HCF of the smallest composite number and the smallest prime number

Discussion

2393.	The perimeter of the rectangle is 82 m and its area is 400 m2. The breadth of the rectangle is ___ .
Answer» The perimeter of the rectangle is 82 m and its area is $400 m^{2}$ . The breadth of the rectangle is ___ .

Discussion

2394.	Prove the following identities: sec4A(1−sin4A)−2tan2A=1
Answer» Prove the following identities: $s e c^{4} A (1 - s i n^{4} A) - 2 t a n^{2} A = 1$

2394.

Prove the following identities: sec4A(1−sin4A)−2tan2A=1

Answer»

Prove the following identities:

$s e c^{4} A (1 - s i n^{4} A) - 2 t a n^{2} A = 1$

Discussion

2395.	In the given figure, O is the centre of the circle. Seg AB, seg AC are tangent segments. Radius of the circle is r and l(AB) = r , Prove that, ▢ABOC is a square.
Answer» In the given figure, O is the centre of the circle. Seg AB, seg AC are tangent segments. Radius of the circle is r and l(AB) = r , Prove that, ▢ABOC is a square.

Discussion

2396.	How many first-degree polynomials as factors a quadratic polynomial can have ?
Answer» How many first-degree polynomials as factors a quadratic polynomial can have ?

Discussion

2397.	If complex numbers=a+bi if and b are 0,then complex number will become zero , then is zero a complex number
Answer» If complex numbers=a+bi if and b are 0,then complex number will become zero , then is zero a complex number

Discussion

2398.	A hemispherical vessel of radius 7 m is filled with water. Find the amount of water (in litres) in the vessel. (1000 litres = 1 m3)718670
Answer» A hemispherical vessel of radius 7 m is filled with water. Find the amount of water (in litres) in the vessel. (1000 litres = 1 m $^{3}$ ) 718670

Discussion

2399.	If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is _______.
Answer» If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is _______.

Discussion

2400.	Define an arithmetic progression.
Answer» Define an arithmetic progression.

Discussion

Explore topic-wise InterviewSolutions in .

Find the area and perimeter of a square plot of land whose diagonal is 24 m long. Take 2=1.41

The area of the largest square that can be inscribed in a circle of radius r units is

If the point P(x,y) is equidistant from the points A(5,1) and B(1,5), then prove that x-y=0

Question 9Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see the given figure). Prove that ∠ACP=∠QCD

A car has two wipers which do not overlap. Each wiper has a blade of length 25cm sweeping through an angle of 115 degree. Find the total area cleaned at each sweep if the blades.

If the points A(1, 0), B(3, 2) and C(x, y) form an equilateral triangle, then coordinates of C can be

Given figure shows a triangle ABC circumscribing a circle. If ∠BOC=110∘, then ∠BAC=

Répondez au négatif.1. Vous êtes actrices?2. Il parle anglais?3. C'est une rue étroite?4. Marie remplit la fiche?5. Daniel et Stella font le devoir?6. Tu vas au bureau?

If x+y+z=0then x3+y3+z3 =___?

The line ax+by=a2 b2, will meet the y- axis at ____.

Find the sum of two middle terms of the A.P. : -43, -1, -23, -13,......., 413.

A rational number is its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form pq ? Give reasons.

If the system of equations 2x - y - z = 12, x - 2y + z = -4, x + y + λz = 4 has no solution, then λ = ________________.

Divide a line segment of length 14 cm internally in the ratio 2 : 5. Also, justify your construction.

33. the radius of a 2 cylinder of the same height are in the ratio 4:5, Then find the ratio of their volumes.

The co-ordinates of the point which divides (internally) the line joining the points (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 are

A die is thrown once. The probability of getting an even number on the die is

The mean proportional of the lines 6 cm &amp; 4 cm is _________.

Question 21If a+b+c=0, then a3+b3+c3 is equal toA) 0B) 2abC) 3abcD) 2abc

In order to paint a solid frustum, which area would be taken into consideration?

7. In the adjoining figure find Area of Triangle ABC and perimeter of Triangle ABC

In the given figure A, B and C are three points on a circle with centre O such that ∠BOC=30∘ and ∠AOB=60∘. If D is a point on the circle other than the arc ABC, find ∠ADC.

Construct a transverse common tangent to two circles of radii 2.5 cm and 3 cm with their centres 10 cm apart.

Find the value of p, if the mean of the following distribution is 20. x: 15 17 19 20+p 23 f: 2 3 4 5p 6

In ΔPQR, right angled at Q, PQ=4 cm and RQ=3 cm. Find the values of sin P, sin R, sec P and sec R.

If A=⎡⎢⎣28−40−1−23−15⎤⎥⎦ Find A+A'

If sin B = 1, find the value of B if 0≤B≤90.

Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.

Find 2 rational nos.between -3 and -2

If A=[22−32] and B=[0−110], then (B−1A−1)−1 equals to

ABCD is a rectangle formed by the points A (− 1, − 1), B (− 1, 4), C (5, 4) and D (5, − 1). P, Q, R and S are the mid-points of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS is a square? a rectangle? or a rhombus? Justify your answer.

Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Draw a line m parallel to l.

If ⎡⎢⎣x+3z+42y−7−6a−10b−3−210⎤⎥⎦=⎡⎢⎣063y−2−6−32c+22b+4−210⎤⎥⎦Find the values of a,b,c,x,y and z.

Four points A (6, 3), B (−3, 5), C(4, −2) and D (x, 3x) are given in such a way that ∆DBC∆ABC=12, find x.

The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is _______.

Question 2 (ii) Write whether the following statements are true or false. Justify your answers. Every quadratic equation has at least one real root.

In ∆ PQR right angled at Q, RP = 13cm, PQ = 12cm, then tan P and cot R are

Find the middle term of the A.P. 6, 13, 20, ... , 216.

Write the HCF of the smallest composite number and the smallest prime number

The perimeter of the rectangle is 82 m and its area is 400 m2. The breadth of the rectangle is ___ .

Prove the following identities: sec4A(1−sin4A)−2tan2A=1

In the given figure, O is the centre of the circle. Seg AB, seg AC are tangent segments. Radius of the circle is r and l(AB) = r , Prove that, ▢ABOC is a square.

How many first-degree polynomials as factors a quadratic polynomial can have ?

If complex numbers=a+bi if and b are 0,then complex number will become zero , then is zero a complex number

A hemispherical vessel of radius 7 m is filled with water. Find the amount of water (in litres) in the vessel. (1000 litres = 1 m3)718670

If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is _______.

Define an arithmetic progression.

The mean proportional of the lines 6 cm & 4 cm is _________.