32581 + Interview Questions in Mathematics Page 222 InterviewSolution

11051.	\|z1 + z2\| = \|z1\| + \|z2\| is possible if(a) z2=z¯1(b) z2=1z1(c) arg (z1) = arg (z2)(d) \|z1\| = \|z2\|
Answer» \|z₁ + z₂\| = \|z₁\| + \|z₂\| is possible if (a) $z_{2} = {\bar{z}}_{1}$ (b) $z_{2} = \frac{1}{z_{1}}$ (c) arg (z₁) = arg (z₂) (d) \|z₁\| = \|z₂\|

Discussion

11052.	There are three consecutive integers such that the square of the first increased by the product of the other two gives 154. What are the integers?
Answer» There are three consecutive integers such that the square of the first increased by the product of the other two gives 154. What are the integers?

Discussion

11053.	if in an cylindrical boiler of height 2m and diameter 3.5m has a hemispherical lid of the same diameter . find the volume of the boiler
Answer» if in an cylindrical boiler of height 2m and diameter 3.5m has a hemispherical lid of the same diameter . find the volume of the boiler

Discussion

11054.	The arithmetic mean of 25 and 11 is ________
Answer» The arithmetic mean of 25 and 11 is ________

Discussion

11055.	A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, from the quadratic equation of find x.
Answer» A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, from the quadratic equation of find x.

Discussion

11056.	Write a program to swap two numbers using a third variable.
Answer» Write a program to swap two numbers using a third variable.

Discussion

11057.	What are the possibilities of outcomes when a coin is tossed in the air?
Answer» What are the possibilities of outcomes when a coin is tossed in the air?

Discussion

11058.

Write the lower limit of the modal class of the following frequency distribution? Age (in years) 0−10 10−20 20−30 30−40 40−50 50−60 Number of patients 16 13 6 11 27 18

Answer» Write the lower limit of the modal class of the following frequency distribution?

Age (in years)	0−10	10−20	20−30	30−40	40−50	50−60
Number of patients	16	13	6	11	27	18

Discussion

11059.	Solve: 3 tan θ+cot θ=5 cosec θ [4 MARKS]
Answer» Solve: $3 t a n θ + c o t θ = 5 c o s e c θ$ [4 MARKS]

Discussion

11060.	If tanA=512, then find the value of sinA+cosAsecA. CBSE 2008
Answer» $If \tan A = \frac{5}{12}, then find the value of (\sin A + \cos A) \sec A . [CBSE 2008]$

Discussion

11061.	If tanθ=x sinϕ1−xcosϕ and, tanϕ=y sinθ1−y cosθ thenxy=
Answer» If $t a n θ = \frac{x s i n ϕ}{1 - x c o s ϕ}$ and, $t a n ϕ = \frac{y s i n θ}{1 - y c o s θ} t h e n \frac{x}{y} =$

Discussion

11062.	The following table has been given with the relevant class mark and frequency.Class markFrequency581510252354457553Draw a Histogram for the given distribution.
Answer» The following table has been given with the relevant class mark and frequency. $\begin{matrix} Class mark & Frequency 5 & 8 15 & 10 25 & 2 35 & 4 45 & 7 55 & 3 \end{matrix}$ Draw a Histogram for the given distribution.

11062.

The following table has been given with the relevant class mark and frequency.Class markFrequency581510252354457553Draw a Histogram for the given distribution.

Answer»

The following table has been given with the relevant class mark and frequency.

$\begin{matrix} Class mark & Frequency 5 & 8 15 & 10 25 & 2 35 & 4 45 & 7 55 & 3 \end{matrix}$

Draw a Histogram for the given distribution.

Discussion

11063.	Express (cos 83∘−sec 76∘) in terms of trigonometric ratios of angles between 0∘ and 45∘.
Answer» Express $(c o s 83^{\circ} - s e c 76^{\circ})$ in terms of trigonometric ratios of angles between $0^{\circ}$ and $45^{\circ} .$

Discussion

11064.	Has the rational number 44122×57×72a terminating or a nonterminating decimal representation?
Answer» Has the rational number $\frac{441}{2^{2} \times 5^{7} \times 7^{2}}$ a terminating or a nonterminating decimal representation?

Discussion

11065.	Prove that the perpendicular at the point of contact of the tangent to a circle passes throught the centre.
Answer» Prove that the perpendicular at the point of contact of the tangent to a circle passes throught the centre.

Discussion

11066.	P=V^2/R in this equation p is indirectly proportional to R.P=I^2R here P is directly proportional to R . so what is the relation between P and R ??
Answer» P=V^2/R in this equation p is indirectly proportional to R. P=I^2R here P is directly proportional to R . so what is the relation between P and R ??

Discussion

11067.	The vector c directed along the internal bisector of the angle between the vectors a = 7^i − 4^j − 4^k and b = −2^i − ^j + 2^k with \|c\|=5√6, is
Answer» The vector c directed along the internal bisector of the angle between the vectors $a = 7^i - 4^j - 4^k a n d b = - 2^i -^j + 2^k$ with $\| c \| = 5 \sqrt{6}$ , is

Discussion

11068.	If 2 sin2θ - cos2θ = 2 , then find the value of θ .
Answer» If $2 \sin^{2} θ - \cos^{2} θ = 2$ , then find the value of $θ$ .

Discussion

11069.	Question 61State whether the following statement is True or False.The actual width of a storeroom is 280 cm. If the scale chosen to make its drawing is 1 : 7, then the width of the room in the drawing will be 40 cm.
Answer» Question 61 State whether the following statement is True or False. The actual width of a storeroom is 280 cm. If the scale chosen to make its drawing is 1 : 7, then the width of the room in the drawing will be 40 cm.

Discussion

11070.	If the vertices of a triangle are (1, −3), (4, p) and (−9, 7) and its area is 15 sq. units, find the value(s) of p. [CBSE 2012]
Answer» If the vertices of a triangle are (1, −3), (4, p) and (−9, 7) and its area is 15 sq. units, find the value(s) of p. [CBSE 2012]

Discussion

11071.

From the following particulars, prepare a Cash Book with Cash and Bank Columns: 2017 Jan. 1 Balance of Cash in Hand ₹ 15,000 and Bank Overdraft ₹ 6,000 3 Issued a cheque of ₹ 4,800 to Mr. Black and earned a discount of ₹ 200. 4 Direct deposit by Mr. Kapil in our bank account ₹3,800. Discount allowed ₹ 200. 5 Given as charity ₹ 100. 7 Issued a cheque of ₹ 500 to the petty cashier. 15 Goods worth ₹ 10,000 were sold to Ganesh on 10th January. Its payment was received today by cheque after deducting 5% cash discount. 16 Deposited the above cheque into Bank. 17 Goods purchased from Raghu for ₹ 8,000. Payment is made after deducting 3% cash discount. 18 Bought postage stamps ₹ 200. 20 Paid ₹ 4,000 by cheque for furniture purchased. 22 Arun who owed us ₹ 6,000 became bankrupt and paid 60 paise per ₹. 24 Collected from Anil ₹ 5,000 in cash and deposited into bank the next day. 24 Cash purchases of stationery ₹ 200. 25 X settled his account of ₹ 7,000 by cheque of ₹ 6,850. Cheque was deposited into the bank on 28th January. 27 Settled Y's account of ₹ 8,000 by cheque after deducting therefrom 212% cash discount. 29 Cash sales for ₹ 10,000, received cheque. 30 Interest charged by bank ₹ 1,500.

Answer» From the following particulars, prepare a Cash Book with Cash and Bank Columns:

2017
Jan. 1	Balance of Cash in Hand ₹ 15,000 and Bank Overdraft ₹ 6,000
3	Issued a cheque of ₹ 4,800 to Mr. Black and earned a discount of ₹ 200.
4	Direct deposit by Mr. Kapil in our bank account ₹3,800. Discount allowed ₹ 200.
5	Given as charity ₹ 100.
7	Issued a cheque of ₹ 500 to the petty cashier.
15	Goods worth ₹ 10,000 were sold to Ganesh on 10th January. Its payment was received today by cheque after deducting 5% cash discount.
16	Deposited the above cheque into Bank.
17	Goods purchased from Raghu for ₹ 8,000. Payment is made after deducting 3% cash discount.
18	Bought postage stamps ₹ 200.
20	Paid ₹ 4,000 by cheque for furniture purchased.
22	Arun who owed us ₹ 6,000 became bankrupt and paid 60 paise per ₹.
24	Collected from Anil ₹ 5,000 in cash and deposited into bank the next day.
24	Cash purchases of stationery ₹ 200.
25	X settled his account of ₹ 7,000 by cheque of ₹ 6,850.
	Cheque was deposited into the bank on 28th January.
27	Settled Y's account of ₹ 8,000 by cheque after deducting therefrom 2 $\frac{1}{2}$ % cash discount.
29	Cash sales for ₹ 10,000, received cheque.
30	Interest charged by bank ₹ 1,500.

Discussion

11072.	The 26th, 11th and last term of an A.P. are 0,3 and −15,respectively. Find the common difference and the number of terms.
Answer» The 26th, 11th and last term of an A.P. are 0,3 and $- \frac{1}{5}$ ,respectively. Find the common difference and the number of terms.

Discussion

11073.	In figure, AB and CD are two parallel tangents to a circle with center O. ST is tangent segment between the two parallel tangents touching the circle at Q. Show that ∠SOT=90∘. [4 MARKS]
Answer» In figure, AB and CD are two parallel tangents to a circle with center O. ST is tangent segment between the two parallel tangents touching the circle at Q. Show that $∠ S O T = 90^{\circ}$ . [4 MARKS]

11073.

In figure, AB and CD are two parallel tangents to a circle with center O. ST is tangent segment between the two parallel tangents touching the circle at Q. Show that ∠SOT=90∘. [4 MARKS]

Answer»

In figure, AB and CD are two parallel tangents to a circle with center O. ST is tangent segment between the two parallel tangents touching the circle at Q. Show that $∠ S O T = 90^{\circ}$ . [4 MARKS]

Discussion

11074.	The lock of a suitcase is a 3 digit even number. The number of favourable outcomes for units place is ____.5
Answer» The lock of a suitcase is a 3 digit even number. The number of favourable outcomes for units place is ____. 5

Discussion

11075.	What is the probability that a two digit number does not have the digit 1?
Answer» What is the probability that a two digit number does not have the digit 1?

Discussion

11076.	Quadratic polynomials, whose zeroes are –4 and 3 are given by ________.
Answer» Quadratic polynomials, whose zeroes are –4 and 3 are given by ________.

Discussion

11077.	A small hole of area of cross section 2 mm^2 is present near the bottom of a fully filled open tank of height 2m.Taking g=10m/s the rate of flow of water through the open hole would be nearly
Answer» A small hole of area of cross section 2 mm^2 is present near the bottom of a fully filled open tank of height 2m.Taking g=10m/s the rate of flow of water through the open hole would be nearly

Discussion

11078.	39.In a trapezium ABCD, AB is parallel to DC and DC = 3AB. EF drawn parallel to AB which cuts AD at F and BC at E such that AF/FD = 3/5. Diagonal DB intersects EF at G. Find the ratio of EF to AB.
Answer» 39.In a trapezium ABCD, AB is parallel to DC and DC = 3AB. EF drawn parallel to AB which cuts AD at F and BC at E such that AF/FD = 3/5. Diagonal DB intersects EF at G. Find the ratio of EF to AB.

Discussion

11079.	Question 4Write True or False and justify your answer :Through three collinear points, a circle can be drawn.
Answer» Question 4 Write True or False and justify your answer : Through three collinear points, a circle can be drawn.

Discussion

11080.	A die is dropped at random on the rectangular region of sides 3m×2m. What is the probability that it will land inside a circle(lying inside the rectangle) with diameter 1 m?
Answer» A die is dropped at random on the rectangular region of sides $3 m \times 2 m$ . What is the probability that it will land inside a circle(lying inside the rectangle) with diameter 1 m?

Discussion

11081.	Find the value of k for which each of the following systems of equations has no solution: 8x+5y=9,kx+10y=15.
Answer» Find the value of k for which each of the following systems of equations has no solution: $8 x + 5 y = 9, k x + 10 y = 15.$

11081.

Find the value of k for which each of the following systems of equations has no solution: 8x+5y=9,kx+10y=15.

Answer»

Find the value of k for which each of the following systems of equations has no solution:

$8 x + 5 y = 9, k x + 10 y = 15.$

Discussion

11082.	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.
Answer» 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.

Discussion

11083.	If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is(a) 60060(b) 80080(c) 70040(d) 80160
Answer» If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is (a) 60060 (b) 80080 (c) 70040 (d) 80160

Discussion

11084.	A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.
Answer» A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.

Discussion

11085.	In the figure, given below, AD = BC, ∠ BAC=30∘ and ∠CBD=70∘. Find: ∠ ABC
Answer» In the figure, given below, AD = BC, $∠ B A C = 30^{\circ}$ and $∠ C B D = 70^{\circ}$ . Find: $∠ A B C$

11085.

In the figure, given below, AD = BC, ∠ BAC=30∘ and ∠CBD=70∘. Find: ∠ ABC

Answer»

In the figure, given below, AD = BC, $∠ B A C = 30^{\circ}$ and $∠ C B D = 70^{\circ}$ . Find: $∠ A B C$

Discussion

11086.	Find the nature of the roots of the following quadratic equations. If the real roots exist, find them; (i) 2x2−3x+5=0
Answer» Find the nature of the roots of the following quadratic equations. If the real roots exist, find them; (i) $2 x^{2} - 3 x + 5 = 0$

Discussion

11087.	Find the value of x for which the points Ax, 2, B-3, -4 and C7, -5 are collinear. [CBSE 2015]
Answer» Find the value of x for which the points $A (x, 2), B (- 3, - 4) and C (7, - 5)$ are collinear. [CBSE 2015]

Discussion

11088.	A passenger train takes 3 hours less for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is the usual speed?
Answer» A passenger train takes 3 hours less for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is the usual speed?

Discussion

11089.	Six years ago,Zanit was twice as old as raju.The ratio of their present age is 9:5 respectively.what is the difference between their present age
Answer» Six years ago,Zanit was twice as old as raju.The ratio of their present age is 9:5 respectively.what is the difference between their present age

Discussion

11090.	'Amrit Dhara Ltd.' issued 800 Equity Shares of ₹ 100 each at a premium of 25% as fully paid-up in consideration of the purchase of plant and machinery of ₹ 1,00,000.Pass entries in company's Journal.
Answer» 'Amrit Dhara Ltd.' issued 800 Equity Shares of ₹ 100 each at a premium of 25% as fully paid-up in consideration of the purchase of plant and machinery of ₹ 1,00,000. Pass entries in company's Journal.

Discussion

11091.	The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.(i)(ii)(iii)(iv)(v)(v)
Answer» The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case. (i) (ii) (iii) (iv) (v) (v)

11091.

The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.(i)(ii)(iii)(iv)(v)(v)

Answer»

The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

(i)

(ii)

(iii)

(iv)

(v)

Discussion

11092.	Question 16The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching centre are given as follow ?Speed (in km/h)85−100100−115115−130130−145Number of players11985Calculate the median bowling speed.
Answer» Question 16 The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching centre are given as follow ? $\begin{matrix} S p e e d (i n k m / h) & 85 - 100 & 100 - 115 & 115 - 130 & 130 - 145 N u m b e r o f p l a y e r s & 11 & 9 & 8 & 5 \end{matrix}$ Calculate the median bowling speed.

Discussion

11093.	For observations x1,x2,x3,..........,xn, if ∑ni=1(xi+1)2=9n and ∑ni=1(xi−1)2=5n., then standard deviation of the data is
Answer» For observations $x_{1}, x_{2}, x_{3}, . . . . . . . . . ., x_{n},$ if $\sum_{i = 1}^{n} (x_{i} + 1)^{2} = 9 n$ and $\sum_{i = 1}^{n} (x_{i} - 1)^{2} = 5 n .$ , then standard deviation of the data is

Discussion

11094.	Choose the limits of the inverse sine function
Answer» Choose the limits of the inverse sine function

Discussion

11095.	The water drops fall at regular intervals from a tap of 9m above the ground. The 4th drop is leaving the tap at the instant, the first drop touches the ground. How high is the 3rd drop at that instant?
Answer» The water drops fall at regular intervals from a tap of 9m above the ground. The 4th drop is leaving the tap at the instant, the first drop touches the ground. How high is the 3rd drop at that instant?

Discussion

11096.	12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at pen and tell whether or not it is defective. one pen is taken out at random from this lot. Determine the probability that the pen taken out is good one.
Answer» 12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at pen and tell whether or not it is defective. one pen is taken out at random from this lot. Determine the probability that the pen taken out is good one.

Discussion

11097.	Solve :−2z−15≥11; x ϵ R
Answer» Solve $: - 2 z - 15 \geq 11; x ϵ R$

Discussion

11098.	A conical vessel whose internal radius is 10 cm and height 48 cm is full of water. Find the volume of water. If this water is poured into a cylindrical vessel with internal radius 20 cm, find the height to which the water level rises in it.
Answer» A conical vessel whose internal radius is 10 cm and height 48 cm is full of water. Find the volume of water. If this water is poured into a cylindrical vessel with internal radius 20 cm, find the height to which the water level rises in it.

Discussion

11099.

Points A,B,C and D are chosen on a semicircle and quadrilateral ABCD is drawn. Then tan A + tan B + tan C + tan D is

Answer»

Points A,B,C and D are chosen on a semicircle and quadrilateral ABCD is drawn.

Then tan A + tan B + tan C + tan D is

Discussion

11100.	24. How to create the equation of the circle
Answer» 24. How to create the equation of the circle

Discussion

Explore topic-wise InterviewSolutions in .

|z1 + z2| = |z1| + |z2| is possible if(a) z2=z¯1(b) z2=1z1(c) arg (z1) = arg (z2)(d) |z1| = |z2|

There are three consecutive integers such that the square of the first increased by the product of the other two gives 154. What are the integers?

if in an cylindrical boiler of height 2m and diameter 3.5m has a hemispherical lid of the same diameter . find the volume of the boiler

The arithmetic mean of 25 and 11 is ________

Write a program to swap two numbers using a third variable.

What are the possibilities of outcomes when a coin is tossed in the air?

Write the lower limit of the modal class of the following frequency distribution? Age (in years) 0−10 10−20 20−30 30−40 40−50 50−60 Number of patients 16 13 6 11 27 18

Solve: 3 tan θ+cot θ=5 cosec θ [4 MARKS]

If tanA=512, then find the value of sinA+cosAsecA. CBSE 2008

If tanθ=x sinϕ1−xcosϕ and, tanϕ=y sinθ1−y cosθ thenxy=

The following table has been given with the relevant class mark and frequency.Class markFrequency581510252354457553Draw a Histogram for the given distribution.

Express (cos 83∘−sec 76∘) in terms of trigonometric ratios of angles between 0∘ and 45∘.

Has the rational number 44122×57×72a terminating or a nonterminating decimal representation?

Prove that the perpendicular at the point of contact of the tangent to a circle passes throught the centre.

P=V^2/R in this equation p is indirectly proportional to R.P=I^2R here P is directly proportional to R . so what is the relation between P and R ??

The vector c directed along the internal bisector of the angle between the vectors a = 7^i − 4^j − 4^k and b = −2^i − ^j + 2^k with |c|=5√6, is

If 2 sin2θ - cos2θ = 2 , then find the value of θ .

Question 61State whether the following statement is True or False.The actual width of a storeroom is 280 cm. If the scale chosen to make its drawing is 1 : 7, then the width of the room in the drawing will be 40 cm.

If the vertices of a triangle are (1, −3), (4, p) and (−9, 7) and its area is 15 sq. units, find the value(s) of p. [CBSE 2012]

The 26th, 11th and last term of an A.P. are 0,3 and −15,respectively. Find the common difference and the number of terms.

In figure, AB and CD are two parallel tangents to a circle with center O. ST is tangent segment between the two parallel tangents touching the circle at Q. Show that ∠SOT=90∘. [4 MARKS]

The lock of a suitcase is a 3 digit even number. The number of favourable outcomes for units place is ____.5

What is the probability that a two digit number does not have the digit 1?

Quadratic polynomials, whose zeroes are –4 and 3 are given by ________.

A small hole of area of cross section 2 mm^2 is present near the bottom of a fully filled open tank of height 2m.Taking g=10m/s the rate of flow of water through the open hole would be nearly

39.In a trapezium ABCD, AB is parallel to DC and DC = 3AB. EF drawn parallel to AB which cuts AD at F and BC at E such that AF/FD = 3/5. Diagonal DB intersects EF at G. Find the ratio of EF to AB.

Question 4Write True or False and justify your answer :​​​​​​​Through three collinear points, a circle can be drawn.

A die is dropped at random on the rectangular region of sides 3m×2m. What is the probability that it will land inside a circle(lying inside the rectangle) with diameter 1 m?

Find the value of k for which each of the following systems of equations has no solution: 8x+5y=9,kx+10y=15.

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.

If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is(a) 60060(b) 80080(c) 70040(d) 80160

A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.

In the figure, given below, AD = BC, ∠ BAC=30∘ and ∠CBD=70∘. Find: ∠ ABC

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them; (i) 2x2−3x+5=0

Find the value of x for which the points Ax, 2, B-3, -4 and C7, -5 are collinear. [CBSE 2015]

A passenger train takes 3 hours less for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is the usual speed?

Six years ago,Zanit was twice as old as raju.The ratio of their present age is 9:5 respectively.what is the difference between their present age

'Amrit Dhara Ltd.' issued 800 Equity Shares of ₹ 100 each at a premium of 25% as fully paid-up in consideration of the purchase of plant and machinery of ₹ 1,00,000.Pass entries in company's Journal.

The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.(i)(ii)(iii)(iv)(v)(v)

Question 16The maximum bowling speeds, in km per hour, of 33 players at a cricket coaching centre are given as follow ?Speed (in km/h)85−100100−115115−130130−145Number of players11985Calculate the median bowling speed.

For observations x1,x2,x3,..........,xn, if ∑ni=1(xi+1)2=9n and ∑ni=1(xi−1)2=5n., then standard deviation of the data is

Choose the limits of the inverse sine function

The water drops fall at regular intervals from a tap of 9m above the ground. The 4th drop is leaving the tap at the instant, the first drop touches the ground. How high is the 3rd drop at that instant?

12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at pen and tell whether or not it is defective. one pen is taken out at random from this lot. Determine the probability that the pen taken out is good one.

Solve :−2z−15≥11; x ϵ R

A conical vessel whose internal radius is 10 cm and height 48 cm is full of water. Find the volume of water. If this water is poured into a cylindrical vessel with internal radius 20 cm, find the height to which the water level rises in it.

Points A,B,C and D are chosen on a semicircle and quadrilateral ABCD is drawn. Then tan A + tan B + tan C + tan D is

24. How to create the equation of the circle

Question 4Write True or False and justify your answer :Through three collinear points, a circle can be drawn.