32581 + Interview Questions in Mathematics

1.	In a right angled triangle ABC, if C is the right angle, then -
Answer» In a right angled triangle ABC, if C is the right angle, then -

Discussion

2.	The perimeter of a rectangular plot is 180 metre and its area is 1800 square metre .Take the length of the plot as x metre. Use the perimeter 180metre to write the value of the breadth in terms of x. Use the values of Length ,breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.
Answer» The perimeter of a rectangular plot is 180 metre and its area is 1800 square metre .Take the length of the plot as x metre. Use the perimeter 180metre to write the value of the breadth in terms of x. Use the values of Length ,breadth and the area to write an equation in x. Solve the equation to calculate the length and breadth of the plot.

Discussion

3.	Solve the following inequation and represent the solution set on the number line ? −3<−12−2x3≤56,xϵR
Answer» Solve the following inequation and represent the solution set on the number line ? $- 3 < - \frac{1}{2} - \frac{2 x}{3} \leq \frac{5}{6}, x ϵ R$

Discussion

4.	Radii of 2 circles are 6 cm and 8 cm. Find the distance between their centres if they touch internally.
Answer» Radii of 2 circles are 6 cm and 8 cm. Find the distance between their centres if they touch internally.

Discussion

5.	The shape formed by joining the points A(5, 5), B(4, 4) and C(3, 3) is ___
Answer» The shape formed by joining the points A(5, 5), B(4, 4) and C(3, 3) is ___

Discussion

6.	Money deposited in monthly installments for a fixed period of time is called
Answer» Money deposited in monthly installments for a fixed period of time is called

Discussion

7.	If the equation 9x2+6kx+4=0 has real and equal roots, then find the value of k.
Answer» If the equation $9 x^{2} + 6 k x + 4 = 0$ has real and equal roots, then find the value of k.

Discussion

8.	The length of shadow of a tower on the plan ground is √3 times the height of the tower. The angle of elevation of sun is:
Answer» The length of shadow of a tower on the plan ground is √3 times the height of the tower. The angle of elevation of sun is:

Discussion

9.	A manufacturing company M sells a computer to a distributor D for Rs 22000. The distributor D sells it to a retailer R for Rs 24750 and the retailer sells it to a consumer for Rs 26,000. If the rate of sales tax (under VAT) is 10%, find: i) the amount of VAT collected by the government on the sale of computer ii) the amount that the consumer pays for the machine.
Answer» A manufacturing company M sells a computer to a distributor D for Rs 22000. The distributor D sells it to a retailer R for Rs 24750 and the retailer sells it to a consumer for Rs 26,000. If the rate of sales tax (under VAT) is 10%, find: i) the amount of VAT collected by the government on the sale of computer ii) the amount that the consumer pays for the machine.

9.

A manufacturing company M sells a computer to a distributor D for Rs 22000. The distributor D sells it to a retailer R for Rs 24750 and the retailer sells it to a consumer for Rs 26,000. If the rate of sales tax (under VAT) is 10%, find: i) the amount of VAT collected by the government on the sale of computer ii) the amount that the consumer pays for the machine.

Answer»

A manufacturing company M sells a computer to a distributor D for Rs 22000. The distributor D sells it to a retailer R for Rs 24750 and the retailer sells it to a consumer for Rs 26,000. If the rate of sales tax (under VAT) is 10%, find:

i) the amount of VAT collected by the government on the sale of computer

ii) the amount that the consumer pays for the machine.

Discussion

10.	Rachel buys a box for ₹ 2376. The rate of the sales tax is 8%. She asks the shopkeepers to reduce the the price of the box to such an extent that she pays ₹ 2376 inclusive all the tax. Calculate the reduction needed in the cost price of the box ?
Answer» Rachel buys a box for ₹ 2376. The rate of the sales tax is $8 %$ . She asks the shopkeepers to reduce the the price of the box to such an extent that she pays ₹ 2376 inclusive all the tax. Calculate the reduction needed in the cost price of the box ?

Discussion

11.	A polynomial of degree three is called ……
Answer» A polynomial of degree three is called ……

Discussion

12.	In the given triangle ABC,∠A=50∘,∠c=50∘, AB =10 cm, then BC is equal to [sin 60∘=0.86,sin 50∘=0.76]
Answer» In the given triangle $A B C, ∠ A = 50^{\circ}, ∠ c = 50^{\circ}$ , AB =10 cm, then BC is equal to $[s i n 60^{\circ} = 0.86, s i n 50^{\circ} = 0.76]$

12.

In the given triangle ABC,∠A=50∘,∠c=50∘, AB =10 cm, then BC is equal to [sin 60∘=0.86,sin 50∘=0.76]

Answer»

In the given triangle $A B C, ∠ A = 50^{\circ}, ∠ c = 50^{\circ}$ , AB =10 cm, then BC is equal to $[s i n 60^{\circ} = 0.86, s i n 50^{\circ} = 0.76]$

Discussion

13.	From the top of a vertical tower, the angles of depression of two cars in the same straight line with the base of the tower, at an instant are found to be 45∘ and 60∘. If the cars are 100 m apart and are on the same side of the tower, find the height of the tower.
Answer» From the top of a vertical tower, the angles of depression of two cars in the same straight line with the base of the tower, at an instant are found to be $45^{\circ} a n d 60^{\circ}$ . If the cars are 100 m apart and are on the same side of the tower, find the height of the tower.

Discussion

14.	The number of terms in (x3+1+1x3)100 is
Answer» The number of terms in ${(x^{3} + 1 + \frac{1}{x^{3}})}^{100}$ is

Discussion

15.	Explain about quadratic polynomial.
Answer» Explain about quadratic polynomial.

Discussion

16.	11−sinA+11+sinA=2sec2A
Answer» $\frac{1}{1 - s i n A} + \frac{1}{1 + s i n A} = 2 s e c^{2} A$

Discussion

17.	Which is the missing number in the given factor tree?
Answer» Which is the missing number in the given factor tree?

Discussion

18.	The ratio compounded of the duplicate ratio of 8 : 7, the sub-duplicate of 9:64 and the reciprocal of 24 : 49 is
Answer» The ratio compounded of the duplicate ratio of 8 : 7, the sub-duplicate of 9:64 and the reciprocal of 24 : 49 is

Discussion

19.	Which of the following numbers is irrational?
Answer» Which of the following numbers is irrational?

Discussion

20.	The compound ratio of 2:3, 3:5, 5:1 and 4:3 is ____________
Answer» The compound ratio of 2:3, 3:5, 5:1 and 4:3 is ____________

Discussion

21.	A circus artist is climbing a 30 m long rope which is tightly stretched and tied from the top of a vertical pole to the ground. Find the distance of the pole to the peg in the ground if the angle made by the rope with the ground level is 30∘.
Answer» A circus artist is climbing a 30 m long rope which is tightly stretched and tied from the top of a vertical pole to the ground. Find the distance of the pole to the peg in the ground if the angle made by the rope with the ground level is $30^{\circ}$ .

Discussion

22.	if the point A(2, 1); B(a, b) and C(9, -1) are the vertices of a triangle, find the values of a and b.
Answer» if the point A(2, 1); B(a, b) and C(9, -1) are the vertices of a triangle, find the values of a and b.

Discussion

23.	Question 1 In the given figure, lines AB and CD intersect at O. if ∠AOC+∠BOE=70 and ∠BOD=40∘, find ∠BOE and reflex ∠COE.
Answer» Question 1 In the given figure, lines AB and CD intersect at O. if $∠ A O C + ∠ B O E = 70 a n d ∠ B O D = 40^{\circ}, f i n d ∠ B O E$ and reflex $∠ C O E .$

Discussion

24.	Find the zeros of the polynomial root3xsquare-8x+4root3
Answer» Find the zeros of the polynomial root3xsquare-8x+4root3

Discussion

25.	sin Acosec A+cos Asec A+tan Acot A= ___.A) 0B) 2C) 3D) 1
Answer» $sin A cosec A + cos A sec A + tan A cot A =$ ___. A) $0$ B) $2$ C) $3$ D) $1$

25.

sin Acosec A+cos Asec A+tan Acot A= ___.A) 0B) 2C) 3D) 1

Answer»

$sin A cosec A + cos A sec A + tan A cot A =$ ___.

A) $0$

B) $2$

C) $3$

D) $1$

Discussion

26.	AB is a diameter of a circle centre C. If co-ordinates of A are (5, 9) and C (–1, 6). Find: The equation of the tangent at B.
Answer» AB is a diameter of a circle centre C. If co-ordinates of A are (5, 9) and C (–1, 6). Find: The equation of the tangent at B.

26.

AB is a diameter of a circle centre C. If co-ordinates of A are (5, 9) and C (–1, 6). Find: The equation of the tangent at B.

Answer»

AB is a diameter of a circle centre C. If co-ordinates of A are (5, 9) and C (–1, 6). Find:

The equation of the tangent at B.

Discussion

27.	A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30∘, which is approaching the foot of the tower with a uniform speed. 12 seconds later, the angle of depression of the car is found to be 60∘. Find the time taken by the car to reach the foot of the tower from this point.
Answer» A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of $30^{\circ}$ , which is approaching the foot of the tower with a uniform speed. 12 seconds later, the angle of depression of the car is found to be $60^{\circ}$ . Find the time taken by the car to reach the foot of the tower from this point.

Discussion

28.	If the points p(-3,9) ,Q(a,b) ,R(4,-5)are collinear and a+b=1.Find the value of a & b.
Answer» If the points p(-3,9) ,Q(a,b) ,R(4,-5)are collinear and a+b=1.Find the value of a & b.

Discussion

29.	Mr. Ranjit has a saving bank account. His passbook has the following entries. DateParticularsWithdrawlDepositBalanceAPR 01−20165129Jun 10Cheque20003129Oct 18Self60009129Nov 10Cash320012329Dec 21NEFT Transfer41258204Feb 12Cash16009804 The interest due to him at the end of the financial year (March 31 2017) at the rate of 6% per annum will be.
Answer» Mr. Ranjit has a saving bank account. His passbook has the following entries. $\begin{matrix} D a t e & P a r t i c u l a r s & W i t h d r a w l & D e p o s i t & B a l a n c e A P R 01 - 2016 & 5129 J u n 10 & C h e q u e & 2000 & 3129 O c t 18 & S e l f & 6000 & 9129 N o v 10 & C a s h & 3200 & 12329 D e c 21 & N E F T T r a n s f e r & 4125 & 8204 F e b 12 & C a s h & 1600 & 9804 \end{matrix}$ The interest due to him at the end of the financial year (March 31 2017) at the rate of 6 $%$ per annum will be.

29.

Mr. Ranjit has a saving bank account. His passbook has the following entries. DateParticularsWithdrawlDepositBalanceAPR 01−20165129Jun 10Cheque20003129Oct 18Self60009129Nov 10Cash320012329Dec 21NEFT Transfer41258204Feb 12Cash16009804 The interest due to him at the end of the financial year (March 31 2017) at the rate of 6% per annum will be.

Answer»

Mr. Ranjit has a saving bank account. His passbook has the following entries.

$\begin{matrix} D a t e & P a r t i c u l a r s & W i t h d r a w l & D e p o s i t & B a l a n c e A P R 01 - 2016 & 5129 J u n 10 & C h e q u e & 2000 & 3129 O c t 18 & S e l f & 6000 & 9129 N o v 10 & C a s h & 3200 & 12329 D e c 21 & N E F T T r a n s f e r & 4125 & 8204 F e b 12 & C a s h & 1600 & 9804 \end{matrix}$

The interest due to him at the end of the financial year (March 31 2017) at the rate of 6 $%$ per annum will be.

Discussion

30.	The price of a TV set including 8% sales tax is Rs 16,200. When the rate of sales tax was increased the customer had to pay Rs 300 more. Find the new rate of sales tax.
Answer» The price of a TV set including 8% sales tax is Rs 16,200. When the rate of sales tax was increased the customer had to pay Rs 300 more. Find the new rate of sales tax.

Discussion

31.	If the HCF of 79 and 97 is expressible in the form 97n−79m ,then the value of m−n=?
Answer» If the HCF of $79$ and $97$ is expressible in the form $97 n - 79 m$ ,then the value of $m - n = ?$

Discussion

32.	All the four friends, viz. Aashish, Kritika, Rahul and Sunita are sitting at the corners of a square table facing the centre. Find Kritika's position with respect to Sunita. I. Aashish sits second to the right of Sunita. Rahul sits to immediate left of Aashish. II. Kritika sits second to the right of Rahul. Aashish sits to immediate right of Kritika
Answer» All the four friends, viz. Aashish, Kritika, Rahul and Sunita are sitting at the corners of a square table facing the centre. Find Kritika's position with respect to Sunita. I. Aashish sits second to the right of Sunita. Rahul sits to immediate left of Aashish. II. Kritika sits second to the right of Rahul. Aashish sits to immediate right of Kritika

32.

All the four friends, viz. Aashish, Kritika, Rahul and Sunita are sitting at the corners of a square table facing the centre. Find Kritika's position with respect to Sunita. I. Aashish sits second to the right of Sunita. Rahul sits to immediate left of Aashish. II. Kritika sits second to the right of Rahul. Aashish sits to immediate right of Kritika

Answer»

All the four friends, viz. Aashish, Kritika, Rahul and Sunita are sitting at the corners of a square table facing the centre. Find Kritika's position with respect to Sunita.

I. Aashish sits second to the right of Sunita. Rahul sits to immediate left of Aashish.

II. Kritika sits second to the right of Rahul. Aashish sits to immediate right of Kritika

Discussion

33.	Does a quadriatic polynomial with 0 zeroes have no zeroes or have 0 as their zeroes.If no zeroes or 0 as it's zeroes give an example.
Answer» Does a quadriatic polynomial with 0 zeroes have no zeroes or have 0 as their zeroes.If no zeroes or 0 as it's zeroes give an example.

Discussion

34.	Find the mean of the step deviations, if the assumed mean "a"=250: Class intervalFrequency(fi)Class mark(xi)di=xi−aui=dih0−1004050−200−2100−20039150−100−1200−3003425000300−400303501001400−500454502002
Answer» Find the mean of the step deviations, if the assumed mean "a"=250: $\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a & u_{i} = \frac{d_{i}}{h} 0 - 100 & 40 & 50 & - 200 & - 2 100 - 200 & 39 & 150 & - 100 & - 1 200 - 300 & 34 & 250 & 0 & 0 300 - 400 & 30 & 350 & 100 & 1 400 - 500 & 45 & 450 & 200 & 2 \end{matrix}$

Discussion

35.	ABC is a triangle, whose vertices are A(2, -4), B(-2, 1) and C(6, -6). Find its centroid and the length of the median through A. [4 MARKS]
Answer» ABC is a triangle, whose vertices are A(2, -4), B(-2, 1) and C(6, -6). Find its centroid and the length of the median through A. [4 MARKS]

Discussion

36.	The sum of the squares of two consecutive natural numbers is 41. Find the numbers.
Answer» The sum of the squares of two consecutive natural numbers is $41.$ Find the numbers.

Discussion

37.	The value of θ for which 2cos2θ + sinθ - 2 = 0, 0o < θ ≤ 90o is:
Answer» The value of θ for which 2cos²θ + sinθ - 2 = 0, 0^o < θ ≤ 90^o is:

Discussion

38.	In the given figure; O is the center of the circle & AB is a tangent at B. If AB = 15 cm & AC = 7.5 cm. Calculate the radius of the circle.
Answer» In the given figure; O is the center of the circle & AB is a tangent at B. If AB = 15 cm & AC = 7.5 cm. Calculate the radius of the circle.

38.

In the given figure; O is the center of the circle & AB is a tangent at B. If AB = 15 cm & AC = 7.5 cm. Calculate the radius of the circle.

Answer»

In the given figure; O is the center of the circle & AB is a tangent at B. If AB = 15 cm & AC = 7.5 cm. Calculate the radius of the circle.

Discussion

39.	If the 4th and 9th terms of a GP are 54 and 13122 respectively, find the GP. Also, find its general term.
Answer» If the 4th and 9th terms of a GP are 54 and 13122 respectively, find the GP. Also, find its general term.

Discussion

40.	2 \|\| chords of length 8cm each lie on opposite sides of the center of a circle of radius 5cm. Find the distance between the chords.
Answer» 2 \|\| chords of length 8cm each lie on opposite sides of the center of a circle of radius 5cm. Find the distance between the chords.

Discussion

41.	x2+x√2+1=0
Answer» $x^{2} + \frac{x}{\sqrt{2}} + 1 = 0$

41.

x2+x√2+1=0

Answer»

$x^{2} + \frac{x}{\sqrt{2}} + 1 = 0$

Discussion

42.	In Fig. 7, two equal circles, with centres O and O', touch each other at X. OO' produced meets the circle with centre O' at A. AC is tangent to the circle with centre O, at the point C. O'D is perpendicular AC. Find the value of DO′CO.
Answer» In Fig. 7, two equal circles, with centres O and O', touch each other at X. OO' produced meets the circle with centre O' at A. AC is tangent to the circle with centre O, at the point C. O'D is perpendicular AC. Find the value of $\frac{D O^{'}}{C O}$ .

Discussion

43.	A point P is 10 cm away from the center of a circle. The length of the tangent drawn from P to the circle is 8 cm. The radius of the circle is equal to ____.
Answer» A point P is 10 cm away from the center of a circle. The length of the tangent drawn from P to the circle is 8 cm. The radius of the circle is equal to ____.

Discussion

44.	In an AP, Sum of the 10 terms is 180 and last term is 28, then Find first term.
Answer» In an AP, Sum of the 10 terms is 180 and last term is 28, then Find first term.

Discussion

45.	The equation of a line passing though origin and with slope equal to 1 is .
Answer» The equation of a line passing though origin and with slope equal to 1 is .

Discussion

46.	A bag contains white,black and red balls only.A ball is drawn at random from the bag.If the probability of getting a white ball is 310 and that of a black ball is 25,then find thew probability of getting a red ball.if the ball bag contains 20 black balls,then find the total number of balls in the bag.
Answer» A bag contains white,black and red balls only.A ball is drawn at random from the bag.If the probability of getting a white ball is $\frac{3}{10}$ and that of a black ball is $\frac{2}{5}$ ,then find thew probability of getting a red ball.if the ball bag contains 20 black balls,then find the total number of balls in the bag.

Discussion

47.	If the point C(-2, 3) is equidistant from the points A(3, -1) and B(x, 8), find the values of x. Also, find the distance BC.
Answer» If the point C(-2, 3) is equidistant from the points A(3, -1) and B(x, 8), find the values of x. Also, find the distance BC.

Discussion

48.	If P,Q and R are n×n matrix and det(P) = 2, det(Q) = 3 and det(R) = 5, then find the value of det(P2QR−1).
Answer» If P,Q and R are $n \times n$ matrix and det(P) = 2, det(Q) = 3 and det(R) = 5, then find the value of $det (P^{2} {QR}^{- 1}) .$

Discussion

49.	The value of (0.05)log√20 (0.1+0.01+0.001+.....)
Answer» The value of $(0.05)_{\sqrt{20}}^{l o g} (0.1 + 0.01 + 0.001 + . . . . .)$

Discussion

50.	In the given figure, O is the centre of two concentric circles fo radii 5 cm and 3 cm. From an external point P tangents PA and PB are drawn to these circles. If PA = 12 cm then PB is equal to (a) 5√2 cm (b) 3√5 cm (c) 4√10 cm (d) 5√10 cm
Answer» In the given figure, O is the centre of two concentric circles fo radii 5 cm and 3 cm. From an external point P tangents PA and PB are drawn to these circles. If PA = 12 cm then PB is equal to (a) $5 \sqrt{2}$ cm (b) $3 \sqrt{5}$ cm (c) $4 \sqrt{10}$ cm (d) $5 \sqrt{10}$ cm

50.

In the given figure, O is the centre of two concentric circles fo radii 5 cm and 3 cm. From an external point P tangents PA and PB are drawn to these circles. If PA = 12 cm then PB is equal to (a) 5√2 cm (b) 3√5 cm (c) 4√10 cm (d) 5√10 cm

Answer»

In the given figure, O is the centre of two concentric circles fo radii 5 cm and 3 cm. From an external point P tangents PA and PB are drawn to these circles. If PA = 12 cm then PB is equal to

(a) $5 \sqrt{2}$ cm (b) $3 \sqrt{5}$ cm (c) $4 \sqrt{10}$ cm (d) $5 \sqrt{10}$ cm

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In a right angled triangle ABC, if C is the right angle, then -

Solve the following inequation and represent the solution set on the number line ? −3&lt;−12−2x3≤56,xϵR

Radii of 2 circles are 6 cm and 8 cm. Find the distance between their centres if they touch internally.

The shape formed by joining the points A(5, 5), B(4, 4) and C(3, 3) is ___

Money deposited in monthly installments for a fixed period of time is called

If the equation 9x2+6kx+4=0 has real and equal roots, then find the value of k.

The length of shadow of a tower on the plan ground is √3 times the height of the tower. The angle of elevation of sun is:

Rachel buys a box for ₹ 2376. The rate of the sales tax is 8%. She asks the shopkeepers to reduce the the price of the box to such an extent that she pays ₹ 2376 inclusive all the tax. Calculate the reduction needed in the cost price of the box ?

A polynomial of degree three is called ……

In the given triangle ABC,∠A=50∘,∠c=50∘, AB =10 cm, then BC is equal to [sin 60∘=0.86,sin 50∘=0.76]

From the top of a vertical tower, the angles of depression of two cars in the same straight line with the base of the tower, at an instant are found to be 45∘ and 60∘. If the cars are 100 m apart and are on the same side of the tower, find the height of the tower.

The number of terms in (x3+1+1x3)100 is

Explain about quadratic polynomial.

11−sinA+11+sinA=2sec2A

Which is the missing number in the given factor tree?

The ratio compounded of the duplicate ratio of 8 : 7, the sub-duplicate of 9:64 and the reciprocal of 24 : 49 is

Which of the following numbers is irrational?

The compound ratio of 2:3, 3:5, 5:1 and 4:3 is ____________

A circus artist is climbing a 30 m long rope which is tightly stretched and tied from the top of a vertical pole to the ground. Find the distance of the pole to the peg in the ground if the angle made by the rope with the ground level is 30∘.

if the point A(2, 1); B(a, b) and C(9, -1) are the vertices of a triangle, find the values of a and b.

Question 1 In the given figure, lines AB and CD intersect at O. if ∠AOC+∠BOE=70 and ∠BOD=40∘, find ∠BOE and reflex ∠COE.

Find the zeros of the polynomial root3xsquare-8x+4root3

sin Acosec A+cos Asec A+tan Acot A= ___.A) 0B) 2C) 3D) 1

AB is a diameter of a circle centre C. If co-ordinates of A are (5, 9) and C (–1, 6). Find: The equation of the tangent at B.

If the points p(-3,9) ,Q(a,b) ,R(4,-5)are collinear and a+b=1.Find the value of a & b.

The price of a TV set including 8% sales tax is Rs 16,200. When the rate of sales tax was increased the customer had to pay Rs 300 more. Find the new rate of sales tax.

If the HCF of 79 and 97 is expressible in the form 97n−79m ,then the value of m−n=?

Does a quadriatic polynomial with 0 zeroes have no zeroes or have 0 as their zeroes.If no zeroes or 0 as it's zeroes give an example.

Find the mean of the step deviations, if the assumed mean "a"=250: Class intervalFrequency(fi)Class mark(xi)di=xi−aui=dih0−1004050−200−2100−20039150−100−1200−3003425000300−400303501001400−500454502002

ABC is a triangle, whose vertices are A(2, -4), B(-2, 1) and C(6, -6). Find its centroid and the length of the median through A. [4 MARKS]

The sum of the squares of two consecutive natural numbers is 41. Find the numbers.

The value of θ for which 2cos2θ + sinθ - 2 = 0, 0o &lt; θ ≤ 90o is:

In the given figure; O is the center of the circle &amp; AB is a tangent at B. If AB = 15 cm &amp; AC = 7.5 cm. Calculate the radius of the circle.

If the 4th and 9th terms of a GP are 54 and 13122 respectively, find the GP. Also, find its general term.

2 || chords of length 8cm each lie on opposite sides of the center of a circle of radius 5cm. Find the distance between the chords.

x2+x√2+1=0

In Fig. 7, two equal circles, with centres O and O', touch each other at X. OO' produced meets the circle with centre O' at A. AC is tangent to the circle with centre O, at the point C. O'D is perpendicular AC. Find the value of DO′CO.

A point P is 10 cm away from the center of a circle. The length of the tangent drawn from P to the circle is 8 cm. The radius of the circle is equal to ____.

In an AP, Sum of the 10 terms is 180 and last term is 28, then Find first term.

The equation of a line passing though origin and with slope equal to 1 is .

If the point C(-2, 3) is equidistant from the points A(3, -1) and B(x, 8), find the values of x. Also, find the distance BC.

If P,Q and R are n×n matrix and det(P) = 2, det(Q) = 3 and det(R) = 5, then find the value of det(P2QR−1).

The value of (0.05)log√20 (0.1+0.01+0.001+.....)

In the given figure, O is the centre of two concentric circles fo radii 5 cm and 3 cm. From an external point P tangents PA and PB are drawn to these circles. If PA = 12 cm then PB is equal to (a) 5√2 cm (b) 3√5 cm (c) 4√10 cm (d) 5√10 cm

Solve the following inequation and represent the solution set on the number line ? −3<−12−2x3≤56,xϵR

The value of θ for which 2cos2θ + sinθ - 2 = 0, 0o < θ ≤ 90o is:

In the given figure; O is the center of the circle & AB is a tangent at B. If AB = 15 cm & AC = 7.5 cm. Calculate the radius of the circle.