Explore topic-wise InterviewSolutions in .

A point is chosen inside the auxilary circle of an ellipse of eccentricity $\frac{2\sqrt{2}}{3}$ at random. The probability that the point lies outside the ellipse is

Sum of the first p, q and r terms of an A.P. are a, b and c respectively. Prove that

$\frac{a}{p}(q-r)+\frac{b}{q}(r-p)+\frac{c}{r}(p-q)=0$

Which of the following sets of quantum numbers represents an impossible arrangement?

Question 78

The probability of getting a prime number is the same as that of a a composite number in a throw of die ?

In the given figure, chords $AB=CD,\angle COD={60}^{\circ }$, and $\angle AOD={170}^{\circ }$.

Find the value of $\angle BOC$.

The median for grouped data is formed by using the formula:

The number of polynomials P(x) satisfying the equation P(x²) + 2x² + 10x = 2x. P(x + 1) + 3 is

What is the diagonal length of a TV screen whose dimensions are 80 x 60 cm?

Solve the following pair of equations:
$\frac{1}{x}+\frac{3}{y}=1$
$\frac{6}{x}-\frac{12}{y}=2$
(Where $x\ne 0,y\ne 0)$

The product of 2 consecutive natural numbers is 72. Find the numbers.

Find the sum of the terms of the finite AP :

1, 3, 5, 7,…,199

In given figure $△$ ABC and $△$ DEF are similar, BC=3cm, EF=4cm, and area of triangle ABC=54$c{m}^2$ find the area of $△$ DEF

The circumference of the brim of a conical cup is 22 cm and height is 6 cm. How much water does it hold?

If tan $\theta =\frac{15}{8}$, find the values of all T-ratios of $\theta$

The number of elements in each of universal set, set A and set B are represented as n(U), n(A), n(B) respectively. The number of elements that are not in set A and not in set B is given by

Which of the following sequence are in A.P. ?

(a) 3, 7, 11, 15, …….

(b) 8, 4, 2, 1, ……..

(c) 1, −1, −3, −5, …….

Draw the graph of $y=x^2-4x+6$ and show that it does not have real roots.

A 6 inch pizza costs ₹456, then the cost of 11 inch pizza is ___.

In the given figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm such that the segments BD and DC into which BC is divided by the point of contact D are, of lengths 6 cm and 9 cm respectively. If the area of △ABC = 54 cm² then find the lengths of sides of AB and AC.

Derive the formula for the curved surface area and total surface area of the frustum of cone.

Question 7

The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

$\begin{array}{cccccccc}Weight\left(inkg\right)& 40-45& 45-50& 50-55& 55-60& 60-65& 65-70& 70-75\\ Numberofstudents& 2& 3& 8& 6& 6& 3& 2\end{array}$

If the discriminant of the quadratic equation 4x² + px + 25 = 0; is 0, then find the value of p. Given $p>0.$

A meter long metal rod (cylindrical is shape) of radius 3.5 cm is melted and recast to form cones of radius 1 cm and height 2.1 cm. Find the number of cones so formed.

The 7th term of an A.P. is 32 and its 13th term is 62. Find the A.P.

Tangents from a point P are drawn onto a circle with angle between them as ${120}^{\circ }$ . The tangents from P meet the circle at A and B. If a line is drawn from point P through the center of the circle O, then find the measure of $\angle$POA.