Explore topic-wise InterviewSolutions in .

In the given figure find tan P − cot R

In Triangle $ABC,AB=15cm,AC=8cm,\angle A={50}^{\circ },$ as shown below. Find the length of BC. $[sin{50}^{\circ }=0.76,cos{50}^{\circ }=0.64]$

$\frac{1+sin({90}^{\circ }-\theta )-{cos}^2({90}^{\circ }-\theta )}{cos({90}^{\circ }-\theta )[1+sin({90}^{\circ }-\theta \left)\right]}=$

There is a circle of diameter 10 cm. A chord of length 6 cm is drawn inside the circle. What is the distance between the centre and this chord in cm?

A gas obeys the equation of state P(V-b) = RT (The parameter b is constant). The slope for an isochore will be:

If the circumference of a circle of radius $r$ is equal to the perimeter of a semicircle of radius $R$, then $R:r$ equals

The mid-point of the line segment joining $(2,1)$ and $(5,3)$ is

Which of the following is an example of an arithmetic progression?

A photograph of a house occupies an area of 1.75cm² on a 35mm slide. The slide is projected onto a screen, the area of the house on the screen is 1.55m^2. Find the linear magnification of the projector screen arrangement

If $\text{Adj}\left[\begin{array}{ccc}1& 0& 2\\ -1& 1& -2\\ 0& 2& 1\end{array}\right]=\left[\begin{array}{ccc}5& a& -2\\ 1& 1& 0\\ -2& -2& b\end{array}\right],\text{then}\left[ab\right]=$

Perform the following arithmetic operations: [4 MARKS]
i) 0.22 + 1.0052 = ?
ii) 1.723 - 0.546 = ?
iii) 1.42 $\times$9.24 = ?
iv) 0.52 + 0.48 = ?

If the n${}^{th}$ term of two AP's 63, 65, 67 .... and 3, 10, 17, .... is equal, then find the value of 'n'.

The hypotenuse of a right-angled triangle is 20 m. If the difference between the lengths of the other two sides is 4 m., find the length of the sides.

A box contains slips numbered 1, 2, 3, 4. Another box contains slips numbered 1, 2, 3. If one slip is taken from each, what is the probability of getting a sum which is a multiple of three?

Cosec A+1/ cosec A- 1 = (sec A+ tan A)²

1. 1

Thegivenfigure depicts a racing track whose left and right ends are semicircular.

The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find:

(i) The distance around the track along its inner edge

(ii) The area of the track

The point P is the foot of perpendicular from A (-5, 7) to the line 2x - 3y + 18 = 0.

Determine :

(i) the equation of the line AP

(ii) the co-ordinates of P

Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of ΔPQR (see the given figure). Show that ΔABC ∼ ΔPQR.

How will one change this sentence to an interrogative sentence?

She promised that she will never lie in the future.

Match the correct expression for volume of the following 3D - shapes.

What is the solution of the pair of linear equations $x+y=18$ and $x-2y=0$?

If one zero of the quadratic polynomial f (x)= 4x^2-8kx-9 is negative of the other, find the value of k

Which of the following is not a polynomial?

Prove that $({\text{cos}}^2{48}^{\circ }-{\text{sin}}^2{12}^{\circ })=\frac{(\sqrt{5}+1)}{8}$

For discontinuous grouped data, the class interval is given in _______ form.

The mid- point P of the line segment joining the points A (-10, 4) and B (-2, 0) lies on the line segment joining the point C (-9, -4) and D (-4, y). Find the ratio in which P divides CD. Also, find the value of y.

Median $=L+\left[\frac{(\frac{N}{2}+F)}{f}\right]h$
Explain the different notation used in this formula .

In a year Raju gave the examination of maths 11 times and the number of marks obtained are listed below in the form of table in each of his examination