List of top Mathematics Questions

If the angle of sector is 30°, then the area of a sector of the circle with radius 7 cm is___(use \(\pi = \frac{22}{7}\))

The angle of elevation of the top of the tower, whose height is 15 mts, at a point whose distance from the base of the tower is 15 mts is

If a right circular cylinder has base radius 7 cm and height 10 cm, then its volume is ____(use \(\pi = \frac{22}{7}\))

The value of \(\tan 26^\circ.  \tan 64^\circ\) is 

The value of cos 60° cos 30°- sin 60° sin 30° is

Find the area of the shaded region in figure, if ABCD is a square of side 14 cm, APD and BPC are semicircles.(use \(\pi = \frac{22}{7}\))

The value of \(\sqrt{\frac{1+sin\ \theta}{1-sin\ \theta}}\) is

A tangent AB at a point 'A' of a circle of radius 7 cm meets a line through the centre 'C' at a point 'B' so that CB=11 cm, then the length of AB =

If \(P(A) = \frac{4}{15}\),then \(P(\overline{A})=\)

A box contains 7 red marbles and 9 green marbles. If a marble is drawn at random from the box, then the probability of not getting a red marble is

If the ratio of base radii of right circular cylinder and cone is 2 : 3 and the ratio of their heights is 3: 4, then the ratio of their volumes is

The points of intersection of the lines 2x+3y-5=0 and 3x-4y+1=0 lies in which quadrant ?

The angle between a tangent to a circle and the radius drawn at the point of contact is

In the given figure, \(PQ||BC\). If AP=3 cm, BP=2 cm and CQ=3 cm, then AQ= 

If the ratio of corresponding sides of two similar triangles is 4: 9, then the ratio of areas of these triangles is

In any \(△ABC\), the value of \(\sin \left( \frac{A + B}{2} \right)\) is

In the given figure, \(∠ADE = ∠CBA\), if AD=3.8 cm, AE=3.6 cm, BE= 2.1 cm and BC= 4.2 cm, then DE =

If the total surface area of the cube is 864 cm², then its volume is

If the radius of a sphere is 3.5 cm, then the volume and total surface area of a sphere are respectively.... (use \(\pi=\frac{22}{7}\))

An enemy fighter jet is flying along the curve given by y = x² + 2. A soldier is placed at (3, 2) wants to shoot down the jet when it is nearest to him. Then the nearest distance is

Let f(x)=πcosx+x².The value of c∈(0,π) where f attains its local maximum/minumum is

Let F: R³ →R² be the linear map defined by F(x, y, z) = (3x+2y-4z, x-5y+3z). The basis of R³ is S and basis of R² is S', where S = {(1, 1, 1), (1, 1, 0), (1, 0, 0)} and S' = {(1, 3), (2, 5)}. Then the matrix of F in the bases of R³ and R² is

If A and B are events such that P(A)=\(\frac{1}{4}\), P(A/B)=\(\frac{1}{2}\) and P(B/A)=\(\frac{2}{3}\) then P(B) is