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 \(\pi = \frac{22}{7}\))
Find the area of the shaded region in figure, if ABCD is a square of side 14 cm, APD and BPC are semicircles.(use \(\pi = \frac{22}{7}\))
area of the shaded region
If the radius of a sphere is 3.5 cm, then the volume and total surface area of a sphere are respectively.... (use \(\pi=\frac{22}{7}\))
The points of intersection of the lines 2x+3y-5=0 and 3x-4y+1=0 lies in which quadrant ?
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 =
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
The value of \(\tan 26^\circ.  \tan 64^\circ\) is 
The value of cos 60° cos 30°- sin 60° sin 30° is
In the given figure, \(PQ||BC\). If AP=3 cm, BP=2 cm and CQ=3 cm, then AQ= 
AP=3 cm, BP=2 cm
If the ratio of corresponding sides of two similar triangles is 4: 9, then the ratio of areas of these triangles is
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

The differential equation dy/dx=√1-y2/y determines a family of circles with

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
Let f(x)=[x2]sinπx, x>0. Then
If f(x)=3\(\sqrt[3]{x^2}-x^2\), then
If (2,-6),(5,2) and (-2,2) constitute the vertices of a triangle then the the line joining the origin and its orthocentre is
Let A and B be two independent events such that the odds in favour of A and B are \(1:1 \) and \(3:2\) respectively .Then the probability that only one of the two occurs is 
\(\int\sqrt{\cosec x-\sin x}\ dx=\)

Solve for x, given \( \tan^{-1}\left(\frac{1 - x}{1 + x}\right) = \frac{1}{2} \tan^{-1}(x) \)

If \(1+ (√1+x) tanx = 1+ (√1-x)\)  then \(sin4x\)  is ?

 

Find area bounded by region, y=3x+1, y=4x+1 and x=3?
Find probability of getting a black card on a face card from a well shuffled deck of 52 cards?

If x dy= y(dx + ydy), x(1)=1, y(x)>0, then y (-3) is?