List of top Mathematics Questions

If \(P(A) = \frac{4}{15}\),then \(P(\overline{A})=\)
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
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 =
AD=3.8 cm, AE=3.6 cm
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, \(PQ||BC\). If AP=3 cm, BP=2 cm and CQ=3 cm, then AQ= 
AP=3 cm, BP=2 cm
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 value of \(\sqrt{\frac{1+sin\ \theta}{1-sin\ \theta}}\) is
The value of \(\tan 26^\circ.  \tan 64^\circ\) is 
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
The angle between a tangent to a circle and the radius drawn at the point of contact 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 \(\pi = \frac{22}{7}\))
area of the shaded region

Let a = i + 2j -2k and b = 2i - j - 2k be two vectors. If the orthogonal projection vector of a on b is x and orthogonal projection vector of b on a is y then |x - y| =

In a triangle BC, if the mid points of sides AB, BC, CA are (3,0,0), (0,4,0),(0,0,5) respectively, then AB2 + BC2 + CA2 =

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

If the line ax+by+c=0 is a normal to the curve xy=1, then 
 

The number of solutions of tanx+secx=2cosx, n(0,2π) are?

\(f(x) = x^2 + 1\), \(g(x) = \frac{1}{x}\). Find \(f(g(g(f(x))))\) at \(x = 1\)
Considering only the principal value of an inverse function, the set: A= { x ≥ 0, tan-1x + tan-16x = \(\frac{\pi}{4}\)}, then A is... 
 

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

General Solution of the differential equation:
\(cos\,x(1+cos\,y)dx-sin\,y(1+sin\,x)dy=0\) is:

If nCr denotes the number of combinations of n distinct things taken r at a time, then the domain of the function g (x)= (16-x)C(2x-1)  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