List of top Mathematics Questions asked in SRMJEEE

In a triangle the angle are in A.P and the lengths of the larger sides are 10 and 9 respectively then the length of the third side can be

The middle term in the expansion of \((\frac{2x^3}{3}+\frac{3}{2x^2}) _{10}\) is

If the number of terms in, \((x+1+\frac{1}{x})^n,nεN\) is 301, then n is greater than

If the median of \(\frac{x}{5},x,\frac{x}{4},\frac{x}{2}\) and \(\frac{x}{3}\) (where x>0) is 8,then the value of x would be

The sum of the 25^th and 76^th terms of an AP is 101; the sum of the first 100 terms of the AP is

The distance between the two lines represented by the equation 9x ² + 24xy + 16y ² -12x + 16y -12 =0 is

If A, B are two mutually exclusive events, then

Let  and  be three vectors. A vector in the plane of b and c whose projection on a is  \(\sqrt{\frac{2}{3}}\) will be

A tetrahedron has vertices at 0(0,0,0), A(1,2,1), B(2,1,3) and C(-1,1,2) then the angle between the faces 0AB and ABC will be

Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line

The locus of the centre of a circle which touches externally the circle x² + y² - 6x - 6y + 14 = 0 and also touches the y-axis is given by the equation

If the sum of the slopes of the lines given by x ² - 2cxy - 7y² = 0 is four times product, then c=

I=\(∫^{\frac{π}{3}} _{\frac{π}{6} }\frac{dx}{1+√cot x}\), then I=

if ∫f(x)dx=f(x), then ∫{f(x)}² dx is equal to

The area of the region b'dd by the line y=x-5 and the x axis between the ordinates x=3 and x=7

The equation of the tangent to the circle x² + y² = 25 at (4,3) is

the equation of the chord of contact of tangents from (2,1) to the hyperbola \(\frac{x^2}{16}-\frac{y^2}{9}=1\) is 

If S = t³ - 4t² + 100 then the velocity when the accelaration is Zero is

In how many ways can 6 boys and 4 girls sit in a row?

Let f : R→R, g : R→R be two given functions. Such that f is injective and g is surjective, then which of the following is injective?

if \(x=\frac{3at}{(a+t^3)},y=\frac{3at^2}{(1+t^3)}, then \frac{dy}{dx }at \,\,t=\frac{1}{2}\) is

Suppose the function f(x)-f(2x) has the derivative 5 at x=1 and derivative 7 at x=2.The derivative of the function f(x)-f(4x) at x=1 has the value equal to