If $\int (x^{2020}+x^{804}+x^{402}){(2x^{1608}+5x^{402}}^{}{+10)}^{1/402}dx=\frac{1}{10a}{(2x^{2010}+5x^{804}+{10}^{402})}^{a/402}$. Then $(a-400)$ is equal to .......

If x=1+log(a) bc, y=1+log(b) ca, z=1+log(c) ab, then (xyz)/(xy+yz+zx) ...

If a curve is represented parametrically by the equations x=4t^(3)+3 a...

The slope of one of the common tangent to circle x^(2)+y^(2)=1 and ell...

If the equation 3x^(2)+6xy+my^(2)=0 represents a pair of coincident st...

No. of solutions of 16^(sin^2x)+16^(cos^2x)=10, 0 le x le 2 pi is

Let f : [-1, -1/2] rarr [-1, 1] is defined by f(x)=4x^(3)-3x, then f^(...

Equation of normal to y=tan x at (alpha, tan alpha)

Let f(x) = a0+a1x+a2x^2+........anx^n , where ai are non-negative inte...

If f(x)=secx, then

Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

If y(x) is the solution of the differential equation (dy)/(dx)=-2x (y-...

A={1, 2, 3, ..., 9}. If three numbers are selected from set A and are ...

If alpha, beta are roots of the equation x^(2) + x + 1 = 0, then the e...

A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

about to only mathematics

Let a relation R on the set N of natural numbers be defined at (x ,y) ...

The function ..................

If f(x)=1-x-x^(3), .............

The value of k if