JEE Main 2007 Mathematics — Questions with Solutions

A value of C for which the conclusion of Mean Value Theorem holds for the function f(x)= e x on the interval [1,3] is

The normal to a curve at P(x, y) meets the x-axis at G. If the distance of G from the origin is twice the abscissa of P…

The function f(x)= ⁻¹( x+ x) is an increasing function in

If p and q are positive real numbers such that p²+q²=1, then the maximum value of (p+q) is

The sum of the series (1)/(2 !)-(1)/(3 !)+(1)/(4 !)-… upto infinity is

In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the commo…

Let A(h, k), B(1,1) and C(2,1) be the vertices of a right angled triangle with A C as its hypotenuse. If the area of th…

If one of the lines of m y²+ (1-m² ) x y-m x²=0 is a bisector of the angle between the lines x y=0, then m is

Let P=(-1,0), Q=(0,0) and R=(3,3 √(3)) be three points. The equation of the bisector of the angle PQR

If (2,3,5) is one end of a diameter of the sphere x²+y²+z²-6 x-12 y-2 z+20=0, then the coordinates of the other end of…