JEE Main 2015 Mathematics — Questions with Solutions

The normal to the curve x 2 + 2 x y - 3 y 2 = 0 , at 1 ,   1

The equation of a normal to the curve, sin ⁡ y = x sin ⁡ π 3 + y   at   x = 0 , is:

Let k and K be the minimum and the maximum values of the function f x = 1 + x 0.6 1 + x 0.6   in   0 ,  …

If Rolle's theorem holds for the function f x = 2 x 3 + b x 2 + c x ,   x ∈ - 1 , 1 at the point x = 1 2 , t…

Let f x be a polynomial of degree four and having its extreme values at x = 1 and x = 2 . If lim x → 0   1 +…

The distance from the origin, of the normal to the curve, x = 2 cos ⁡ t + 2 t sin ⁡ t ,   y = 2 sin &#…

If in a regular polygon the number of diagonals is 54 , then the number of sides of this polygon is:

Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A × B…

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices 0 ,…

The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of a man and a woman is