JEE Main 2016 Mathematics — Questions with Solutions

Let C be a curve given by y x = 1 +   4 x - 3 , x > 3 4 . If P is a point on C, such that the tangent at P has…

Consider f x = tan - 1 ⁡ 1 + sin ⁡ x 1 - sin ⁡ x ,   x   ∈ 0 , π 2 . A normal to…

Let f x = sin 4 ⁡ x + cos 4 ⁡ x . Then, f is an increasing function in the interval:

The minimum distance of a point on the curve y = x 2 - 4 from the origin is

A wire of length 2 units is cut into two parts which are bent respectively to form a square of side = x units and a cir…

If the tangent at a point P , with parameter t , on the curve x = 4 t 2 + 3 ,   y = 8 t 3 - 1 ,   t   &#…

Let A B C be a triangle whose circumcentre is at P . If the position vectors A ,   B ,   C and P are a &#8594…

The distance of the point 1 ,   - 2 ,   4 from the plane passing through the point 1 ,   2 ,   2 an…

The shortest distance between the lines x 2 = y 2 = z 1 and x + 2 - 1 = y - 4 8 = z - 5 4 , lies in the interval:

A B C is a triangle in a plane with vertices A 2 ,   3 ,   5 ,   B - 1 ,   3 ,   2 and C &#955…