If tangent to the curve x = at², y = 2at is perpendicular to x axis, then its point of contact is:

Find ∂²y/∂y∂x for the function u = x/y² - y/x²  

Tangents to curve y = x³ at x = -1 and x = 1 are

If y = cos x, x = π/6, dx = 0.05 then find the value of dy ?

The displacement  s  of a particle at time 't' is given by s = a cos ωt + b sin ωt.Acceleration at time 't' is.

The coordinates of the point of the  curve  y = x² + 3x + 4  the tangent at which passes through the origin are:

Two towns A and B  are  60 km a part  A school is to be built to serve  150 students.If the total distance to  be traveled by all 200 students is to be  as small as possible, then the school should be built at

The point on the curve  y² = x, whose the tangent makes an angle of 45^o with  x  - axis will be given by

On the intervals  [0, 1 ] the function  x²⁵  ( 1 - x ) ⁷⁵ takes its maximum value at the point:

The equation of the normal of the curve  y = x (2 - x )  at the point ( 2, 0 ) is