Home
Class 11
MATHS
A tangent is drawn to the parabola y^2=4...

A tangent is drawn to the parabola `y^2=4 x` at the point `P` whose abscissa lies in the interval (1, 4). The maximum possible area of the triangle formed by the tangent at `P ,` the ordinates of the point `P ,` and the x-axis is equal to (a)8 (b) 16 (c) 24 (d) 32

Promotional Banner

Similar Questions

Explore conceptually related problems

The triangle formed by the tangent to the parabola y^2=4x at the point whose abscissa lies in the interval [a^2,4a^2] , the ordinate and the X-axis, has greatest area equal to :

P is a point on the curve f(x)=x-x^(2) such that abscissae of P lies in the interval (0,1) .The maximum area of the triangle POA,where and A are the points (0,0) and (1,0) is

Tangents are drawn to the parabola y^2=4x at the point P which is the upper end of latusrectum . Area enclosed by the tangent line at, P,X axis and the parabola is

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x The area of the triangle for tangents and their chord of contact is

From the point (4, 6) a pair of tangent lines are drawn to the parabola, y^(2) = 8x . The area of the triangle formed by these pair of tangent lines & the chord of contact of the point (4, 6) is

Let p be a point on the parabola y^(2)=4ax then the abscissa of p ,the ordinates of p and the latus rectum are in