Home
Class 12
MATHS
A tangent to the parabola y^(2)=16x make...

A tangent to the parabola `y^(2)=16x` makes an angle of `60^(@)` with the x-axis. Find its point of contact.

Text Solution

Verified by Experts

The correct Answer is:
`3x-sqrt(3y) +4=0, ((4)/(3), (8)/(sqrt(3)))`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the tangent to the parabola y ^(2) = 12 x which makes an anlge of 60^(@) with the x-axis.

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

Two tangents to the parabola y^2=4ax make supplementary angles with the x-axis. Then the locus of their point of intersection is

Find the equation of tangents to the hyperbola x^(2)-2y^(2)=8 that make an angle of 45^(@) with the positive direction of x -axis .

Find the tangent to the y ^(2) = 16x, making of 45 ^(@) with the x-axis.

If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

The equation of the tangent to the ellipse x^2+16y^2=16 making an angle of 60^(@) with x-axis is

Point on the parabola y^(2)=8x the tangent at which makes an angle (pi)/(4) with axis is

The equation of a tangent to the parabola, x^(2) = 8y , which makes an angle theta with the positive direction of x-axis, is: