Home
Class 11
MATHS
Find the tangent to the y ^(2) = 16x, ma...

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

Text Solution

Verified by Experts

The correct Answer is:
`y = x +4`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

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

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

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^@ with the x-axis.

Find the points on the curve x y+4=0 at which the tangents are inclined at an angle of 45^@ with the x-axis.

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^0 with the x-axis.

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 equations of the tanggents to the ellipse (x ^(2))/(2) + (y ^(2))/(7) =1 that make an angle of 45 ^(@) with the x-axis.

Find the points on the curve x y+4=0 at which the tangents are inclined at an angle of 45^0 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.