Home
Class 12
MATHS
If y=4x+3 is parallel to a tangent to th...

If `y=4x+3` is parallel to a tangent to the parabola `y^(2)=12x`, then its distance from the normal parallel to the given ine is-

A

`(213)/(sqrt(17))`

B

`(219)/(sqrt(17))`

C

`(211)/(sqrt(17))`

D

`(210)/(sqrt(17))`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=4x+3 is parallel to a tangent to the parabola y^(2)=12 x, then its distance from the normal parallel to the given line is

If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distance from the parallel normal.

The equation of the tangent to the parabola y^(2) = 4x + 5 which is parallel to the line y= 2x + 7 is-

Find the where the tangents to the parabola y=x^(2) is paralle to the line y=4x-5

If tangents are drawn to y^2=4a x from any point P on the parabola y^2=a(x+b), then show that the normals drawn at their point for contact meet on a fixed line.

Using calculus find the cordinates of the point on the parabola y^(2)=12x at which the tangent are paralle to the line 2x+3y=5

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.

The slope of the normal to the parabola 3y^(2)+4y+2=x at a point it is 8. find the coordinates of the points.

Find the equation of the tangents to the parabola 3y^(2)=8x , parallel to the line x-3y=0 .

On the ellipse 4x^(2)+9y^(2)=1 , the points at which the tangents are parallel to the line 8x=9y are-