Home
Class 12
MATHS
Find the point on the curve y^2 = 4x whi...

Find the point on the curve `y^2 = 4x` which is nearest to the point `(2; -8)`

Text Solution

Verified by Experts

`B(x_o,y_o)`
normal at B passes through A
`(y-y_o)=-1/(dy/dx)*(x-x_o)`
`(y-y_o)=-y_o/2(x-x_o)` `1-y_o=-y_o +(x_oy_o)/2`
`x_oy_o=2`
`y_o^2=4x_o`
`x_oy_o*y_o^2=2*4x_o`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the point on the curve y^(2)=4x which is nearest to the point (2,1) .

Find the point on the curve y^(2)=4x which is nearest to the point (2,1) .

Find the point on the curve x^(2)=8y which is nearest to the point (2,4).

Find the point on the curve x^(2)=8y which is nearest to the point (2,4).

Find the point on the curve y^(2)=2x , which is nearest to the point (1, -4) .

Find the point on the parabola x^(2)=8y , which is nearest to the point (2, 4).

Determine the points on the curve x^(2)=4y which are nearest to the point (0,5).

Determine the points on the curve x^(2)=4y which are nearest to the point (0,5).

Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0 .

Consider the function represented parametrically as x=a t^2,\ y=2a t Find the point M on the above curve which is nearest to the point (11 a ,\ 0)dot