Home
Class 12
MATHS
The point on the curve x^2=2y which is n...

The point on the curve `x^2=2y` which is nearest to the point (0, 5) is(A) `(2sqrt(2),4)` (B) `(2sqrt(2),0)` (C) (0, 0) (D) (2, 2)

Text Solution

AI Generated Solution

To find the point on the curve \( x^2 = 2y \) that is nearest to the point \( (0, 5) \), we can follow these steps: ### Step 1: Define the point on the curve Let the point on the curve be \( (h, k) \). Since the point lies on the curve \( x^2 = 2y \), we have: \[ h^2 = 2k \] ...
Promotional Banner

Similar Questions

Explore conceptually related problems

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 .

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

Distance of point P on the curve y=x^(3//2) which is nearest to the point M (4, 0) from origin is

Point on the circle x^(2)+y^(2)-2x+4y-4=0 which is nearest to the line y=2x+11 is :

The point (0,3) is nearest to the curve x^(2)=2y at

The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4) (B) (1, 2sqrt(2)) (C) (4, -4 sqrt(2) (D) (2, 4)

Point on curve x^(2)-y^(2) +16 =0, nearest to (6,0) is