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

The point on the curve ` x^(2) = 2y` which is nearest to the point (0, 5) is

Text Solution

Verified by Experts

If we see the options, option - `(B)` do not satisfy the equation of the curve.
So, it is not the answer.
Now, we will calculate the distance of rest of three options from `(0,5)`.
For Option - (A),
`d = sqrt((2sqrt2-0)^2+(4-5)^2) = 3`
For Option - (C),
`d = sqrt((0-0)^2+(0-5)^2) = 5`
For Option - (D),
...
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).

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

Find the point P on the curve y^(2)= 4ax which is nearest to the point (11a, 0)

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 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).

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

The points on the curve 2y=x^(2) which are closest to the point P(0, 5) are

Find the point on the parabolas x^2=2y which is closest to the point (0,\ 5) .