Home
Class 12
MATHS
Find the point on the parabolas x^2=2...

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

A

`(pm2sqrt2,4)`

B

`(pm2, 2)`

C

`(pm3,9//2)`

D

`(pmsqrt2,1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -4)|9 Videos

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -5)|9 Videos

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -2)|7 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Find the point on the parabola y^(2) = 2x which is closest to the point (1, 4)

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

The point on the parabola x^(2)=y which is nearest to (3,0) is

The point on the line 3x-2y=1 which is closest to the origin is

The points on the curve y=x^(2) which are closest to the point P(0, 1) are

Find the coordinates of a point on the parabola y=x^(2)+7x+2 which is closest to the straight line y=3x-3

Find the equation of the chord of the parabola y^(2)=12x which is bisected at the point (5, -7).

Find the equation of tangents of the parabola y^(2)=12x, which passes through the point (2, 5)

Find the points on the parabola y^(2)-2y-4x=0 whose focal length is 6.