Home
Class 12
MATHS
The minimum distance of a point on the c...

The minimum distance of a point on the curve `y=x^(2)-4` from the origin is

A

`(sqrt(19))/(2)`

B

`sqrt((15)/(2))`

C

`(sqrt(15))/(2)`

D

`sqrt((19)/(2))`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the maximum distance of any point on the curve x^2+2y^2+2x y=1 from the origin.

Find the minimum distance of any point on the line 3x+4y-10=0 from the origin using polar coordinates.

If there are only two linear function f and g which map [1.2] on [4,6] and in a Delta ABC , c,=f(1)+g(1) and a is the maximum value of r^2, where r is the distance of a variable point on the curve x^2+y^2-xy=10 from the origin, then sinA:sinC is

What is the minimum height of any point on the curve y=x^2-4x+6 above the x-axis?

The point on the curve xy^(2)=1 that is nearest to the origin is-

The maximum distance from the origin of a point on the curve x= a sin t - b sin ((at)/(b)) , y= a cos t - b cos((at)/(b)) , both a, b gt 0 , is-

The perpendicular distance of the starght line 3x+4y+m=0 from the origin is 2 unit , find m.

The distance of the straight line a(x-a)+b(y-b)=0 from the origin is -

Find the points on the curve 5x^2-8x y+5y^2=4 whose distance from the origin is maximum or minimum.

If the curve C in the xy plane has the equation x^(2)+xy+y^(2)=1, then the fourth power of the gretest distance of a point on C from the origin is "_____."