The equation of the line that touches th...

The equation of the line that touches the curves `y=x|x|` and `x^2+(y-2)^2=4` , where `x!=0,` is
(a)`y=4sqrt(5)x+20` (b) `y=4sqrt(3)x-12` (c)`y=0` (d) `y=-4sqrt(5)x-20`

A

`y=4sqrt5x+20`

B

`y=4sqrt3x-12`

C

`y=0`

D

`y=-4sqrt5x-20`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The equation of the circle having centre at (3, -4) and touching te line 5x + 12y - 12 = 0 is ……

Find the equation of the tangent to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y+5=0 .

Find the equation of the normals to the curve y=x^(3)+2x+6 which are parallel to the line x+14y+4=0 .

The radius of a circle, having minimum area, which touches the curve y=4-x^(2) and the lines y=|x|, is

Find k if line y = sqrt(3)x + k touches the circle x^(2) + y^(2) = 16.

The area of the region bounded by the curve x^2 = 4y and the straight line x=4y -2 is ……

The equation sqrt(x)=2y , represents that graph between x and y is a :-

Find the area bounded by the curve x^(2) = 4y and the line x = 4y - 2.

Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.