Home
Class 12
MATHS
If two different tangents of y^2=4x are ...

If two different tangents of `y^2=4x` are the normals to `x^2=4b y ,` then

A

`|b|lt1/(2sqrt2)`

B

`|b|lt1/(sqrt2)`

C

`|b|gt1/(2sqrt2)`

D

`|b|gt1/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The common tangent to the parabola y^2=4ax and x^2=4ay is

Find the equations of the tangent and normal to the parabola y^2=4a x at the point (a t^2,2a t) .

Find the equations of the tangent and normal to the parabola y^(2)=4ax at the point (at^(2), 2at) .

If the normals of the parabola y^2=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^2 +(y+2)^2=r^2 , then the value of r^2 is

A common tangent is drawn to the circle x^2+y^2=a^2 and the parabola y^2=4bx . If the angle which his tangent makes with the axis of x is pi/4 , then the relationship between a and b (a,b gt 0)

If tangent and normal to the curve y=2sinx+sin2x are drawn at p(x=(pi)/(3)) , then area of the quadrilaterial formed by the tangent, the normal at p and the cordinate axes is

If two tangents drawn from a point P to the parabola y^2 = 4x are at right angles, then the locus of P is (1) 2x""+""1""=""0 (2) x""=""-1 (3) 2x""-""1""=""0 (4) x""=""1

if y=4x+3 is parallel to a tangent to the parabola y^2=12x , then its distance from the normal parallel to the given line is

Normals at two points (x_1,x_2) and (x_2,y_2) of the parabola y^2=4x meet again on the parabola, where x_1+x_2=4 , then |y_1+y_2| is equal to