Home
Class 12
MATHS
The equation of a circle C1 is x^2+y^2...

The equation of a circle `C_1` is `x^2+y^2= 4`. The locus of the intersection of orthogonal tangents to the circle is the curve `C_2` and the locus of the intersection of perpendicular tangents to the curve `C_2` is the curve `C_3`, Then

A

`C_(3)` is a circle

B

the area enclosed by the curver `C_(3)` is `8pi`

C

`C_(2)andC_(3)` are circles with the same centre

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 is

The locus of the point of intersection of the perpendicular tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

Find slope of tangent to the curve x^2 +y^2 = a^2/2

The locus of the point of intersection of tangents to the circles x=a cos theta, y = a sin theta at points whose parametric angle differs by pi//4 is

The equation of the tangent to the curve 6y=7-x^(3) at (1,1) is

The equation of the common tangent to the curves y^2=8x and xy =-1 is :

The product of the slopes of two tangents drawn to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is 4 , Then the locus of the point of intersection of the tangent is

The locus of the point of intersection of two perpendicular tangents to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , lies on

The point of intersection of two perpendicular tangents to (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 lies on the circle