Home
Class 12
MATHS
Two perpendicular tangents to the circle...

Two perpendicular tangents to the circle `x^2 + y^2= a^2` meet at P. Then the locus of P has the equation

A

`x^(2)+y^(2)=2a^(2)`

B

`x^(2)+y^(2)=3a^(2)`

C

`x^(2)+y^(2)=4a^(2)`

D

`x^(2)+y^(2)=5a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 6|16 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 7|18 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 4|17 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

What is the locus of the equations x^2+y^2+z^2=0 ?

The angle between a pair of tangents from a point P to the circle x^2 + y^2 = 25 is pi/3 . Find the equation of the locus of the point P.

A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,1) . A straight line L is perpendicular to PT is a tangent to the circle (x-3)^2 + y^2 = 1 Common tangent of two circle is: (A) x=4 (B) y=2 (C) x+(sqrt3)y=4 (D) x+2(sqrt2)y=6

Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the axis at P_(1)andP_(2) . If S is the focal of the parabola, Then (1)/(SP_(1))+(1)/(SP_(2)) is equal to

Let RS be the diameter of the circle x^2+y^2=1, where S is the point (1,0) Let P be a variable point (other than R and S ) on the circle and tangents to the circle at S and P meet at the point Q.The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. then the locus of E passes through the point(s)-

A normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 meets the axes at Ma n dN and lines M P and N P are drawn perpendicular to the axes meeting at Pdot Prove that the locus of P is the hyperbola a^2x^2-b^2y^2=(a^2+b^2)^2 dot

Let AB be a chord of the circle x^2+ y^2 = r^2 subtending a right angle at the centre. Then the locus of the centroid of the triangle PAB as P moves on the circle is :

If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is 120^0 and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be x^2+y^2=6 (b) x^2+y^2=9 x^2+y^2=3 (d) x^2+y^2=18

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

If a circle passes through the point (a, b) and cuts the circle x^2+ y^2 = p^2 orthogonally, then the equation of the locus of its centre is :