If the chord of contact of tangents from a point P(h,k) to the circle x 2 + y 2 = a 2 touches the circle x 2 + (y-a) 2 = a 2 , then locus of P is

Question

JOEL JOHNSON · Answer

Equation of chord of contact from p(h,k) to x 2 + y 2 = a 2 is xh + yk = a 2 this line touches (x) 2 + (y-a) 2 = a 2 substituting x= (a 2 -yk)/h from the first equation, we get a quadratic in y.The line touches the second circle in only one point, so discriminant should be equal to zero. We get, h 2 + 2a 2 k 2 + 2ak -a 2 = 0 , therefore the required locus is x 2 +2a 2 y 2 +2ay -a 2 =0

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

If the chord of contact of tangents from a point P(h,k) to the circle x 2 + y 2 = a 2 touches the circle x 2 + (y-a) 2 = a 2 , then locus of P is

If the chord of contact of tangents from a point P(h,k) to the circle x² + y² = a² touches the circle x² + (y-a)² = a² , then locus of P is

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

If the chord of contact of tangents from a point P(h,k) to the circle x 2 + y 2 = a 2 touches the circle x 2 + (y-a) 2 = a 2 , then locus of P is

If the chord of contact of tangents from a point P(h,k) to the circle x2 + y2 = a2 touches the circle x2 + (y-a)2 = a2 , then locus of P is

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

If the chord of contact of tangents from a point P(h,k) to the circle x² + y² = a² touches the circle x² + (y-a)² = a² , then locus of P is