A straight line x=y+2 touches the circle (x^2 + y^2) = r^2. The value of r is

Question

Trina · Answer

We have the equation of the circle as 4( x^2+y^2)=r^2 X^2+y^2=(r/2)^2 Now x=y+2 is a tangent to the circle.... Centre of the circle is (0,0) Tangent is always perpendicular to the radius... So r/2=|x-y-2|/√2 at x=0=y r/2=2/√2 r=4/√2=2√2

BALAJI SANKARAN · Answer

Equation of circle :4(x 2 +y 2 )=r 2 centre of the circle = (0, 0) equation of tangent :x=y+2 [y=x-2].....(i) slope of the tangent = 1 slope of radius = -1 using one-point form :(y-y 1 ) = m(x-x 1 ) :(y-0) = -1(x-0) : y = -x….…(ii) from (i) & (ii) (x, y) = (1,-1) which is a point on the circle using distance formula on (0,0) & (1,-1) we get the value of the radius = 2

Thank you for registering.

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

Enter Your Details

Registration done!

Guest

A straight line x=y+2 touches the circle (x^2 + y^2) = r^2. The value of r is

A straight line x=y+2 touches the circle (x^2 + y^2) = r^2. The value of r is

2 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

A straight line x=y+2 touches the circle (x^2 + y^2) = r^2. The value of r is

A straight line x=y+2 touches the circle (x^2 + y^2) = r^2. The value of r is

2 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