0

Guest

Courses New

the line Ax+By+C=0 will touch the circle x^2+y^2=lamda when???? answer is given as C^2=lamda(A^2+B^2)

 
the line Ax+By+C=0 will touch the circle x^2+y^2=lamda when????
answer is given as C^2=lamda(A^2+B^2)
 

Grade:11

1 Answers

Pradeep Tangirala
73 Points
6 years ago
Ax+By+C=0 touches the circle means...it is a tangent....Now, radius of circle is equal to (lamda)*1/2...and its centre is (0,0)...now distance from centre to line is equal to |C|÷(A*2+B*2)*1/2.....which is equal to radius, (lamda)*1/2...so....|C|÷(A*2+B*2)*1/2 =(lamda)*1/2...now 
Squaring on both sides...you will get the ans....

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

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

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

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

Click Here Know More

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

Click Here Know More