The straight line 
cuts the 
-axis at 
and 
-axis at 
. A circle is drawn through and the origin. The sum of the perpendicular distances from
on to the tangent drawn at origin to the circle S is
times the radius of the circle 
Text Solution
Verified by ExpertsB
Given line 
intercepts the axes at 
and 
.
So, 
and
Let centre 
be (h, k).
According to question.
For 
……………… ..(i)
For :
For origin
…………… ..(iii)
For (i)
{using (iii) }
from (ii)
Put value of in equation (
.
Satisfy point 
Here centre 
Equation of tangent is 
Put 
Perpendicular distance from 
Perpendicular distance from 
Sum of distance from 
and 
So, option is correct.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems