Question
Question: If the polar of a point P with respect to the circle x2 + y2 = a2 touches the circle (x – a)2 + y2 =...
If the polar of a point P with respect to the circle x2 + y2 = a2 touches the circle (x – a)2 + y2 = a2, then P lies on.
A
y2 – 2ax = a2
B
y2 + 2ax = a2
C
x2 – 2ay = a2
D
x2 + 2ay = a2
Answer
y2 + 2ax = a2
Explanation
Solution
Polar of point P (h, k) is xh + yk =a2. Now perpendicular from (a, 0) to the polar is equal to radius a.