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Let two circles S1=0 and S2=0 intersect ...

Let two circles `S_1=0` and `S_2=0` intersect at point A and B . `L_1=0` is the line joining A and B where `S_1=x^2+y^2+2ax+2by-5=0` and `S_2=x^2+y^2+2x+4y-4=0` Let AB subtend and angle `theta` at (0,0) and angle subtended by `S_1=0` and `S_2=0` at P(3,4) is `alpha` and `beta` respectively.
If AB passes through (1,1) and parallel to a line which touches `S_2=0` at (2,-2) ,then a+4b is equal to

A

4

B

6

C

8

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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