JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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Application +4 | -1

If the circles

{x^2} + {y^2} + 2a'x + 2b'y + c' = 0

and

2{x^2} + 2{y^2} + 2ax + 2by + c = 0

intersect orthogonally, then

View answer and explanation

Correct option: C

aa' + bb' = \frac{c}{2} + c'

Option C (

aa' + bb' = \frac{c}{2} + c'

) is correct because the condition for orthogonal intersection of two circles (

2(g_1g_2 + f_1f_2) = c_1 + c_2

) is applied after adjusting the second equation.

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