If the circle x2 + y+ 4x + 22y + l =0 bisects the circumference of circle
x+ y2 - 2x + 8y - m + 0 then l + m1
A) 60     B) 50      C) 46     D) 40

Dear Student,
Please find below the solution to the asked query:

If one circle bisects circumference of other circle, then common chordmust pass through centre of smaller circle whose centre is bisectedWe havex2+y2+4x+22y+l=0...ix2+y2-2x+8y-m=0...iiCentre of smaller circle ii is 1,-4Now equation of common chord is i-iix2+y2+4x+22y+l-x2-y2+2x-8y+m=06x+14y+l+m=0Centre must lie on it6×1+14×-4+l+m=06-56+l+m=0l+m=50 Optionb

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