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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Given a circle (x+4)^2+(y-2)^2=25 . Another circle is drawn passing through (-4,2) and touching the given circle internally at the point A (-4,7), AB is a chord of length 8 units of the larger circle intersecting the other circle at the point C. Then AC will be _______

Correct answer

4

Step-by-step solution

Let O be (-4,2) OC is perpendicular to AC as OA is diameter C bisects chord A B As O is centre of bigger circle A C=4 units

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