AP EAMCET202123 Aug 2021Evening ShiftMathematicsCircleActual

Suppose a circle passes through (2,2) and (9,9) and touches the X -axis at P . If O is the origin, then O P is equal to

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Correct answer

C. 6

Step-by-step solution

Since, the circle passes through A(2,2) and B(9,9) and it touches on X -axis at P . O P^2=O A O B ...(i) aligned & O A= 2^2+2^2 =2 2 & O B= 9^2+9^2 =9 2 aligned array ll & O P^2=2 2 9 2 =36 & O P=6 array

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