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Circle question

2020 · Shift 2 · Q21
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Circle question

2020 · Shift 2 · Q21

JEE AdvancedMathematicsCircleNumerical+3 / −1
Let O be the centre of the circle x2 + y2 = r2, where r>52r \gt {{\sqrt 5 } \over 2}r>25​​. Suppose PQ is a chord of this circle and the equation of the line passing through P and Q is 2x + 4y = 5. If the centre of the circumcircle of the triangle OPQ lies on the line x + 2y = 4, then the value of r is .............
Numerical answer
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