The circle cuts the line joining the points and in two points and

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The circle x2+y2=4x^2 + y^2 = 4 cuts the line joining the points A(1,0)A(1, 0) and B(3,4)B(3, 4) in two points PP and QQ . Let BPPA=α\frac{BP}{PA} = \alpha and BQQA=β\frac{BQ}{QA} = \beta , then α\alpha and β\beta are roots of the quadratic equation (1) x2+2x+7=0x^2 + 2x + 7 = 0 (2) 3x2+2x−21=03x^2 + 2x - 21 = 0 (3) 2x2+3x−27=02x^2 + 3x - 27 = 0 (4) None of these

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