If -chord of a circle be that chord which subtends an angle at the centre of the circle

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If α\alpha -chord of a circle be that chord which subtends an angle α\alpha at the centre of the circle. If x+y=1x + y = 1 is α\alpha -chord of x2+y2=1x^2 + y^2 = 1 , then α\alpha is equal to (1) π6\frac{\pi}{6} (2) π4\frac{\pi}{4} (3) π2\frac{\pi}{2} (4) 3π4\frac{3\pi}{4}

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