The circle and hyperbola intersect at the points A and B

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

Problem

The circle x2+y2−8x=0x^2 + y^2 - 8x = 0 and hyperbola x29−y24=1\frac{x^2}{9} - \frac{y^2}{4} = 1 intersect at the points A and B. Equation of a common tangent with positive slope to the circle as well as to the hyperbola is (1) 2x−5y−20=02x - \sqrt{5}y - 20 = 0 (2) 2x−5y+4=02x - \sqrt{5}y + 4 = 0 (3) 3x−4y+8=03x - 4y + 8 = 0 (4) 4x−3y+4=04x - 3y + 4 = 0

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