The condition that the circle lies entirely within the circle is

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

Problem

The condition that the circle (x−3)2+(y−4)2=r2(x-3)^2 + (y-4)^2 = r^2 lies entirely within the circle x2+y2=R2x^2 + y^2 = R^2 is (1) R+r≤7R + r \le 7 (2) R2+r2<49R^2 + r^2 < 49 (3) R2−r2<25R^2 - r^2 < 25 (4) R−r>5R - r > 5

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