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If the normals of the parabola y2 = 4x drawn at the end points of its latus rectum are tangents to the circle (x – 3)2 + (y + 2)2 = r2, then the value of r2 is … (a) 2 (b) 3 (c) 1 (d) 4 |
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Answer» (a) 2 The normals are x ± y = 3 Distance from (3, -2) on both normal is r (i.e.,) r = |(3 - 2 - 3/√2)| = √2 r2 = 2 |
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