1.

The locus of the centres of the circles, which touch the circle, x2 + y2 = 1 externally, also touch the y-axis and lie in the first quadrant, is:

A. \(x = \sqrt {1 + 4y} ,\;y \ge 0\)
B. \(y = \sqrt {1 + 2x} ,\;x \ge 0\)
C. \(y = \sqrt {1 + 4x} ,\;x \ge 0\)
D. \(x = \sqrt {1 + 2y} ,\;y \ge 0\)
Answer» C. \(y = \sqrt {1 + 4x} ,\;x \ge 0\)


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