The locus of the centres of the circles... | Circles

JEE MAIN 2019

10-04-2019 S2

Question

The locus of the centres of the circles, which touch the circle, $x^2+y^2=1$ externally, also touch the $y$-axis and lie in the first quadrant, is :

Select the correct option:

$y=\sqrt{1+2 x}, x \geq 0$

$x=\sqrt{1+4 y}, y \geq 0$

$x=\sqrt{1+2 y}, y \geq 0$

$y=\sqrt{1+4 x}, x \geq 0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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