Question

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 = √(1 + 2y), y ≥ 0 (B) y = √(1 + 4x), x ≥ 0 (C) x = √(1 + 4y), y ≥ 0 (D) y = √(1 + 2x), x ≥ 0

Answer 1

Step-by-step explanation:

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 = √(1 + 2y), y ≥ 0 (B) y = √(1 + 4x), x ≥ 0 (C) x = √(1 + 4y), y ≥ 0 (D) y = √(1 + 2x), x ≥ 0✓✓

Answer 2

$\huge\bold{(D)}$

y= √(1+2x). x >0