JEE Main 2019 — Circle Question with Solution
From: JEE Main 2019 (Online) 10th April Evening Slot
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 :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let the centre is (h, k) & radius is h (h, k > 0)
OP = h + 1

Locus is y2 = 2x + 1
OP = h + 1

Locus is y2 = 2x + 1
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