JEE Main 2014MathematicsCircleNumber Of Common Tangents And Position Of Two CirclemediumMCQ

JEE Main 2014 — Circle Question with Solution

From: JEE Main 2014 (Offline)

Question

Let be the circle with centre at and radius . If is the circle centred at , passing through origin and touching the circle externally, then the radius of is equal to :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

JEE Main 2014 (Offline) Mathematics - Circle Question 147 English Explanation

Equation of circle

Radius of

touches externally

therefore,

Distance between the centers sum of their radii









If then

then (not possible)

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About this question

This is a previous-year question from JEE Main 2014, covering the Circle chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.