JEE Main 2015MathematicsCircleEasyMCQ

JEE Main 2015 — Circle Question with Solution

JEE Main 2015 (04 Apr)

Question

The number of common tangents to the circles x 2 + y 2 - 4 x - 6 y - 1 2 = 0 and x2+y2+6x+18y+26=0, is

Choose an option

Show full solutionCorrect option: D
Correct answer
D3

Step-by-step explanation

Given  x 2 + y 2 - 4 x - 6 y - 1 2 = 0

C12, 3, r1=22+32+12=25=5

And x2+y2+6x+18y+26=0

C2-3,-9, r2=32+92-26

=90-26=8

Then, C1C2=52+122=13

C1C2=r1+r2

⇒Externally touching circles.

⇒3 common tangents.

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About this question

This is a previous-year question from JEE Main 2015, 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.