JEE Main 2016MathematicsCircleMediumMCQ

JEE Main 2016 — Circle Question with Solution

JEE Main 2016 (10 Apr Online)

Question

Equation of the tangent to the circle, at the point 1, -1, whose center, is the point of intersection of the straight lines x-y=1 and 2x+y=3 is:

Choose an option

Show full solutionCorrect option: A
Correct answer
Ax+4y+3=0

Step-by-step explanation

Point of intersection of lines

x-y=1 and 2x+y=3

O is  43,13

Slope of OP=13+143-1=4313=4

Slope of tangent =-14

⇒ Equation of tangent :y+1= -14x-1

⇒4y+4=-x+1

⇒x+4y+3=0

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About this question

This is a previous-year question from JEE Main 2016, 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.