JEE Main 2020MathematicsCircleMediumMCQ

JEE Main 2020 — Circle Question with Solution

JEE Main 2020 (09 Jan Shift 1)

Question

A circle touches the y-axis at the point 0,4 and passes through the point 2,0 . Which of the following lines is not a tangent to this circle?

Choose an option

Show full solutionCorrect option: D
Correct answer
D4x+3y-8=0

Step-by-step explanation


Equation of family of circle
x-02+y-42+λx=0 ⇒passes2,0
4+16+2λ=0⇒λ=-10
x2+y2-10x-8y+16=0
Centre 5,4,R=25+16-16=5
Check the options.
Option (4)
4×5+3×4-85=245≠5

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About this question

This is a previous-year question from JEE Main 2020, 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.