JEE Main 2017MathematicsCircleMediumMCQ

JEE Main 2017 — Circle Question with Solution

JEE Main 2017 (09 Apr Online)

Question

A line drawn through the point P4,7 cuts the circle x2+y2=9 at the points A and B. Then PA·PB is equal to.

Choose an option

Show full solutionCorrect option: C
Correct answer
C56

Step-by-step explanation

      

As we know,

 PA.PB=PT2=S12S1=16+49−9=56⇒S12=56⇒PA.PB=56

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About this question

This is a previous-year question from JEE Main 2017, 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.