JEE Main 2017 — Circle Question with Solution
From: JEE Main 2017 (Online) 9th April Morning Slot
Question
A line drawn through the point P(4, 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: B
Correct answer
B56
Step-by-step explanation
P(4, 7). Here, x = 4, y = 7
PA PB = PT2
Also; PT =
PT = =
PT2 = 56
PA PB = 56
PA PB = PT2
Also; PT =
PT = =
PT2 = 56
PA PB = 56
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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.