QJEEM17Maf8c9: JEE Main 2017 Mathematics - Class 11 JEEM17Maf8c9 Solution: A line drawn through the point P(4, 7) cuts the circle x 2 + y…

Question

Verified Solution • 2025–26 Session moderate

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 :

Accepted Answer

P(4, 7). Here, x = 4, y = 7

∴

PA

\times

PB = PT²

Also; PT =

\sqrt{x^{2} + y^{2} - {(x - y)}^{2}}

\Rightarrow

PT =

\sqrt{16 + 49 - 9}

=

\sqrt{56}

\Rightarrow

PT² = 56

∴

PA

\times

PB = 56

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