Home

Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 minPYQ_2017

MathematicsMediumsingle choice

A line drawn through the point $P (4, 7)$ cuts the circle $x^{2} + y^{2} = 9$ at the points $A$ and $B$ . Then $P_{A} \cdot P_{B}$ is equal to.

Question diagram: A line drawn through the point P 4 , 7 cuts the circle x 2 +

Options:

Answer:

Solution:

As we know,

$\begin{array}{l} P A . P B = P T^{2} = S_{1}^{2} \\ S_{1} = \sqrt{16 + 49 - 9} = \sqrt{56} \\ \Rightarrow S_{1}^{2} = 56 \\ \Rightarrow P A . P B = 56 \end{array}$

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: PYQ_2017

Doubts & Discussion

Loading discussions...