Let C1 and C2 be the centres of the circles

Question:

let $C_{1}$ and $C_{2}$ be the centres of the circles $x^{2}+y^{2}-2 x-2 y-2=0$ and $x^{2}+y^{2}-6 x-6 y+14=0$ respectively. If $P$ and $Q$ are the points of intersection of these circles, then the area (in sq. units) of the quadrilateral $\mathrm{PC}_{1} \mathrm{QC}_{2}$ is :

  1. 8

  2. 6

  3. 9

  4. 4


Correct Option: , 4

Solution:

Area $=2 \times \frac{1}{2} \cdot 4=2$

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