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Let AB be the chord $4 x - 3 y + 5 = 0$ of the circle $x^{2} + y^{2} - 2 x + 4 y - 20 = 0$ . If C = (7,1) then the area of triangle ABC is

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15 sq.unit

20 sq.unit

24 sq.unit

45 sq.unit

answer is C.

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Detailed Solution

$h ⊥$ distance from C to this line
$= \frac{30}{5} = 6$
Question Image
$A B = 2 \sqrt{r^{2} - d^{2}}$
Area = $\frac{1}{2} (A B) \times h$

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