Q.

The area of the triangle, in square units, formed by the tangents from the point (4, 3) to the circle x2 + y2 = 9 and the line joining their points of contact, is

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a

25192

b

19225

c

38425

d

none of these

answer is B.

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Detailed Solution

We know that the area ∆ of the triangle formed by the tangent drawn from (x1, y1) to the circle x2+y2=a2 and their chord of contact is given by     Δ=ax12+y12−a23/2x12+y12Here, the point is P(4, 3)  and the circle is x2+y2=9. ∴   Required area =342+32−93/242+32 sq. units =19225 sq. units.
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The area of the triangle, in square units, formed by the tangents from the point (4, 3) to the circle x2 + y2 = 9 and the line joining their points of contact, is