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Questions  

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

a
25192
b
19225
c
38425
d
none of these

detailed solution

Correct option is B

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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