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find the area of the quadrilateral formed by a pair of tangents from the point (4,5) to the circle `x^2 + y^2 -4x -2y-11 = 0` and pair of its radii.

Text Solution

Verified by Experts

Here, length of tangent AB
`=sqrt(4^(2)+5^(2)-4(4)-2(5)-11)=2`

`" Area of quadrilateral ABOC " = 2 " area of " DeltaABO`
`=2.(1)/(2)(AB)(OB)`
`=2*4=8` sq units
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