The tangents are drawn from yhe points (4,5) to the circle x2+y2-4x-2y-11=0 the area of quadrilateral form by this tangentand - Maths - Conic Sections

Question

The tangents are drawn from yhe points (4,5) to the circle
x2+y2-4x-2y-11=0 the area of quadrilateral form by this tangentand
radii pls help me quickely

Anuradha Sharma · Accepted Answer

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The given point A is 4,5 and from the circle x2+y2-4x-2y-11=0C 2,1
and radius = g2+f2-c=4So distance from center to point A =
4-22+5-12=20So in right angle triangle ABC, AB=AC2-BC2=20-16=2So
area of triangle ABC=
12×Base×Height=12×2×4= 4 square unitNow
same area will be of right angle triangle ACD So area of
quadrilateral ABCD= 4+4=8 square unit

The tangents are drawn from yhe points (4,5) to the circle x2+y2-4x-2y-11=0.the area of quadrilateral form by this tangentand radii. pls help me quickely.