Circle 5 Question 14

14. Let x2+y24x2y11=0 be a circle. A pair of tangents from the point (4,5) with a pair of radii form a quadrilateral of area… .

(1985,2M)

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Answer:

Correct Answer: 14. 8 sq units

Solution:

  1. Here, length of tangent AB

=42+524(4)2(5)11=2

Area of quadrilateral ABOC=2 area of ABO

=212(AB)(OB)=24=8squnits



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