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KCET2013MathematicsCircle

A tangent is drawn to the circle 2 x²+2 y²-3 x+4 y=0 at point A and it meets the line x+y=3 at B(2,1) , then A B is equal to

Options

  1. A10
  2. B2
  3. C2 2
  4. D0

Correct answer

B. 2

Step-by-step solution

Equation of circle is, array r S 2 x²+2 y²-3 x+4 y=0 S x²+y²- 3 2 x+2 y=0 array Here, A B is the length of tangent to the circle from B i.e., aligned A B &= (2)²+(1)²- 3 2 (2)+2(1) &= 4+1-3+2 = 4 &=2 units aligned

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