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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Paragraph: Read the following write up carefully and answer the following questions: A circle C whose radius is 1 unit, touches the x -axis at point A . The centre Q of C lies in first quadrant. The tangent from origin O to the circle touches it at T and a point P lies on it such that O A P is a right angled triangle at A and its perimeter is 8 units Question: Equation of circle C is

Options

  1. Ax-(2+ 3 ) ^2+(y-1)^2=1
  2. Bx-( 3 + 2 ) ^2+(y-1)^2=1
  3. C(x- 3 )^2+(y-2)^2=1
  4. Dnone of these

Correct answer

D. none of these

Step-by-step solution

From above, O A=2 and A Q=1 coordinate of Q (2,1) equation is (x-2)^2+(y-1)^2=1

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