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99 Percentile Qs Bank for JEE MainMathematicsCircle

Consider the following statements. I. The intercept made by the circle x^2+y^2-2 x-4 y+1=0 on Y -axis is 2 3 II. The intercept made by the circle x^2+y^2-4 x-2 y+6=0 on X -axis is 2 2 III. The straight line y=2 x+1 cuts the circle x^2+y^2=9 at two distinct points Then which one of the following options is correct?

Options

  1. A(a)
  2. B(b)
  3. C(c)
  4. D(d)

Correct answer

C. (c)

Step-by-step solution

(I) x^2+y^2-2 x-4 y+1=0 intercept on Y -axis is 2 f^2-c 2 4-1 2 3 True (II) x^2+y^2-4 x-2 y-6=0 intercept on X -axis 2 4+6 2 10 2 2 False (III) Line y=2 x+1 at the circle x^2+y^2-9=0 So, r^2-p^2>0 r^2=9 p= 1 5 p^2= 1 5 9- 1 5 >0 is it is True.

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