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NTA Abhyas JEE Main2020MathematicsCirclePractice

Line L 1 ≡ 3 x - 4 y + 1 = 0 touches the circles C 1 and C 2 . Centres of C 1 and C 2 are A 1 1,2 and A 2 3,1 respectively, then identify the INCORRECT statement from the following statements.

Options

  1. AL 1 is direct common tangent of these circles
  2. BL 1 is transverse common tangent to these circles
  3. CRadius of circle C 1 is 4 5 units
  4. DRadius of circle C 2 is 6 5 units

Correct answer

A. L 1 is direct common tangent of these circles

Step-by-step solution

As A 1 & A 2 lie on different sides of L 1 hence, L 1 is transverse common tangent Radius of C 1 = 3 - 8 + 1 5 = 4 5 Radius of C 2 = 9 - 4 + 1 5 = 6 5

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