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AP EAMCET202021 Sep 2020Morning ShiftMathematicsCircleActual

If (y= 3 x+k₁ ) and (y= 3 x+k₂ ) are two parallel tangents of a circle of radius 2 units, then ( |k₁-k₂ | ) is equal to

Options

  1. A1
  2. B8
  3. C4
  4. D2

Correct answer

B. 8

Step-by-step solution

The distance between parallel tangents to a circle is equals to the diameter of the circle, so ( aligned & |k₁-k₂ | 1+3 =4 & |k₁-k₂ |=8 aligned ) Hence, option (b) is correct.

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