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AP EAMCET202317 May 2023Morning ShiftMathematicsPair of LinesActual

The absolute value of the tangent of the difference of the angles made by the lines 4 x^2-24 x y+11 y^2=0 with the X -axis is

Options

  1. A4 11
  2. B24 11
  3. C4 3
  4. D11 24

Correct answer

C. 4 3

Step-by-step solution

4 x^2-24 x y+11 y^2=0 (2 x-y)(2 x-11 y)=0 Pair of equation of lines are 2 x-y=0 & 2 x-11 y=0 and their angles from x -axis is: aligned & ₁= ⁻¹ 2 & ₂= ⁻¹ 2 11 & Now, | ₁- ₂ | & = | ⁻¹ 2- ⁻¹ 2 11 |= | ⁻¹ 2- 2 11 1+ 4 11 | & = ( ⁻¹ 4 3 )= 4 3 aligned

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