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JEE Advanced2007MathematicsStraight LinesActual

Lines L₁: y-x=0 and L₂: 2 x+y=0 intersect the line L₃: y+2=0 at P and Q , respectively. The bisector of the acute angle between L₁ and L₂ intersects L₃ at R . Statement I The ratio P R: R Q equals 2 2 : 5 . Statement II In any triangle, bisector of an angle divides the triangle into two similar triangles.

Options

  1. AStatement I is true, Statement II is true; Statement II is a correct explanation for Statement I
  2. BStatement I is true, Statement II is true; Statement II is not a correct explanation for Statement I
  3. CStatement I is true, Statement II is false
  4. DStatement I is false, Statement II is true

Correct answer

B. Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I

Step-by-step solution

In O P Q Clearly, P R R Q = O P O Q = 2 2 5

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