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The 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 intersect L₃ at R . This question has Statement -1 and Statement -2 . Of the four choices given after the statements, choose the one that best describes the two statements. Statement-1 : The ratio P R: R Q equals 2 2 : 5 . Statement-2 : In any triangle, bisector of an angle divid

Options

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

Correct answer

B. Statement -1 is true, Statement- 2 is false.

Step-by-step solution

P(-2,-2) ; Q=(1,-2) Equation of angular bisector OR is ( 5 +2 2 ) x =( 5 - 2 ) y P R: R Q=2 2 : 5

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