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The lines L1 : y – x = 0 and L2 : 2x + 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-1: The ratio PR : RQ equals
Statement-2: In any triangle, bisector of an angle divides the triangle into two similar triangles.     [2011]
  • a)
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • b)
    Statement-1 is true, Statement-2 is false.
  • c)
    Statement-1 is false, Statement-2 is true.
  • d)
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The lines L1 : y – x = 0 and L2 : 2x + y = 0 intersect the line ...
L1 : y – x = 0
L2 : 2x + y = 0
L3 : y + 2 = 0
On solving the equation of line L1 and L2 we get their point of intersection (0, 0) i.e., origin O.
On solving the equation of line L1 and L3, we get  P = (– 2, – 2).
Similarly, we get Q = (– 1, – 2) We know that bisector of an angle of a triangle, divide the opposite side the triangle in the ratio of the sides including the angle [Angle Bisector Theorem of a Triangle]
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The lines L1 : y – x = 0 and L2 : 2x + 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-1: The ratio PR : RQ equals Statement-2: In any triangle, bisector of an angle divides the triangle into two similar triangles. [2011]a)Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.b)Statement-1 is true, Statement-2 is false.c)Statement-1 is false, Statement-2 is true.d)Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.Correct answer is option 'B'. Can you explain this answer?
Question Description
The lines L1 : y – x = 0 and L2 : 2x + 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-1: The ratio PR : RQ equals Statement-2: In any triangle, bisector of an angle divides the triangle into two similar triangles. [2011]a)Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.b)Statement-1 is true, Statement-2 is false.c)Statement-1 is false, Statement-2 is true.d)Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The lines L1 : y – x = 0 and L2 : 2x + 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-1: The ratio PR : RQ equals Statement-2: In any triangle, bisector of an angle divides the triangle into two similar triangles. [2011]a)Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.b)Statement-1 is true, Statement-2 is false.c)Statement-1 is false, Statement-2 is true.d)Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The lines L1 : y – x = 0 and L2 : 2x + 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-1: The ratio PR : RQ equals Statement-2: In any triangle, bisector of an angle divides the triangle into two similar triangles. [2011]a)Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.b)Statement-1 is true, Statement-2 is false.c)Statement-1 is false, Statement-2 is true.d)Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.Correct answer is option 'B'. Can you explain this answer?.
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