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Consider the lines L1 and L2 defined by L1 : x√2 + y - 1 = 0 and L2 : x√2 - y + 1 = 0.
For a fixed constant λ , let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is λ2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is √270
Let the perpendicular bisector of RS meet C at two distinct points R' and S'. Let D be the square of the distance between R' and S'
Q. The value of λ2 is _____.
    Correct answer is '9'. Can you explain this answer?
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    Consider the lines L1 and L2 defined by L1 : x√2 + y - 1 = 0 and...
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    Community Answer
    Consider the lines L1 and L2 defined by L1 : x√2 + y - 1 = 0 and...
    Locus C = 

    Distance between R and S =   (tanθ is slope of line)

    So, 
    λ2 = 9
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    Consider the lines L1 and L2 defined by L1 : x√2 + y - 1 = 0 and L2 : x√2 - y + 1 = 0.For a fixed constantλ , let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is λ2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is√270Let the perpendicular bisector of RS meet C at two distinct points R and S. Let D be the square of the distance between R and SQ. The value ofλ2 is _____.Correct answer is '9'. Can you explain this answer?
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    Consider the lines L1 and L2 defined by L1 : x√2 + y - 1 = 0 and L2 : x√2 - y + 1 = 0.For a fixed constantλ , let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is λ2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is√270Let the perpendicular bisector of RS meet C at two distinct points R and S. Let D be the square of the distance between R and SQ. The value ofλ2 is _____.Correct answer is '9'. 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 Consider the lines L1 and L2 defined by L1 : x√2 + y - 1 = 0 and L2 : x√2 - y + 1 = 0.For a fixed constantλ , let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is λ2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is√270Let the perpendicular bisector of RS meet C at two distinct points R and S. Let D be the square of the distance between R and SQ. The value ofλ2 is _____.Correct answer is '9'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the lines L1 and L2 defined by L1 : x√2 + y - 1 = 0 and L2 : x√2 - y + 1 = 0.For a fixed constantλ , let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P from L2 is λ2. The line y = 2x + 1 meets C at two points R and S, where the distance between R and S is√270Let the perpendicular bisector of RS meet C at two distinct points R and S. Let D be the square of the distance between R and SQ. The value ofλ2 is _____.Correct answer is '9'. Can you explain this answer?.
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