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Consider the lines L1 and L2 defined by L: 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 D is _____.
    Correct answer is '77.14'. Can you explain this answer?
    Most Upvoted Answer
    Consider the lines L1and L2defined by L1: x√2 + y - 1 = 0 and L2...
    = 2y + 3 and L2: 2x - 4y = 6.

    To find the point of intersection of these two lines, we can solve the system of equations formed by L1 and L2.

    First, let's solve L1: x = 2y + 3.

    Next, let's substitute this value of x into L2: 2(2y + 3) - 4y = 6.

    Simplifying this equation, we get: 4y + 6 - 4y = 6.

    The y-terms cancel out, leaving us with 6 = 6.

    This equation is always true, which means that the lines L1 and L2 are coincident or overlapping. Therefore, they have infinitely many points of intersection.

    In other words, every point (x, y) that satisfies the equation x = 2y + 3 is a point of intersection for L1 and L2.
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    Community Answer
    Consider the lines L1and L2defined by L1: x√2 + y - 1 = 0 and L2...
    Equation of the perpendicular bisector: y = -1/2x + 1
    For the point of intersection,

     (taking +ve sign)
    Distance

    D = 9 x 60 / 7
    = 77.14
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    Consider the lines L1and L2defined 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 L1and the distance of P from L2is 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 of Dis _____.Correct answer is '77.14'. Can you explain this answer?
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    Consider the lines L1and L2defined 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 L1and the distance of P from L2is 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 of Dis _____.Correct answer is '77.14'. 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 L1and L2defined 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 L1and the distance of P from L2is 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 of Dis _____.Correct answer is '77.14'. 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 L1and L2defined 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 L1and the distance of P from L2is 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 of Dis _____.Correct answer is '77.14'. Can you explain this answer?.
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