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Straight Lines and Pair of Straight Lines question

2016 · 9 Apr · Shift 1 · Q40
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  5. /2016 · 9 Apr · Shift 1 · Q40

Straight Lines and Pair of Straight Lines question

2016 · 9 Apr · Shift 1 · Q40

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
If a variable line drawn through the intersection of the lines x3+y4=1{x \over 3} + {y \over 4} = 13x​+4y​=1 and x4+y3=1,{x \over 4} + {y \over 3} = 1,4x​+3y​=1, meets the coordinate axes at A and B, (A eee B), then the locus of the midpoint of AB is :
  1. A
    6xy = 7(x + y)
  2. B
    4(x + y)2 − 28(x + y) + 49 = 0
  3. C
    7xy = 6(x + y)
  4. D
    14(x + y)2 − 97(x + y) + 168 = 0
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