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  1. If (5x2 – 3y2) : xy = 11 : 2, then the positive value of
    x
    is :
    y
    1. 7
      2
    2. 5
      2
    3. 3
      2
    4. 5
      3
Correct Option: C

Given that :-
5x2 - 3y2
=
11
2y2

10x2 – 6y2 = 11xy
10x2 – 11xy – 6y2 = 0
10x2 – 15xy + 4xy – 6y2 = 0
5x (2x – 3y) + 2y (2x – 3y) = 0
(5x + 2y) (2x – 3y)
5x ≠ 2y, 2x = 3y
x
=
3
y2



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