A) \[{{a}^{2}}y-{{b}^{2}}x=ab\ (a-b)\]
B) \[{{a}^{2}}y+{{b}^{2}}y=ab\ (a+b)\]
C) \[{{a}^{2}}y+{{b}^{2}}x=ab\]
D) \[{{a}^{2}}x+{{b}^{2}}y=ab\ (a-b)\]
Correct Answer: A
Solution :
The given lines intersect at \[\left( \frac{ab}{a+b},\frac{ab}{a+b} \right)\] and join of this with (a, b) will have slope \[\frac{{{b}^{2}}}{{{a}^{2}}}\]. Now proceed.
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