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The equation to the pair of lines passing through origin and perpendicular to 5x2+7xy+y2=0

a
5x2−7xy+y2=0
b
x2+7xy+5y2=0
c
5x2+7xy−y2=0
d
x2−7xy+5y2=0

detailed solution

Correct option is D

The combined equation of pair of lines which are perpendicular to the pair of lines ax2+2hxy+by2=0 and passing through the origin is bx2−2hxy+ay2=0Therefore, the combined equation of pair of lines which are perpendicular to the pair of lines 5x2+7xy+y2=0 and passing through the origin is x2−7xy+5y2=0.

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