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Q.

The straight lines represented by the equation 135x2−136xy+33y2=0 are equally inclined to the line

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a

x−2y=7

b

x+2y=7

c

x−2y=4

d

3x+2y=4

answer is B.

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Detailed Solution

The given pair of lines is 135x2−136xy+33y2=0________(1)The equation of bisectors of angles between the pair of lines (1) isx2−y2a−b=xyh or x2−y2135−33=xy−68or 2x2+3xy−2y2=0 or (x+2)(2x−y)=0one of the bisectors is x+2y=0 which is parallel to the linex+2y=7Hence, the line x+2y=7is equally inclined to the given lines.
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The straight lines represented by the equation 135x2−136xy+33y2=0 are equally inclined to the line