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Question

Find the separate equations of pair of straight lines y2−9xy+10x2=0


A

y = 9x

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B

y = 6x

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C

y = 2x

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D

y = 3x

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Solution

The correct options are
B

y = 6x


D

y = 3x


Pair of straight lines y29xy+18x2=0

Divide y2 in both sides

18(xy)26(xy)3(xy)+1=0

[6(xy)1][3(xy)1]=0

6xy1=0or3xy1=0

y = 6x y = 3x

separate equations are

y = 6x and y = 3x


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