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Question

If pair of lines y2+2hxy9x2=0 and another pair of lines given by ay2+10xy+x2=0 have exactly one line common and other lines represented by them are perpendicular then

A
a = 9; h = -4
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B
a + h = 6
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C
angle between the lines represented by first pair is π4
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D
all of these
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Solution

The correct option is A a = 9; h = -4
Let m1 and m2 be the slope of lines of first pair

m1 and m2 be the slope of lines of second pair

Compairing pair of lines (y-m1x ) (y-m2x ) with y2+2hxy9x2=0

and pair of lines (y-m1x ) y+1m2x with ay2+10xy+x2=0

we get m1=1andm2=9a=9andh=4

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