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Q.

If the lines represented by ax2+4xy+y2+8x+2fy+c=0 intersect on Y-axis, then (f, c) =

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a

(2,4)

b

(4,2)

c

(-2,-4)

d

(-4,-2)

answer is A.

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Detailed Solution

a=a,2h=4,b=1,2g=8,2f=2f,c=chf−bg=0⇒f=2f2=b⇒c=4
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If the lines represented by ax2+4xy+y2+8x+2fy+c=0 intersect on Y-axis, then (f, c) =