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Q.

if S=0 is the equation of pair of asymptotes of the hyperbola 3x2+10xy+8y2+14x+22y+7=0  then the length of intercept 

made by the pair of lines S=0 on x-axis is

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a

23

b

43

c

1

d

13

answer is C.

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Detailed Solution

3x2+10xy+8y2+14x+22y+c=0 rep. Pair of lines ∴Δ=0⇒3575811711c=0⇒C=1 Put y=0⇒3x2+14x+15=0⇒ cuts x -axis at −93,−53

∴ length intercept =43

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