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Q.

If the lines 2x+y+5=0  and  2px+y+1=0 are the asymptotes of a hyperbola, the possible value of  p are

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a

R

b

R{1}

c

R{2}

d

R{3}

answer is B.

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Detailed Solution

(Where R  is set of real numbers)
Equation of hyperbola can be written as  (2x+y+5)(2px+y+1)=λ This equation represents a hyperbola if  h2>ab
(1+p)2>4p
 (1p)2>0
 pR{1}
 

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