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If px2−y2+3x+11y+q=0 represents a pair of perpendicular lines then (p,q)=

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a

-1,-14

b

-1,28

c

1,-28

d

-1,-28

answer is C.

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Detailed Solution

a=p,2h=0,b=−1,2g=3,1f=11,c=qa+b=0⇒p=1abc+2fgh−af2−bg2−ch2=0⇒q=−28

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