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If $p x^{2} - y^{2} + 3 x + 11 y + q = 0$ represents a pair of perpendicular lines then (p,q)=

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detailed solution

Correct option is C

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

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If $p x^{2} - y^{2} + 3 x + 11 y + q = 0$ represents a pair of perpendicular lines then (p,q)=