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$T h e a n g l e b e t w e e n t h e p a i r o f l i n e s w h o s e c o m b i n e d e q u a t i o n i s 2 x^{2} + 5 x y + 3 y^{2} + 6 x + 7 y + 4 = 0 i s \cos^{- 1} (\frac{k}{\sqrt{26}}) t h e n k =$

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Correct option is D

Cosθ=a+ba-b2+4h2 =51+25 =526Therefore, k=5

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The angle between the pair of lines whose combined equation is 2x2+5xy+3y2+6x+7y+4=0 is cos-1k26 then k=

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$T h e a n g l e b e t w e e n t h e p a i r o f l i n e s w h o s e c o m b i n e d e q u a t i o n i s 2 x^{2} + 5 x y + 3 y^{2} + 6 x + 7 y + 4 = 0 i s \cos^{- 1} (\frac{k}{\sqrt{26}}) t h e n k =$