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Find the value of k?
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Verified answer
Question :
The equation represents a pair of staright lines,then k is :
Theory :
An equation of the form
is called genral equation of second degree in x and y .
•The necessary and sufficient condition to represent a pair of straight lines is:
Δ ==0
⇒
Solution ;
Given : Curve equation=
On camparing with Genral equation:
a=1 , b=1 ,h = k/2 , g =-5/2 ,f =-7/2 and c = 6
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Now it's is given that curve represents a pair of staright lines .
Therefore ; Δ = 0
⇒
Now put the values :
Correct option b)