If the equation k x y+5 x+3 y+2=0 represents a pair of lines, then k=

Step-by-step solution

(C) Comparing given equation with Ax ²+2 Hxy + By ²+2 Gx +2 Fy + c =0 , we get aligned A &=0, B=0, C=2, F= 3 2 G= 5 2 , H= k 2 &=A B C+2 F G H-A F²-B G²-C H²=0 &=0+2 (3) 2 (5) 2 ( k 2 )-0-0-2 ( k 2 )²=0 &= 15 4 k- k² 2 =0 15 k-2 k²=0 k(2 k-15)=0 k=0, 15 2 aligned