MHT CET2009MathematicsPair of Lines
If the equation given by h x y+10 x+6 y+4=0 represents a pair of lines, then h is equal to
Options
- A15
- B30
- C5
- D10
Correct answer
A. 15
Step-by-step solution
Here, a=0, b=0, h= h 2 , g=5, f=3 and c=4 It represent a pair of lines | array ccc 0 & h / 2 & 5 h / 2 & 0 & 3 5 & 3 & 4 array |=0 0- h 2 [4 h 2 -15 ]+5 [ 3 h 2 -0 ]=0 -h²+ h 15 2 + 15 h 2 =0 aligned & & &-h²+15 h &=0 & & h(-h+15) &=0 & & h &=0,15 aligned