KCET2013MathematicsPair of Lines
The angle between the lines ² y²-2 x y ² + ( ² -1 ) x²=0 , is
Options
- A90^
- B2
- C2
Correct answer
A. 90^
Step-by-step solution
Given pair of straight line is ( ² -1 ) x²-2 ² x y+ ² y²=0 On comparing with the equation aligned &a x²+2 h x y+b y²=0, we get &a= ² -1=- ² &h=- ² and b= ² aligned Let be the angle between the lines, then aligned &= | 2 h²-a b a+b | &= | 2 ⁴ + ⁴ - ² + ² |= = 90^ &=90^ aligned