AP EAMCET202119 Aug 2021Morning ShiftMathematicsPair of LinesActual
The equation of the pair of straight lines perpendicular to the pair 2 x 2 + 3 x y + 2 y 2 + 10 x + 5 y = 0 and passing though the origin is______
Options
- A2 x 2 + 5 x y + 2 y 2 = 0
- B2 x 2 − 3 x y + 2 y 2 = 0
- C2 x 2 + 3 x y + y 2 = 0
- D2 x 2 − 5 x y + 2 y 2 = 0
Correct answer
B. 2 x 2 − 3 x y + 2 y 2 = 0
Step-by-step solution
Given equation of Pair of straight lines 2 x 2 + 3 x y + 2 y 2 + 10 x + 5 y = 0 It is in the form of a x 2 + 2 h x y + b y 2 + 2 g x + 2 f y + c = 0 Here a   = 2 ,   h   =   3 2 ,   b   =   2 . Equation perpendicular to given Pair of straight lines passing through origin is b x 2 - 2 h x y + a y 2 = 0 ⇒ 2 x 2 - 3 x y + 2 y 2 = 0 .