Pair Of Straight Lines Question 38
Question: The point of intersection of the lines represented by equation $ 2{{(x+2)}^{2}}+3(x+2)(y-2)-2{{(y-2)}^{2}}=0 $ is
Options:
A) (2, 2)
B) (-2, -2)
C) (- 2, 2)
D) (2, -2)
Show Answer
Answer:
Correct Answer: C
Solution:
Putting $ X=x+2,\ \ Y=y-2 $
Equation becomes $ 2X^{2}+3XY-2Y^{2}=0 $ Which cuts at $ X=0,\ Y=0 $
So, $ x+2=0,\ y-2=0 $
Point of intersection $ (-2,2) $ .
Trick: Only (-2, 2) is satisfying the given equation.
BETA
