Pair Of Straight Lines Question 26

Question: The point of intersection of the lines represented by the equation $ 2x^{2}+3y^{2}+7xy+8x+14y+8=0 $ is

Options:

A) (0, 2)

B) (1, 2)

C) (-2, 0)

D) (-2, 1)

Show Answer

Answer:

Correct Answer: C

Solution:

If the equation is general equation $ ax^{2}+2hxy+by^{2}+2gx+2fy+c=0 $ .

Then points of intersection are given by $ ( \frac{hf-bg}{ab-h^{2}},\frac{hg-af}{ab-h^{2}} ) $ Hence point is $ (-2,0) $ .