Question

The equation of the line passing through the point (2, 3) and the point of intersection of lines 2x − 3y + 7 = 0 and 7x + 4y + 2 = 0 is 

A. 21x + 46y − 180 = 0 

B. 21x − 46y + 96 = 0 

C. 46x + 21y − 155 = 0 

D. 46x − 21y − 29 = 0

Answer 1

Correct option B.

Explanation:

Equation of line passing through 

intersection of 2x – 3y + 7 = 0 and 7x + 4y + 2 = 0 is: 

(2x – 3y + 7)+ λ(7x + 4y + 2) = 0 →(1) 

This line passes through (2,3) 

∴ (4 – 9 + 7) + λ(14 + 12 + 2) = λ = - 1/14 

Putting in (1): 

21 x – 41y + 96 = 0