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 Answer - B
Required line is `(2x-3y+7)+k(7x+4y+2)=0`.
Given that this line passes through (2, 3)
`:. (2(2)-3(3)+7)+k(7(2)+4(3)+2)=0`
`implies 4-9+7+k(14+12+2)=0`
`implies 2+k(28)=0`
`implies 28 k=-2 implies k=(-1)/14`.
`:.` Reuired line
`implies (2x-3y+7)+((-1)/14)(7x+4y+2)=0`
`implies 28x-42y+98-7x-4y-2=0`
`implies 21x-46y+96=0`.