Question

The equation of the line which passes through the point
(3, 4) and the sum of its intercept on the axes is 14 is
(a) 4x – 3y = 24, x-y=7
(b) 4x + 3y=24, x+y=7
(C) 4x + 3y + 24 =0, x+y+7=0
(d) 4x – 3y + 24 = 0, x-y +7=0​

Answer 1

Answer:

The line passes through the point ( 3, 4) if the equation of the line is satisfied.

Substituting ( 3,4) in equation 2 that is 4x+ 3y+ 24=0 and x+y =7

4×3 + 3×4 =12 +12 =24

3+4=7

Both the equation are satisfied.

And the sum of intercept is also 7

Hence b is the correct answer.