Q. 33
If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is (3, 2), then the equation of the line will be
A. 2x + 3y = 12
B. 3x + 2y = 12
C. 4x – 3y = 6
D. 5x – 2y = 10
Answer :
Let the given line meets the axes at A (a, 0) and B (0, b)
Given that (3, 2) is the midpoint
⇒ a = 6
and 
⇒ b = 4
Intercept form of the line AB is
Putting the value of a and b in above equation, we get
⇒ 2x + 3y = 12
Hence, the correct option is (a)
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