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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