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  • 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

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

Answers (1)

Let the given line meets the axes at A(a,0) and B(0,b)  

 Given that (3,2) is the midpoint    3=\frac{0+a}{2}   

  a=6  and2=\frac{0+b}{2}

  b=4 

 Intercept form of the line AB is \frac{x}{a}+\frac{y}{b}=1

  Putting the value of a and b in above equation, we get \frac{x}{6}+\frac{y}{4}=1  

\frac{2x+3y}{12}=1

 2x+3y=12   

Hence, the correct option is (a)

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infoexpert22

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