If a line intercepted between the coordinate axes is trisected at a point A(4, 3),

which is nearer to x-axis, then its equation is :

  • Option 1)

    4x -3y=7

  • Option 2)

    3x +2y=18

  • Option 3)

    3x + 8y = 36

  • Option 4)

    x +3y=13

 

Answers (1)

As we learned in 

Selection formula -

x= \frac{mx_{2}+nx_{1}}{m+n}

y= \frac{my_{2}+ny_{1}}{m+n}

- wherein

If P(x,y) divides the line joining A(x1,y1) and B(x2,y2) in ration m:n

 

and

 

Intercept form of a straight line -

\frac{x}{a}+\frac{y}{b}=1

 

- wherein

a and b are the x-intercept and y -intercept respectively.

 

By section formula:

\frac{2a}{3}=4\:and\: \frac{b}{3}=3

a=6 and b=9

We get, \frac{x}{6}+\frac{y}{9}=1

3x+2y=18 

 

 


Option 1)

4x -3y=7

This option is incorrect.

Option 2)

3x +2y=18

This option is correct.

Option 3)

3x + 8y = 36

This option is incorrect.

Option 4)

x +3y=13

This option is incorrect.

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