A straight line through the point A(3,4) is such that its intercept between the axes is bisected at A . Its equation is,

  • Option 1)

    x+y=7

  • Option 2)

    3x-4y+7=0

  • Option 3)

    4x+3y=24

  • Option 4)

    3x+4y=25

 

Answers (1)

As we learnt in

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.

 

 

\frac{a+0}{2}=3       \Rightarrow    a = 6

\frac{b+0}{2}=4       \Rightarrow b = 8

\frac{x}{6}+\frac{y}{8}=1

4x+3y=24


Option 1)

x+y=7

This is incorrect option

Option 2)

3x-4y+7=0

This is incorrect option

Option 3)

4x+3y=24

This is correct option

Option 4)

3x+4y=25

This is incorrect option

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