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  • I have a doubt, kindly clarify. - If a straight line passing through the point is such that its intercepted portion between the coord - Co-ordinate geometry - JEE Main

If a straight line passing through the point P(-3,4) is such that its intercepted portion between the coordinates axes is bisected at P, then its equation is : 

  • Option 1)

    4x+3y=0

     

  • Option 2)

     

    4x-3y+24=0

  • Option 3)

    x-y+7=0

  • Option 4)

    3x-4y+25=0

Answers (1)

best_answer

 

x-intercept -

The distance on the x-axis from the origin where the straight line cuts it.

- wherein

 

 

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.

 

 

So that line say intersect y-axis at (o,b ) and x-axis at (a,o).

since it is bisected at p (-3,4)

\Rightarrow a=2\times \left ( -3 \right )

=-6\\\\b=2\times 4\\\\=8\\\\Equation \: \: of\: \: line -\\\\\frac{x}{a} +\frac{y}{b}=1\\\\\frac{x}{-6}+\frac{y}{8}=1 \\\\\Rightarrow 4x-3y+24=0

 


Option 1)

4x+3y=0

 

Option 2)

 

4x-3y+24=0

Option 3)

x-y+7=0

Option 4)

3x-4y+25=0

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