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Question 13 : The equation of the straight line passing through the point M (-5,1), such that the portion of it between the axes is divided by the point M in to two equal halves, is

1. 10y - 8x = 80
2. 8y + 10x = 80
3. 10y + 8x = 80
4. 8y + 10x + 80 = 0

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Video Explanation

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Explanatory Answer

The point P divides AB into 2 halves.
AP = PB
A is on the x axis, Hence Point A (h,0)
B is on the Y axis, Hence Point B (0,k)


We need to use midpoint formula.
[\\frac{(h + 0)}{2}) , \\frac{(k + 0)}{2})] = (-5 , 4)
\\frac{h}{2}) = - 5
h = -10
\\frac{k}{2} = 4
k = 8


Hence the Y intercept is 8 and X intercept is - 10.
\\frac{x}{-10}) + \\frac{y}{8}) = 1
-8x + 10y = 80
The equation is -8x + 10y = 80

The question is " The equation of the straight line passing through the point M (-5,1), such that the portion of it between the axes is divided by the point M in to two equal halves, is "

Hence, the answer is 10y - 8x = 80

Choice A is the correct answer.

 

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