Q. 44.7( 3 Votes )
The equation of the straight line which passes through the point (-4, 3) such that the portion of the line between the axes is divided internally by the point in the ratio 5 : 3 is
A. 9x – 20y + 96 = 0
B. 9x + 20y = 24
C. 20x + 9y + 53 = 0
D. none of these
Answer :
Let the required line intersects the coordinate axis at (a, 0) and (0, b).
The point (− 4, 3) divides the required line in the ratio 5 : 3
∴ -4
and
⇒ a
and b
Hence, the equation of the required line is given below:
⇒ 
⇒ -9x + 20y = 96
⇒ 9x – 20y + 96 = 0
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The equation of the straight line which passes through the point (-4, 3) such that the portion of the line between the axes is divided internally by the point in the ratio 5 : 3 is
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