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Coordinate Geometry
A straight line through the point $A(3,4)$ is such that its intercept between the axis is bisected at A. Its equation is
$\begin{array}{1 1}(A)\;x+y=7\\(B)\;3x-4y+7=0 \\(C)\;4x+3y=24 \\(D)\;3x+4y=25 \end{array}$
jeemain
math
class11
coordinate-geometry-straight-lines
slope-of-a-line
ch10
medium
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asked
Apr 8, 2014
by
meena.p
retagged
Sep 26, 2014
by
sharmaaparna1
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1 Answer
http://clay6.com/mpaimg/jee%20m%2013.JPG
A is the mid point of PQ
$\large\frac{a+0}{2}$$=3=> a=6$
$\large\frac{0+b}{2}$$=4=> b=8$
Equation of the line is $\large\frac{x}{6}+\frac{y}{8}=1$
$\large\frac{4x+3y}{24}$$=1$
$4x+3y=24$
Hence C is the correct answer.
answered
Apr 8, 2014
by
meena.p
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