JEE Main 2014 · 12 Apr · Shift 1 · Mathematics Q78

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MathematicsSingle correct+4 / -1Question 78 of 90

If a line intercepted between the coordinate axes is trisected at a point A(4, 3), which is nearer to $x$ -axis, then its equation is :

4x-3y=7

3x+2y=18

3x+8y=36

x+3y=13

Answer and worked solution

Official answer: B

Intercepts $(a,0)$ and $(0,b)$ . The trisection point nearer the $x$ -axis is $\left(\frac{2a}3,\frac b3\right)=(4,3)$ , so $a=6$ , $b=9$ :
$\frac x6+\frac y9=1\iff3x+2y=18.$

Topics:Equations of a line Distance and section formulae

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JEE Main 2014 · 12 Apr · Shift 1, Mathematics question 78