Straight Lines · JEE Main previous year questions

2004 2 questions

1. Q152004 · 24 Apr 2004 · Shift 1

   Let $A(2,-3)$ and $B(-2,1)$ be vertices of a triangle $ABC$. If the centroid of this triangle moves on the line $2x+3y=1$, then the locus of the vertex $C$ is the line :

   1. A.$3x-2y=3$
   2. B.$2x-3y=7$
   3. C.$3x+2y=5$
   4. D.$2x+3y=9$
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   Answer: D

2. Q162004 · 24 Apr 2004 · Shift 1

   The equation of the straight line passing through the point $(4,3)$ and making intercepts on the co-ordinate axes whose sum is $-1$ is :

   1. A.$\frac{x}{2}-\frac{y}{3}=1$ and $\frac{x}{-2}+\frac{y}{1}=1$
   2. B.$\frac{x}{2}-\frac{y}{3}=-1$ and $\frac{x}{-2}+\frac{y}{1}=-1$
   3. C.$\frac{x}{2}+\frac{y}{3}=1$ and $\frac{x}{2}+\frac{y}{1}=1$
   4. D.$\frac{x}{2}+\frac{y}{3}=-1$ and $\frac{x}{-2}+\frac{y}{1}=-1$
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   Answer: A