Straight Lines · JEE Main previous year questions

2015 3 questions

1. Q52015 · 4 Apr 2015 · Shift 1

   The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices $(0,0)$, $(0,41)$ and $(41,0)$ is :

   1. A.$820$
   2. B.$780$
   3. C.$901$
   4. D.$861$
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   Answer: B

2. Q62015 · 4 Apr 2015 · Shift 1

   Locus of the image of the point $(2,3)$ in the line $(2x-3y+4)+k(x-2y+3)=0$, $k\in R$, is a :

   1. A.circle of radius $\sqrt{2}$.
   2. B.circle of radius $\sqrt{3}$.
   3. C.straight line parallel to $x$-axis
   4. D.straight line parallel to $y$-axis
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   Answer: A

3. Q262015 · 4 Apr 2015 · Shift 1

   If the angles of elevation of the top of a tower from three collinear points $A,B$ and $C$, on a line leading to the foot of the tower, are $30^{\circ },45^{\circ }$ and $60^{\circ }$ respectively, then the ratio, $AB:BC$, is :

   1. A.$1:\sqrt{3}$
   2. B.$2:3$
   3. C.$\sqrt{3}:1$
   4. D.$\sqrt{3}:\sqrt{2}$
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   Answer: C