Straight Lines · JEE Main previous year questions

2012 4 questions

1. Q72012 · 26 May 2012 · Shift 1

   Consider the straight lines $L_1:x-y=1$ $L_2:x+y=1$ $L_3:2x+2y=5$ $L_4:2x-2y=7$ The correct statement is

   1. A.$L_1\parallel L_4,L_2\parallel L_3,L_1\text{ intersect }{L}_4$.
   2. B.$L_1\perp L_2,L_1\parallel L_3,L_1\text{ intersect }{L}_2$.
   3. C.$L_1\perp L_2,L_2\parallel L_3,L_1\text{ intersect }{L}_4$.
   4. D.$L_1\perp L_2,L_1\perp L_3,L_2\text{ intersect }{L}_4$.
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   Answer: D

2. Q52012 · 12 May 2012 · Shift 1

   If the point $(1,a)$ lies between the straight lines $x+y=1$ and $2(x+y)=3$ then $a$ lies in interval

   1. A.$\left(\frac{3}{2},\infty \right)$
   2. B.$\left(1,\frac{3}{2}\right)$
   3. C.$(-\infty ,0)$
   4. D.$\left(0,\frac{1}{2}\right)$
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   Answer: D

3. Q62012 · 12 May 2012 · Shift 1

   If two vertices of a triangle are $(5,-1)$ and $(-2,3)$ and its orthocentre is at $(0,0)$, then the third vertex is

   1. A.$(4,-7)$
   2. B.$(-4,-7)$
   3. C.$(-4,7)$
   4. D.$(4,7)$
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   Answer: B

4. Q52012 · 7 May 2012 · Shift 1

   If the straight lines $x+3y=4,3x+y=4$ and $x+y=0$ form a triangle, then the triangle is

   1. A.scalene
   2. B.equilateral triangle
   3. C.isosceles
   4. D.right angled isosceles
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   Answer: C