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question_answer1)
Area of the triangle formed by the graph of the straight lines \[x-y=0,\]\[x+y=2\]and the X-axis is [SSC CGL Tier II, 2014]
A)
1 sq unit done
clear
B)
2 sq units done
clear
C)
4 sq units done
clear
D)
None of these done
clear
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question_answer2)
The area of the region bounded by \[y=\left| x \right|-5\] with the coordinate axes is [SSC CGL Tier II, 2012]
A)
25 sq units done
clear
B)
52 sq units done
clear
C)
50 sq units done
clear
D)
20 sq units done
clear
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question_answer3)
The vertices of a triangle are\[A\,(4,4),\]\[B\,(3,-2)\]and\[C\,(-\,3,16).\]The area of the triangle is
A)
36 sq units done
clear
B)
37 sq units done
clear
C)
38 sq units done
clear
D)
None of these done
clear
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question_answer4)
The vertices of a triangle are\[A\,(3,8),\]\[B\,(-\,4,2)\]and \[C\,(5,-1).\]The area of \[\Delta ABC\]is
A)
\[28\frac{1}{2}\]sq units done
clear
B)
\[37\frac{1}{2}\]sq units done
clear
C)
57 sq units done
clear
D)
75 sq units done
clear
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question_answer5)
The distance between the points \[A\,(2,-\,3)\]and \[B\,(2,2)\]is
A)
2 units done
clear
B)
3 units done
clear
C)
4 units done
clear
D)
5 units done
clear
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question_answer6)
The equation of a line passing through the points \[A\,(-1,1)\]and \[B\,(2,-\,4)\]is
A)
\[3x+5y+2=0\] done
clear
B)
\[5x+3y+2=0\] done
clear
C)
\[2x+3y+5=0\] done
clear
D)
None of the above done
clear
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question_answer7)
Which of the following points does not lie on the line\[y=3x+4\]?
A)
\[(1,7)\] done
clear
B)
\[(2,10)\] done
clear
C)
\[(-\,1,1)\] done
clear
D)
\[(4,12)\] done
clear
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question_answer8)
If the points\[(1,1),\,(-1,-1),\]\[(-\,\sqrt{3},\sqrt{3})\]are the vertices of a triangle, then this triangle is
A)
right angled done
clear
B)
isosceles done
clear
C)
equilateral done
clear
D)
None of the above done
clear
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question_answer9)
If the points \[A\,(1,-1),\]\[B\,(5,2)\] and \[C\,(k,5)\]are collinear, then k is equal to
A)
2 done
clear
B)
4 done
clear
C)
6 done
clear
D)
9 done
clear
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question_answer10)
The equation of a line of unit slope and passing through the origin, is
A)
\[y=x\] done
clear
B)
\[x+y=0\] done
clear
C)
\[x=y+1\] done
clear
D)
\[x=\frac{1}{2}y+1\] done
clear
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question_answer11)
The ratio in which the line 3x + y = 9 divides the line made by joining the points (1, 3) and (2, 7), is
A)
3 : 4 external done
clear
B)
3 : 4 internal done
clear
C)
1 : 4 internal done
clear
D)
4 : 3 internal done
clear
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question_answer12)
The area of a triangle whose vertices are \[(2,-\,2),\]\[(-\,8,12)\]and \[(-\,6,-10),\]is
A)
18 sq units done
clear
B)
24 sq units done
clear
C)
48 sq units done
clear
D)
96 sq units done
clear
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question_answer13)
A point C divides the join of P (1, 3) and Q (2, 7) in the ratio 3 : 4. The coordinates of C are
A)
\[(-2,-9)\] done
clear
B)
\[\left( \frac{10}{7},\frac{33}{7} \right)\] done
clear
C)
\[\left( \frac{3}{2},5 \right)\] done
clear
D)
\[\left( \frac{5}{3},5 \right)\] done
clear
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question_answer14)
Area of the triangle formed by the graph of the line \[2x-3y+6=0\]along with the coordinate axes is
A)
1/2 sq unit done
clear
B)
2/3 sq unit done
clear
C)
3 sq units done
clear
D)
6 sq units done
clear
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question_answer15)
The slope of a line passing through the points A\[(3,-1)\] and B\[(3,2)\] is
A)
0 done
clear
B)
3 done
clear
C)
not defined done
clear
D)
None of these done
clear
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question_answer16)
The value of k for which the lines \[x+2y-9=0\]and \[k\text{ }x+4y+5=0\]are parallel, is
A)
\[k=2\] done
clear
B)
\[k=1\] done
clear
C)
\[k=-1\] done
clear
D)
\[k=-2\] done
clear
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question_answer17)
The graph of \[x+2y=3\]and \[3x-2y=1\]meet the Y-axis at two points having distance
A)
\[\frac{8}{3}\] units done
clear
B)
\[\frac{4}{3}\]units done
clear
C)
1 unit done
clear
D)
2 units done
clear
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question_answer18)
The value of k for which the graph of \[(k-1)\,x+1y-2=0\]and \[(2-k)x-3y+1=0\] are parallel is
A)
\[\frac{1}{2}\] done
clear
B)
\[-\frac{1}{2}\] done
clear
C)
2 done
clear
D)
\[-\,2\] done
clear
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