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Mathematics ECAT Pre Engineering Chapter 18 Analytic Geometry Online Test MCQs With Answers
Question # 1
The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
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Question # 2
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
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x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 3
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Question # 4
The line through the intersection of the lines x+ 2y+ 3= 0 : 3x +4y +7 =0 and making equal intercepts on the axes is
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x+ y+ 1= 0
x+ y- 2= 0
x+ y+ 2= 0
2x +y +2 =0
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Question # 5
The mid point of the line segment joining the points (a,b) and (b,a) is
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Question # 6
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Question # 7
The point R dividing internally the line joining the points P(x
1
, y
1
) and Q(x
2
, y
2
) in the ratio K
1
: K
2
has the coordinates
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Question # 8
The distance of the point (2.3) from x-axis is
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2
3
5
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Question # 9
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0
undefined
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Question # 10
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 11
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Parallel to the plane
At right angles to the plane
Lies in the plane
Meet the plane obliquely
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Question # 12
The inclination of a line parallel to x-axis is
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Question # 13
The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is
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y = x
y = x - 1
y = x + 1
y = x + 1
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Question # 14
If d
1
is the distance between (0,0) and (1,2) and d
2
is the distance between (0,0) and (2,1) then
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d
1
= d
2
d
1
<d
2
d
1>
d
2
none of these
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Question # 15
The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by
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2, -3, 4
6, -4, -3
6, -4, 3
3, -2, 1.5
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Question # 16
If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then
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h=2a
h=a+b
h=ab
h=ac
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Question # 17
The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on
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ZOX plane
XOY plane
YOZ plane
None of these
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Question # 18
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
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Question # 19
Area bounded between the curve xy=2 and the lines x=1 and x=2
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ln2 square units
ln√2 square units
ln4 square units
Square units
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