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CBSE Questions for Class 11 Engineering Maths Introduction To Three Dimensional Geometry Quiz 12 - MCQExams.com
CBSE
Class 11 Engineering Maths
Introduction To Three Dimensional Geometry
Quiz 12
The points (-2,14),(-6,8),(0,4),(4,10) taken in order, form
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a parallelogram
0%
a rectangle
0%
a rhombus
0%
a square
Vertices of a parallelogram taken in order are
A
(
2
,
−
1
,
4
)
;
B
(
1
,
0
,
−
1
)
,
C
(
1
,
2
,
3
)
and D.
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√
6
0%
3
√
6
/
5
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2
√
2
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3
The points of trisection of the line segment joining (2, -3, 5), (3 , 1, -2) are
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(8/3,-1/3, 1/3), (7/3,-5/3,8/3)
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(7/3, 4, 13/3), (8/3, 3, 14/3)
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(-8/3, -1/3, 1/3), (7/3, -5/3, 8/3)
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(-7/3, 4, 13/3), (8/3, 3, 14/3)
If the distance between the points (5,-1,7) and (c,5,1) is 9 then c=
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8
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4
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-8
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-4
If R divides the line segment joining p(2,3,4) and Q(4,5,6) in the ratio -3 : 2 , then the value of the parameter which represents R is
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3
0%
2
0%
1
0%
-1
Explanation
Step1: Find coordinates of the point which divide two points internally.
Given points are P(2,3,4) & Q(4,5,6)
ratio is
=
−
3
2
=
m
n
We know that, the coordinates of the point
P
(
x
,
y
,
z
)
dividing the line segment
joining the points
A
(
x
1
,
y
1
,
z
1
)
and
B
(
x
2
,
y
2
,
z
2
)
in the ratio m : n internally is
=
(
m
x
2
+
n
x
1
m
+
n
,
m
y
2
+
n
y
1
m
+
n
,
m
z
2
+
n
z
1
m
+
n
)
Let,
R be
(
x
3
,
y
3
,
z
3
)
R
=
(
m
x
2
+
n
x
1
m
+
n
,
m
y
2
+
n
y
1
m
+
n
,
m
z
2
+
n
z
1
m
+
n
)
=
(
−
3
(
4
)
+
2
(
2
)
−
3
+
2
,
−
3
(
5
)
+
2
(
3
)
−
3
+
2
,
−
3
(
6
)
+
2
(
4
)
−
3
+
2
)
=
(
−
8
−
1
,
−
9
−
1
,
−
10
−
1
,
)
=
(
8
,
9
,
10
)
Thus, the value of parameter which represent R is (8,9,10).
Which of the statement is true ? The coordinate planes divide the line joining the points
(
4
,
7
,
−
2
)
and
(
−
5
,
8
,
3
)
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all externally
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two externally and one internally
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two internally and one externally
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none of these
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1
2
3
4
5
6
1
2
3
4
5
6
0
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Incorrect : 0
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