MCQExams
0:0:1
CBSE
JEE
NTSE
NEET
Practice
Homework
×
JEE Questions for Maths Three Dimensional Geometry Quiz 6 - MCQExams.com
JEE
Maths
Three Dimensional Geometry
Quiz 6
If direction cosines of two lines are proportional to (2, 3, -and (3, -4, 5), then the angle between them is
Report Question
0%
cos-1 (49/36)
0%
cos-1(18√2/35)
0%
96o
0%
cos-1 (18/35)
If the direction cosines of two lines are such that
l
+
m
+
n
= 0,
l
2
+
m
2
-
n
2
= 0, then the angle between then is
Report Question
0%
π
0%
π/3
0%
π/4
0%
π6
The ratio in which the line joining (2, 4,, (3, 5, -is divided by the YZ-plane, is
Report Question
0%
2 : 3
0%
3 : 2
0%
-2 : 3
0%
4 : -3
The cosines of ∠A of the triangle with vertices A(1, -1, 2), B(6, 11,and C(1, 2,is
Report Question
0%
63/65
0%
36/65
0%
16/65
0%
13/64
If P = (0, 1, 2), Q = (4, -2,and O = (0, 0, 0), then ∠POQ is equal to
Report Question
0%
π/6
0%
π/4
0%
π/3
0%
π/2
If OA is equally inclined to OX, OY and OZ and if A is √3 units from the origin, then A is
Report Question
0%
(3, 3, 3)
0%
(-1, 1, -1)
0%
(-1, 1,1)
0%
(1, 1, 1)
A point on X-axis which equidistant from both the points (1, 2,and (3, 5, -is
Report Question
0%
(-6, 0, 0)
0%
(5, 0, 0)
0%
(-5, 0, 0)
0%
(6, 0, 0)
Let O be the origin and P be the point at a distance 3 units from origin. If direction ratios of OP are (1, -2, -2), then coordinates of P is given by
Report Question
0%
(1, -2, -2)
0%
(3, -6, -6)
0%
(1/3, -2/3, -2/3)
0%
(1/9, -2/9, -2/9)
The direction cosines of the line passing through P(2, 3, -and the origin are
Report Question
0%
0%
2)
0%
0%
Report Question
0%
0%
2)
0%
0%
Report Question
0%
2/9
0%
1/2
0%
9/2
0%
1/6
Report Question
0%
1
0%
2
0%
3
0%
4
Report Question
0%
any value
0%
excactly one value
0%
exactly two values
0%
exactly three values
Report Question
0%
(5, 7, -2)
0%
(-3, 3, 6)
0%
(2, 10, 4)
0%
(21, 5/3, 10/3)
Report Question
0%
0%
2)
0%
0%
None of these
Report Question
0%
Statement I is correct, Statement II is correct; Statement II is not correct explanation for Statement I
0%
Statement I is correct, Statement II is incorrect
0%
Statement I is correct, Statement II is correct
0%
Statement I is correct, Statement Ii is correct; Statement II is correct explanation for Statement II
If lines
x
= 1 + s, y = -3 - λs and
x
= t/2 , y = 1 + t , z = 2 - t, where s and t are parameters, are coplanar, then λ is equal to
Report Question
0%
-1/2
0%
-1
0%
-2
0%
0
Report Question
0%
2√3
0%
3√3
0%
4√3
0%
None of these
The direction ratios of the line
x
- y + z - 5 = 0 =
x
- 3y - 6 are
Report Question
0%
3, 1, -2
0%
2, -4, 1
0%
0%
Report Question
0%
1, 5, 1/2
0%
-1, 5, 1
0%
-1, 5, 1/2
0%
1, 5, 1
If the line passing through the points (5, 1, a) and (3, b,crosses the YZ-plane at the point
Report Question
0%
a = 8, b = 2
0%
a = 2, b = 8
0%
a = 4, b = 6
0%
a = 6, b = 4
Report Question
0%
-2
0%
-5
0%
5
0%
2
Report Question
0%
0%
2)
0%
0%
None of these
The two lines
x
= ay + b, z = cy + d and
x
= a' y + b', z = c' y + d' are perpendicular to each other, if
Report Question
0%
aa' + cc' = 1
0%
2)
0%
0%
aa' + cc' = -1
The direction cosines of the line 4
x
- 4 = 1 - 3y = 2z - 1 are
Report Question
0%
0%
2)
0%
0%
4, -3, 2
0%
The angle between the lines 2
x
= 3y = -z and 6
x
= -y = -4z is
Report Question
0%
30o
0%
45o
0%
90o
0%
0o
If the plane
x
+ y + z = 1 is rotated through an angle 90
o
about its line of intersection with the plane
x
- 2y + 3z = 0 then the new position of the plane is
Report Question
0%
x - 5y + 4z = 1
0%
x - 5y + 4z = -1
0%
x - 8y + 7z = 2
0%
x - 8y + 7z = -2
Equation of the plane through the mid - point of the line segment joining the points P(4, 5, -, Q(-1, 2,and perpendicular to PQ is
Report Question
0%
0%
2)
0%
0%
0%
Distance between two parallel planes 2
x
+ y + 2z = 8 and 4
x
+ 2y + 4z + 5 = 0 is
Report Question
0%
3/2
0%
5/2
0%
7/2
0%
9/2
The equation of a plane passing through the line of intersection of the planes
x
+ 2y + 3z = 2,
x
- y + z = 3 and at a distance 2/√3 from the point (3, 1, -1), is
Report Question
0%
5x - 11y + z = 17
0%
√2x + y = 3√2 - 1
0%
x + y + z = √3
0%
x - √2y = 1 - √2
0:0:1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
0
Answered
0
Not Answered
0
Not Visited
Correct : 0
Incorrect : 0
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Practice Maths Quiz Questions and Answers
<
>
Support mcqexams.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page