MCQGeeks
0 : 0 : 1
CBSE
JEE
NTSE
NEET
English
UK Quiz
Quiz
Driving Test
Practice
Games
CBSE
Class 12 Maths
Three Dimensional Geometry
Quiz 2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
The line x = 1, y = 2 is
0%
parallel to x-axis
0%
parallel to y-axis
0%
parallel to z-axis
0%
None of these
Explanation
parallel to z-axis
The points A (1, 1, 0), B(0, 1, 1), C(1, 0, 1) and D(\(\frac{2}{3}\), \(\frac{2}{3}\), \(\frac{2}{3}\))
0%
Coplanar
0%
Non-coplanar
0%
Vertices of a parallelogram
0%
None of these
Explanation
Coplanar
The angle between the planes 2x – y + z = 6 and x + y + 2z = 7 is
0%
\(\frac{π}{4}\)
0%
\(\frac{π}{6}\)
0%
\(\frac{π}{3}\)
0%
\(\frac{π}{2}\)
Explanation
\(\frac{π}{3}\)
The distance of the points (2, 1, -1) from the plane x- 2y + 4z – 9 is
0%
\(\frac{\sqrt{31}}{21}\)
0%
\(\frac{13}{21}\)
0%
\(\frac{13}{\sqrt{21}}\)
0%
\(\sqrt{\frac{π}{2}}\)
Explanation
\(\frac{13}{\sqrt{21}}\)
The planes \(\vec{r}\)(2\(\hat{i}\) + 3\(\hat{j}\) – 6\(\hat{k}\)) = 7 and
0%
parallel
0%
at right angles
0%
equidistant front origin
0%
None of these
Explanation
parallel
The equation of the plane through point (1, 2, -3) which is parallel to the plane 3x- 5y + 2z = 11 is given by
0%
3x – 5y + 2z – 13 = 0
0%
5x – 3y + 2z + 13 = 0
0%
3x – 2y + 5z + 13 = 0
0%
3x – 5y + 2z + 13 = 0
Explanation
3x – 5y + 2z + 13 = 0
Distance of the point (a, β, γ) from y-axis is
0%
β
0%
|β|
0%
|β + γ|
0%
\(\sqrt{α^2+γ^2}\)
Explanation
\(\sqrt{α^2+γ^2}\)
If the directions cosines of a line are A, k, k, then
0%
k > 0
0%
0 < k < 1
0%
k = 1
0%
k = \(\frac{1}{√3}\) or –\(\frac{1}{√3}\)
Explanation
k = \(\frac{1}{√3}\) or –\(\frac{1}{√3}\)
The distance of the plane \(\vec{r}\)(\(\frac{-2}{7}\)\(\hat{i}\) – \(\frac{3}{7}\)\(\hat{j}\) + \(\frac{6}{7}\)\(\hat{k}\)) = 0 from the orgin is
0%
1
0%
7
0%
\(\frac{1}{7}\)
0%
None of these
Explanation
1
The sine of the angle between the straight line \(\frac{x-2}{3}\) = \(\frac{y-3}{4}\) = \(\frac{z-4}{5}\) and the plane 2x – 2y + z = 5 is
0%
\(\frac{10}{6√5}\)
0%
\(\frac{4}{5√2}\)
0%
\(\frac{2√3}{5}\)
0%
\(\sqrt{\frac{√2}{10}}\)
Explanation
\(\frac{2√3}{5}\)
The reflection of the point (a, β, γ) in the xy-plane is
0%
(α, β, 0)
0%
(0, 0, γ)
0%
(- α, – β, γ)
0%
(α, β, γ)
Explanation
(α, β, γ)
The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2) is equal to
0%
9 sq. units
0%
18 sq. units
0%
27 sq. units
0%
81 sq. units
Explanation
9 sq. units
The plane 2x – 3y + 6z – 11 = 0 makes an angle sin
0%
\(\frac{√3}{2}\)
0%
\(\frac{√2}{3}\)
0%
\(\frac{2}{7}\)
0%
\(\frac{3}{7}\)
Explanation
\(\frac{2}{7}\)
The cosines of the angle between any two diagonals of a cube is
0%
\(\frac{1}{3}\)
0%
\(\frac{1}{2}\)
0%
\(\frac{2}{3}\)
0%
\(\frac{1}{√3}\)
Explanation
\(\frac{1}{3}\)
The direction cosines of any normal to the xy plane are
0%
1, 0 ,0
0%
0, 1, 0
0%
1, 1, 0
0%
None of the above
Explanation
1, 1, 0
0 h : 0 m : 1 s
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
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)
Support mcqgeeks.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page