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CBSE
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MCQ Questions for CBSE Class 12 with Answers
MCQ Questions for CBSE Class 11 with Answers
MCQ Questions for CBSE Class 10 with Answers
MCQ Questions for CBSE Class 9 with Answers
MCQ Questions for CBSE Class 8 with Answers
MCQ Questions for CBSE Class 7 with Answers
MCQ Questions for CBSE Class 6 with Answers
MCQ Questions for CBSE Class 5 with Answers
MCQ Questions for CBSE Class 4 with Answers
MCQ Questions for CBSE Class 3 with Answers
MCQ Questions for CBSE Class 2 with Answers
MCQ Questions for CBSE Class 1 with Answers
Quiz
CBSE
/
Class 12
/
Maths
/
Three Dimensional Geometry
1.
The coordinates of the midpoints of the line segment joining the points (2, 3, 4) and (8, -3, 8) are
(10, 0, 12)
(5, 6, 0)
(6, 5, 0)
(5, 0, 6)
2.
The direction cosines of the normal to the plane 2x – 3y – 6z – 3 = 0 are
\(\frac{2}{7}\), \(\frac{-3}{7}\), \(\frac{-6}{7}\)
\(\frac{2}{7}\), \(\frac{3}{7}\), \(\frac{6}{7}\)
\(\frac{-2}{7}\), \(\frac{-3}{7}\), \(\frac{-6}{7}\)
None of these
3.
If 2x + 5y – 6z + 3 = 0 be the equation of the plane, then the equation of any plane parallel to the given plane is
3x + 5y – 6z + 3 = 0
2x – 5y – 6z + 3 = 0
2x + 5y – 6z + k = 0
None of these
4.
(2, – 3, – 1) 2x – 3y + 6z + 7 = 0
4
3
2
\(\frac{1}{5}\)
5.
The length of the ⊥
0
2√3
\(\frac{2}{3}\)
2
6.
The shortest distance between the lines \(\vec{r}\) = \(\vec{a}\) + k\(\vec{b}\) and r = \(\vec{a}\) + l\(\vec{c}\) is (\(\vec{b}\) and \(\vec{c}\) are non-collinear)
0
|\(\vec{b}\).\(\vec{c}\)|
\(\frac{|\vec{b}×\vec{c}|}{|\vec {a}|}\)
\(\frac{|\vec{b}.\vec{c}|}{|\vec {a}|}\)
7.
The equation xy = 0 in three dimensional space is represented by
a plane
two plane are right angles
a pair of parallel planes
a pair of st. line
8.
The direction cosines of any normal to the xy plane are
1, 0 ,0
0, 1, 0
1, 1, 0
1, 1, 0
9.
How many lines through the origin in make equal angles with the coordinate axis?
1
4
8
2
10.
The direction cosines of the line joining (1, -1, 1) and (-1, 1, 1) are
2, -2, 0
1, -1, 0
\(\frac{1}{√2}\), – \(\frac{1}{√2}\)
None of these
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