Three Dimensional Geometry  MCQs

MCQs of Three Dimensional Geometry

Showing 61 to 70 out of 188 Questions
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61.
The normal to the plane x + 2y + 3z = 6 is _____.
(a) (1, -2, 3)
(b) (1, 2, 3)
(c) 114, 214, 314
(d) None of the above
Answer:

Option (b)

62.
The measure of the angle between the plane r¯·1, 2, 1=1 and the line x2=y1=z-1 is ______.
(a) π6
(b) π3
(c) π4
(d) None of the above
Answer:

Option (a)

63.
The perpendicular distance between the plane 6x - 3y + 2z = 1 and 12x - 6y + 4z = 21 is _____.
(a) 6317
(b) 631
(c) 127
(d) 1914
Answer:

Option (d)

64.
The equation of the plane passing through the points (3, 4, 2), (2, 2, -1) and (7, 0, 6) is _____.
(a) 5x + 2y - 3z - 17 = 0
(b) 5x + 2y - 3z + 17 = 0
(c) 5x + 2y + 3z + 17 = 0
(d) 5x - 2y + 3z - 17 = 0
Answer:

Option (a)

65.
If the plane intersect the axes at A, B and C and the centroid of ΔABC is (1, 3, 1), the equation of the plane is _____.
(a) x3+y1+z3=3
(b) x1+y3+z1=3
(c) 3x + 3y + z = 3
(d) None of the above
Answer:

Option (b)

66.
If the perpendicular from the origin to the plane makes angles of equal measure with i^, j^, k^ and its length is 3, then what is the equation of the plane ?
(a) x + y + z = 3
(b) x + y + z = 33
(c) x + y + z = 3
(d) x + y + z = 9
Answer:

Option (c)

67.
If the direction of the lines x-1c=y+2-2=z-34 and x-51=y-31=z+1c are same, c = _____ .
(a) -2
(b) 2
(c) 0
(d) 4
Answer:

Option (a)

68.
The length of perpendicular from the point P(4,-5,3) to the line r¯ = 5,-2,6 + k3,-4,5,k∈R is _____ .
(a) 4575
(b) 45752
(c) 45725
(d) None of the above
Answer:

Option (a)

69.
The equation of the line is parallel to the line x-13=2-y-5=z-1015 and passing through (2, 3, 4) is _____ .
(a) r¯=2+3k, 3+5k, 4+15k, k∈R
(b) r¯=2-3k, 3-5k, 4-15k, k∈R
(c) r¯=2+3k, 3-5k, 4+15k, k∈R
(d) None of the above
Answer:

Option (a)

70.
The X-intercept formed by the plane 2x - 3y + 6z = 12 is _____ .
(a) 6
(b) 12
(c) 4
(d) -4
Answer:

Option (a)

Showing 61 to 70 out of 188 Questions
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