Three Dimensional Geometry  MCQs

MCQs of Three Dimensional Geometry

Showing 91 to 100 out of 188 Questions
91.
The length of perpendicular form the point P(4,-5,3) to line r¯ =(5,-2,6)+k(3,-4,5),k∈R is _____
(a) 4575
(b) 45752
(c) 45725
(d) None of the above
Answer:

Option (a)

92.
The equation of the line 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),kR
(b) r¯ = (2-3k,3-5k,4-15k),kR
(c) r¯ = (2+3k,3-5k,4+15k),kR
(d) None of the above
Answer:

Option (a)

93.
The X-intercept formed by the plane 2x-3x+6z=12 is _____
(a) 6
(b) 12
(c) 4
(d) -4
Answer:

Option (a)

94.
The measure of the angle between x+3y+z=1 and r¯ = (0,0,0),+k(2,1,-1)kR is _____
(a) π6
(b) π3
(c) π2
(d) π4
Answer:

Option (a)

95.
The measure of the angle between the planes ax+by+d=0 and z=0 (a2+b20) is _____
(a) π3
(b) cos-1da2+b2
(c) π2
(d) π4
Answer:

Option (d)

96.
The normal to the plane x+2y+3y=6 is _____
(a) 1,-2,3)
(b) (1,2,3)
(c) 114,214,314
(d) None of the above
Answer:

Option (b)

97.
Angle between the two diagonals of a cube is_____
(a) cos-113
(b) cos-113
(c) sin-113
(d) cos-123
Answer:

Option (a)

98.
The measure of 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)

99.
If OA^OX=45˚, OA^OY=60˚ then OA^OZ=_____
(a) 75˚
(b) 75˚ or 105˚
(c) 60˚ or 120˚
(d) 255˚
Answer:

Option (c)

100.
The perpendicular distance between the plane 6x-3y+2z=1 and 12x-6y+4z=21 is _____
(a) 6317
(b) 631
(c) 127
(d) 1912
Answer:

Option (d)

Showing 91 to 100 out of 188 Questions