Three Dimensional Geometry  MCQs

MCQs of Three Dimensional Geometry

Showing 111 to 120 out of 188 Questions
111.
Equation of the plane oassing through A(2, 0, 0), B(0, -4, 0), and C(0, 0, 6) is_____
(a) 6x+3y-2z=12
(b) 6x-3y+2z=12
(c) x-y+2z=12
(d) none of these
Answer:

Option (b)

112.
The equation of the plan passing through(1,-4,5) and having normal (3,1,-1) is _____
(a) 3x+y-z+6=0
(b) 3x+y+z-6=0
(c) 3x-y+z-6=0
(d) x+y-z+6=0
Answer:

Option (a)

113.
Equation of a plane passing through (2, 3, 1) and (4, -5, 3) and perpendicular to XY-plane is_____
(a) 4x+y+11=0
(b) 4x-y+11=0
(c) 4x+y-11=0
(d) 4x-y-11=0
Answer:

Option (c)

114.
The perpendicular distance of the point (3,2,1) from the plane 3x+4y-2z-10=0 is _____
(a) 529
(b) 514
(c) 314
(d) 729
Answer:

Option (a)

115.
Image of (3, 5, 7) in the plane 2x+y+z=6 is_____
(a) (5, 1, 3)
(b) (5, -1, 3)
(c) (-5, 1, 3)
(d) (5, -1, -3)
Answer:

Option (c)

116.
The point of intersection of the lino x+42=y+35=z-33 and the plane x+y+z+2=0 is _____
(a) 135,-2,185
(b) -185,-2,-85
(c) 185,-3,-185
(d) -185,-2,-185
Answer:

Option (d)

117.
Distance parallel to 2i^+3j^-6k^, of a point i^+2j+3k^ from the plane r¯.(i^+j^+k^)=5 is _____
(a) 7
(b) 17
(c) 1
(d) 49
Answer:

Option (a)

118.
The X-axis makes an angle of measure_____with the plane 2x+3y-23z+25=0
(a) sin-1121
(b) tan-1221
(c) sin-1221
(d) cos-1121
Answer:

Option (b)

119.
If the plane passing through (1,1,1), (1,-1,1) and (-1,3,-5) also passes through (k,1,2), then k=_____
(a) 43
(b) 34
(c) -43
(d) -34
Answer:

Option (a)

120.
Equation of the plane containing the lines r¯=i^+j^+λi^+2j^-k^ and r¯=i^+j^+μ-i^+j^-2k^ is _____
(a) r¯.i^+j^+k^=0
(b) r¯.i^-j^-k^=0
(c) r¯.i^+j^+k^=3
(d) None of these
Answer:

Option (b)

Showing 111 to 120 out of 188 Questions