Three Dimensional Geometry  MCQs

MCQs of Three Dimensional Geometry

Showing 21 to 30 out of 188 Questions
21.
The equation of the plane passing through (2,2,1) and (9,3,6) and which is perpendicular to the plane 2x + 6y + 6z - 1 = 0 is _____
(a) 3x + 4y + 5z = 9
(b) 3x + 4y - 5z + 9 = 0
(c) 3x + 4y - 5z - 9 = 0
(d) none of these
Answer:

Option (c)

22.
 Equation of the plane passing through A(-1,2,3) and B(3,-5,6) and which is parallel to the line x-42=3-y-4=z-25is _____
(a) 47x + 14y + 30z -109 = 0
(b) 47x + 14y - 30z = 109
(c) 47x + 14y - 30z + 109 = 0
(d) none of these
Answer:

Option (d)

23.
The equation of plane passing through intersection of x + 2y + 3z = 4 and 2x + y - z = -5 and is perpendicular to 5x + 3y + 6z + 8 = 0 is _____
(a) 7x - 2y + 3z + 81 = 0
(b) 23x + 14y -9z +48 = 0
(c) 51x + 15y -50z +173 = 0
(d) none of these
Answer:

Option (c)

24.
The equation of plane passing through the origin and the line of intersection of x + 2y + 3z - 4 = 0 and 4x + 3y + 2z + 1 = 0 is ______
(a) 17x + 14y + 11z = 0
(b) 7x + 4y + z = 0
(c) x + 14y + 11z = 0
(d) 17x + y + z = 0
Answer:

Option (a)

25.
If the direction cosines of the normal of plane are π4,π4 and π2 and its perpendicular distance from origin is 2 then what will be the equation of plane ?
(a) x+y+z2=2
(b) x+y+z=22
(c) x + y = 2
(d) 2x+y+2z=2
Answer:

Option (c)

26.
Distance of the plane from origin, which passes through (1,1,1) and is perpendicular to x-13=y-10=z-14 is ______
(a) 34
(b) 43
(c) 75
(d) 1
Answer:

Option (c)

27.
Condition for the line r=a+kl ,kR, to be parallel to the plane r·n=d is  _____
(a) l·n=0
(b) l·n0
(c) l·n=0 and a·nd
(d) l·n=0 and a·n=d
Answer:

Option (c)

28.
The three dimensional equation 3x - 4y = 0 denotes
(a) Plane containing Z - axis
(b) Plane containing X - axis
(c) Plane containing Y - axis
(d) none of these.
Answer:

Option (a)

29.
The equation of the plane which is perpendicular bisector of the line segment joining (2, 3, 4) and (6,7,8) is _____
(a) x + y + z + 15 = 0
(b) x + y + z - 15 = 0
(c) x - y + z - 15 = 0
(d) none of these
Answer:

Option (b)

30.
In which ratio the plane r·i^+2j^-3k^=17 divides the line joining the points-2i^+4j^-7k^ and 3i^+5j^+8k^ ?
(a) 1 : 5
(b) 1 : 10
(c) 3 : 5
(d) 3 : 10
Answer:

Option (d)

Showing 21 to 30 out of 188 Questions