CBSE Questions for Class 11 Engineering Maths Introduction To Three Dimensional Geometry Quiz 1 - MCQExams.com

Distance between $$A(4,5,6)$$ from origin $$O$$ is
  • $$25\sqrt3$$
  • $$\sqrt {77}$$
  • $$3\sqrt5$$
  • Data Insufficient
In the given figure, co-ordinates of the midpoint of $$AB$$ are 
375507.bmp
  • $$(0,2)$$
  • $$(0,3)$$
  • $$(1,2)$$
  • $$(3,1)$$
Name three undefined terms.
  • Point
  • Line
  • Plane
  • All of the above
State the following statement is True or False
If two distinct lines are intersecting each other in a plane then they cannot have more than one point in common.
  • True
  • False
Distance between the points $$(12,4,7)$$ and $$(10,5,3)$$ is
  • $$\sqrt{21}$$
  • $$\sqrt{5}$$
  • $$\sqrt{17}$$
  • none of these
The three planes divides the space into 
  • four parts
  • six parts
  • eight parts
  • sixteen parts
A point on XOZ-plane divides the join of $$(5, -3, -2)$$ and $$(1, 2, -2)$$ at
  • $$\left(\displaystyle\frac{13}{5}, 0, -2\right)$$
  • $$\left(\displaystyle\frac{13}{5}, 0, 2\right)$$
  • $$(5, 0, 2)$$
  • $$(5, 0, -2)$$
In three dimensions, the coordinate axes of a rectangular cartesian coordinate system are
  • three mutually parallel lines
  • three mutually perpendicular lines
  • two mutually perpendicular lines and any two parallel
  • None of these
If G is centroid of $$\triangle ABC$$, then 
  • $$\overrightarrow {G}=\overrightarrow {a}+ \overrightarrow {b}+\overrightarrow{c}$$
  • $$\displaystyle \overrightarrow {G} = \frac {\overrightarrow{a} + \overrightarrow {b} +\overrightarrow{c}}{2}$$
  • $$3\overrightarrow {G}=\overrightarrow {a}+ \overrightarrow {b}+\overrightarrow {c}$$
  • $$\displaystyle 3\overrightarrow {G}=\frac{\overrightarrow {a}+\overrightarrow{b}+\overrightarrow{c}}{2}$$
Find the distance between $$(12,3,4)$$ and $$(4,5,2)$$
  • $$\sqrt {72}$$
  • $$\sqrt {62}$$
  • $$\sqrt {64}$$
  • None of these
A point at which all the three perpendicular coordinate axes meets is known as 
  • Meeting point
  • Origin
  • Triple point
  • None of these
The coordinates of any point, which lies on $$x$$ axis are
  • $$(0,x,0)$$
  • $$(x,0,0)$$
  • $$(x,x,0)$$
  • $$(x,x,x)$$
Point $$D$$ has coordinates as $$(3,4,5)$$. Referring to the given figure, find the coordinates of point $$C$$.
505625.png
  • $$(4,0,0)$$
  • $$(0,3,4)$$
  • $$(0,3,0)$$
  • $$(0,4,0)$$
Point $$D$$ has coordinates as $$(3,4,5)$$. Referring to the given figure, find the coordinates of point $$B$$.
505625.png
  • $$(3,0,4)$$
  • $$(4,3,0)$$
  • $$(4,0,3)$$
  • $$(3,4,0)$$
Point $$D$$ has coordinates as $$(3,4,5)$$. Find the coordinates of the point $$F$$.
505625.png
  • $$(0,4,0)$$
  • $$(0,0,4)$$
  • $$(0,0,5)$$
  • $$(0,5,0)$$
The coordinate of any point, which lies in $$xy$$ plane , is
  • $$(x,0,y)$$
  • $$(x,x,0)$$
  • $$(x, 0, x)$$
  • $$(y,0,x)$$
Point $$D$$ has coordinates as $$(3,4,5)$$. Find the coordinates of point $$G$$.
505625.png
  • $$(0,3,5)$$
  • $$(3,0,4)$$
  • $$(3,5,4)$$
  • $$(3,0,5)$$
In which octant, does $$(-4,2,3)$$ lie?
  • III
  • VIII
  • VI
  • II
If point $$p$$ lies in first octant, then the sign of $$x-$$ coordinate will always be 
  • $$+$$
  • $$-$$
  • $$x$$ coordinate is always $$0$$
  • $$x$$ coordinate can be $$+$$ or $$-$$
Point $$D$$ has coordinates as $$(3,4,5)$$. Referring to the given figure, find the coordinates of point $$A$$.
505625.png
  • $$(4,0,0)$$
  • $$(3,4,0)$$
  • $$(3,0,0)$$
  • $$(4,3,0)$$
$$(-1,-5,-7)$$ lies in Octant
  • I
  • VII
  • V
  • III
A rectangular wooden prism is made up of three pieces, each consisting of four cubes of wood glued together. Which of the following pieces has the same shape as the black piece?
528515_5f4185292e6a47be99c822cab3441ba5.png
If the $$zx$$-plane divides the line segment joining $$(1,-1,5)$$ and $$(2,3,4)$$ in the ratio $$p:1$$, then $$p+1=$$
  • $$\dfrac{1}{3}$$
  • $$1:3$$
  • $$\dfrac{3}{4}$$
  • $$\dfrac{4}{3}$$
The point $$(0 , -2 , 5)$$ lies on the
  • z axis
  • x axis
  • xy plane
  • yz plane
  • xz plane
The ratio in which the plane $$2x+3y-2z+7=0$$ divides the line segment joining the points $$(-1, 1, 3)$$, $$(2, 3, 5)$$ is
  • $$3:5$$
  • $$7:5$$
  • $$9:11$$
  • $$1:5$$ externally
The points $$(2, 5)$$ and $$(5, 1)$$ are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line $$y = 2x + k$$, then the value of k is
  • 4
  • 3
  • -4
  • -3
  • 1
An ordered triplet corresponds to ___________ in three dimensional space.
  • three points
  • a unique point
  • a point in each octant
  • infinite number of points
The ratio in which $$xy-$$plane divides the line joining the points $$(1, 0, -3)$$ and $$(1, -5, 7)$$ is given by 
  • $$7:3$$
  • $$3:7$$
  • $$3:4$$
  • $$4:7$$
The distance between the origin and the centroid of the tetrahedron whose vertices are $$(0, 0, 0)$$, $$(a, 0, 0), (0, b, 0), (0, 0, c)$$ is?
  • $$\sqrt{a^2+b^2+c^2}$$
  • $$\dfrac{\sqrt{a^2+b^2+c^2}}{2}$$
  • $$\dfrac{\sqrt{a^2+b^2+c^2}}{4}$$
  • $$4\sqrt{a^2+b^2+c^2}$$
The distance of origin from the image of (1, 2, 3) in plane x - y + z = 5 is 
  • $$\sqrt{17}$$
  • $$\sqrt{29}$$
  • $$\sqrt{34}$$
  • $$\sqrt{41}$$
0:0:1


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