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CBSE Questions for Class 11 Engineering Maths Introduction To Three Dimensional Geometry Quiz 3 - MCQExams.com

If the extremities of a diagonal of a square are (1,2,3) and (2,3,5), then area of the square is
  • 6
  • 3
  • 32
  • 3

A=(2,4,5) and B=(3,5,4) are two points. lf the XY-plane, YZ-plane divide AB in the ratio a:b and p:q respectively, then ab+pq=
  • 2312
  • 712
  • 712
  • 2215
If A=(1,2,3),B=(2,3,4) and AB is produced upto C such that 2AB=BC, then C=
  • (5,4,6)
  • (6,2,4)
  • (4,5,6)
  • (6,4,5)
If the points A(3,2,4), B(1,1,1) and C(1,4,2) are collinear, then the ratio in which C divides AB is 
  • 1:2
  • 2:1
  • 1:2
  • 4:0
Two opposite vertices of a square are (2,3,4) and (4,1,2). The length of the side of the square is
  • 58
  • 27
  • 14
  • 7
If A=(2,3,1),B=(3,4,6) and C is a point of trisection of AB, then Cy=
  • 113
  • 11
  • 103
  • 113
The point P is on the y-axis. If P is equidistant from (1,2,3) and (2,3,4), then Py=
  • 152
  • 15
  • 30
  • 32
A=(1,2,3) , B= (2, 1, 3), C= (4, 2, 1) and G=(1,3,5) is the centroid of the tetrahedron ABCD. Then the fourth coordinate is
  • (11,11,13)
  • (11,11,45)
  • (11,11,13)
  • (11,13,11)
XOZ plane divides the join of (2,3,1) and (6,7,1) in the ratio
  • 3:7
  • 2:7
  • 3:7
  • 2:7
The shortest distance of (a,b,c) from x-axis is
  • a2+b2
  • b2+c2
  • c2+a2
  • a2+b2+c2
The distance between the circumcentre and the ortho centre of the triangle formed by the points (2,1,5),(3,2,3) and (4,0,4) is
  • 6
  • 62
  • 26
  • 0
If the zx-plane divides the line segment joining (1,1,5) and (2,3,4) in the ratio p:1, then p+1=
  • 13
  • 1
  • 34
  • 43
The ratio in which yz-plane divides the line segment joining (3,4,2),(2,1,3) is
  • 4:1
  • 3:2
  • 2:3
  • 1:4
If (4,2,p) is the centroid of the tetrahedron formed by the points (k,2,1),(4,1,1),(6,2,5) and
(3,3,3) then k+p=
  • 173
  • 1
  • 53
  • 5
The circum centre of the triangle formed by the points (2,5,1),(1,4,3) and (2,7,3) is
  • (6,0,1)
  • (0,6,1)
  • (1,6,2)
  • (6,1,2)
The distance from the origin to the centroid of the tetrahedron formed by the points (0,0,0),(a,0,0),(0,b,0),(0,0,c) is:
  • a+b+c4
  • a+b+c3
  • a2+b2+c216
  • a2+b2+c24
The circum radius of the triangle formed by the points (1,2,3),(2,3,1) and (3,1,2) is:
  • 14
  • 14
  • 13
  • 0
G(1,1,2) is the centroid of the triangle ABC and D is the mid point of BC. If A=(1,1,4), then D=
  • (12,1,52)
  • (5,1,2)
  • (5,1,2)
  • (2,1,1)
If the centroid of tetrahedron OABC where A,B,C are given by (a,2,3),(1,b,2) and (2,1,c) respectively is (1,2,2), then distance of P(a,b,c) from origin is
  • 195
  • 14
  • 10714
  • 13
The circum radius of the triangle formed by the points (2,1,1),(1,3,5) and (3,4,4) is
  • 62
  • 352
  • 412
  • 41
If A=(1,6,6) , B=(4,9,6) , G=13(5,22,22) and G is the centroid of the ΔABC then the name of the triangle ABC is
  • an isosceles triangle
  • a right angled triangle
  • an equilateral triangle
  • a right-angled isosceles triangle
If the orthocentre, circumcentre of a triangle are (3,5,2),(6,2,5) respectively then the centroid of the triangle is
  • (3,3,4)
  • (32,72,92)
  • (9,9,12)
  • (9232,32)
The extremities of a diagonal of a rectangular parallelopiped whose faces are parallel to the reference planes are (2,4,6) and (3,16,6). The length of the base diagonal is
  • 7
  • 10
  • 11
  • 13
In the tetrahedron ABCD, A=(1,2,3) and G(3,4,5) is the centroid of the tetrahedron. If P is the centroid of the ΔBCD, then AP=
  • 8213
  • 4213
  • 421
  • 213
In the Δ ABC , A = (1, 3, -2) and G (-1, 4, 2) is the centroid of the triangle. If D is the mid point of BC then AD =
  • 212
  • 3212
  • 21
  • 632
The harmonic conjugate of (2,3,4) with respect to the points (3,2,2) and (6,17,4) is
  • (185,5,45)
  • (11,16,2)
  • (12,13,14)
  • (0,0,0)
A=(2,3,0) and B=(2,1,2) are two points. If the points P,Q are on the line AB such that AP=PQ=QB, then PQ=
  • 22
  • 62
  • 89
  • 2
Then the correct matching is
List - I
List - II
A: The coordinates of the
mid point of the line joining

(1,1,1) and (1,1,1)


1) (2,1,1)

B: The coordinates of the
point which divides the
line segment joining

(2,3,1 ) and (5,0,4)
in the ratio1:2


2) (1,0,0)


C: The points and P(2,1,3)
are three vertices of a
parallelogram PQRS,
the fourth vertex


 3) (133,113,6)


D: The vertices of a triangle
are (7,4,7) , (1,6,10)
and (5,1,1) . centroid of the
triangle

4) (3, 2, 2 )


  • A2, B4, C1, D3
  • A1, B2, C3, D4
  • A2, B3, C1, D4
  • A1, B4, C3, D2
If the points A,B,C,D are collinear and C,D divide AB in the ratios 2:3,2:3 respectively, then the ratio in which A divides CD is
  • 5:1
  • 2:3
  • 3:2
  • 1:5

P(1,1,1) and Q(λ,λ,λ) are two points in the space such that PQ=27, then the value(s) of λ can be
  • 4
  • 2,4
  • 2
  • 4,3
0:0:2


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Practice Class 11 Engineering Maths Quiz Questions and Answers