Three Dimensional Geometry Test

Result

Three Dimensional Geometry Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a:

A
straight line

B
plane

C
sphere

D
none of these
Question 2
1 / -0

The direction ratios of normal to the plane through (1, 0, 0) and (0, 1, 0), which makes an angle with the plane x + y = 3, are

A
1, , 1

B
1, 1,

C
1, 1, 2

D
, 1, 1
Question 3
1 / -0

The angle between the lines x = 1, y = 2 and y = 1, z = 0 is

A
90^o

B
30^o

C
60^o

D
0^o
Question 4
1 / -0

The equation of the line passing through (1, 2, 3) and parallel to the planes x - y + 2z = 5 and 3x + y + z = 6, is:

A

B

C

D
None of these
Question 5
1 / -0

If a and b are two non-zero vectors, then the component of b along a is:

A

B

C

D
Question 6
1 / -0

The cosine of the angle between any two diagonals of a cube

A

B

C

D
Question 7
1 / -0

The shortest distance from the plane 12x + 4y + 3z = 327 to the sphere x² + y² + z² + 4x – 2y – 6z = 155 is:

A
26

B

C
13

D
39
Question 8
1 / -0

The angle between the two diagonals of a cube is

A
30°

B
45°

C
cos^{- 1}

D
cos^{- 1}
Question 9
1 / -0

_{In a triangle ABC, if D is the mid-point of side [BC], then find} .

A

B
)

C

D
None of these
Question 10
1 / -0

If ABCDEF is a regular hexagon and ,thenis equal to

A
₊

B

C

D
None of these
Question 11
1 / -0

The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a:

A
straight line

B
plane

C
sphere

D
none of these
Question 12
1 / -0

The equation x² + 3y² - 9x + 2y + 1 = 0, represents

A
a circle

B
an ellipse

C
a parabola

D
hyperbola
Question 13
1 / -0

The point of intersection of the line and plane 2x – y + 3z – 1 = 0 is

A
(10, – 10, 3)

B
(10, 10, – 3)

C
(– 10, 10, 3)

D
None of these
Question 14
1 / -0

The distance between the planes ax + by + cz + d₁ = 0 and ax + by + cz + d₂ = 0 is

A

B

C

D
None of these
Question 15
1 / -0

The equation of XOY plane is

A
x = 0

B
y = 0

C
z = 0

D
z = c
Question 16
1 / -0

If = 1 – cos + i sin, then amp z =

A

B
–

C

D
Question 17
1 / -0

The medians of a triangle are concurrent at the point called

A
Circumcentre

B
Orthocentre

C
Centroid

D
Incentre
Question 18
1 / -0

The area of the triangle formed by the points (a, b + c), (b, c + a) and (c, a + b) is equal to

A
abc

B
a² + b² + c²

C
ab + bc + ca

D
0
Question 19
1 / -0

_{^{If I is the incentre of triangle ABC, then}}_{^{is equal to}}

A

B

C

D
None of these
Question 20
1 / -0

The equation xy = 0 in three dimensional space represents

A
a pair of straight lines

B
a plane

C
a pair of planes at right angles

D
a pair of parallel planes