Class XII Maths 3D Geometry 3

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Question 1

Two systems of rectangular axes have the same origin. If a plane cuts them at distances a, b, c and a′, b′, c′ from the origin, then

• A = 0
• B = 0
• C = 0
• D = 0

Question 2

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is

• A
• B
• C
• D

Question 3

In three dimensional space, the equation 3y + 4z = 0 represents-

• AA plane containing x-axis
• BA plane containing y-axis
• CA plane containing z-axis
• DA line with direction ratios 0, 3, 4

Question 4

The image of the point (–1, 3, 4) in the plane x – 2y = 0 is

• A
• B(8, 4, 4)
• C
• DNone of these

Question 5

Through a point P (α, β, γ), a plane is drawn at right angles to OP (O being the origin). The plane meets the axis in A, B & C respectively. If OP = p, then the area of the triangle ABC is

• A
• B
• C
• D

Question 6

If the coordinates of the vertices of a triangle ABC be A(–1, 3, 2), B(2, 3, 5) and C(3, 5, –2), then ∠A is equal to-

• A45 º
• B60 º
• C90 º
• D30 º

Question 7

For a non- zero vector if the equation . = . and × = × hold simultaneously, then:

• A is perpendicular to –
• B=
• C =
• D =

Question 8

Vector satisfying the relation . = c and × = is

• A
• B
• C
• D

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