Class XII Maths 3D Geometry 2

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Question 1

Let L be the line of intersection of the planes 2x + 3y + z = 1 and x + 3y + 2z = 2. If L makes an angle α with the positive x–axis, then cosα equals

• A1
• B
• C
• D

Question 2

The equation of line perpendicular to the line  and passing through (–2, –5, 7) is

• A
• B
• C
• Dnone of these

Question 3

The perpendicular distance of A (1, 4, – 2) from the segment BC where B = (2, 1, – 2) and C = (0, – 5, 1) is-

• A
• B
• C
• D

Question 4

A line segment (vector) has length 21 and direction ratios as 2, –3, 6. If the line makes obtuse angle with x - axis, the components of the line (vector) are -

• A–6, 9, –18
• B2, –3, 6
• C6, – 9, 18
• D–18, 27, – 54

Question 5

Which of the following system is linearly dependent-

• A = +, = +, = 3 + 3 + 2
• B= –2– 4,=–2–,=– 4 + 3
• C= – 2 + 3, = 3 – 6 + 9
• D=–2– 4,= –2–,=–4 + 3

Question 6

The d.c's of a line whose direction ratios are 2, 3, –6, are-

• A
• B
• C
• DNone of these

Question 7

The projections of a line segment on x, y and z axes are respectively 3, 4 and 5, then the length and direction cosines of the line segment is

• A5 ; , ,
• B3 ; , ,
• C5; , ,
• D3; , ,–

Question 8

The point in which the join of (–9, 4, 5) and (11, 0, –1) is met by the perpendicular from the origin is-

• A(2, 1, 2)
• B(2, 2, 1)
• C(1, 2, 2)
• DNone of these

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