Three Dimensional Geometry

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Question

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Question 1 :

What is the distance of the origin from the plane 2x + 6y - 3z + 7 = 0 ?

1. 1
2. 3
3. 2
4. 6
Answer
6789

Question 2 :

The equation of the plane through the points (3, 4, 2) and (7, 0, 6) and is perpendicular to the plane 2x-5y=15 is

1. 5x+2y-3z-17=0
2. 6x+y+3z-10=0
3. x+y+z+20=0
4. 10x-3y-5z=20
Answer
6790

Question 3 :

The acute angle between the planes 2x-y+z=6 and x+y+2z=3 is

1. 45⁰
2. 60⁰
3. 30⁰
4. 75⁰
Answer
6791

Question 4 :

The plane passing through the points (1, 1, 1), (1, -1, 1) and (-7, -3, -5) is parallel to

1. x-axis
2. y-axis
3. z-axis
4. can not be decided
Answer
6792

Question 5 :

The direction ratios of the line x-y+z-5=0=x-3y-6 are proportional to

1. 3,1,-2
2. 2,-4,1
Answer
6793