Three-Dimensional Geometry

Subject matter experts of JagranJosh have developed chapter wise practice questions of Class 12th as per the relevancy of the chapter in the CBSE board exam. This practice set contains 10 questions with detailed explanations on “Chapter: Three-Dimensional Geometry” of Mathematics.

  • Q1. The image of the point ( 1,6,3 ) in the line  x 1 = y1 2 = z2 3  is:

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  • Q2. If lines   x1 2 = y2 3 = z3 4  and  x4 5 = y1 2 =z intersect each other ,then their point of intersection are:

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  • Q3.The equation of the plane through the line of intersection of the planes x + y + z and 2x + 3y + 4z = 5 which is ⊥ of the plane x - y + z = 0 is:

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  • Q4.If the points (1,1, p) and (-3,0,1)be equidistant from the plane

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  • Q5. The shortest distance between the lines  l 1  and  l 2  given by: r =( i ^ +2 j ^ + k ^ )+λ( i ^ j ^ + k ^ ) r =( 2 i ^ j ^ k ^ )+μ( 2 i ^ + j ^ +2 k ^ ) is:

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  • Q6. A line passing through the point A with position vector  a =4 i ^ +2 j ^ +2 k ^ is parallel to the vector  b =2 i ^ +2 j ^ +6 k ^ . Find the foot of the perpendicular drawn on this line from a point P with position vector  r 1 = i ^ +2 j ^ +3 k ^

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  • Q7. The vector equation of the plane passing through the points i ^ + j ^ k ^  and 2 i ^ +6 j ^ + k ^  and parallel to the line  r =( 3 i ^ 5 j ^ + k ^ )+λ( i ^ 2 j ^ + k ^ ) is:

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