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WBJEE: Study Notes and Important Questions – Three Dimensional Geometry

Dec 12, 2018 15:24 IST
WBJEE 2019: Three Dimensional Geometry

Engineering aspirants preparing for WBJEE 2019 will get study notes including important concepts, formulae and some solved questions related to Three Dimensional Geometry. There notes are prepared by subject experts after doing the detailed analysis of the previous years’ papers and latest syllabus of WBJEE. Students generally find 2-3 questions from this topic in the examination. With the help of these notes, students can study the following topics:

  • Direction cosines,
  • Direction ratio,
  • Relation between the direction cosines,
  • Relation between direction cosines and direction ratio,
  • Vector equation of a line,
  • Cartesian equation of a line passing through two points,
  • Distance between two parallel lines,
  • Equation of a plane,
  • Condition for coplanar planes and
  • Distance of a point from a plane

WBJEE: Important Questions and Preparation Tips – Limits

Important Concepts:

WBJEE Three Dimensional Geometry

WBJEE Three Dimensional Geometry

Some previous years solved questions are given below:

Question 1:

WBJEE Three Dimensional Geometry Q1

Solution 1:

WBJEE Three Dimensional Geometry S1

Hence, the correct option is (b).

Question 2:

WBJEE Three Dimensional Geometry Q2

Solution 2:

WBJEE Three Dimensional Geometry S2

Hence, the correct option is (c).

Question 3:

WBJEE Three Dimensional Geometry Q3

Solution 3:

When the line lies on the plane then, the direction ratios of the line must be perpendicular to the direction ratios of normal to the plane.

The line must be perpendicular to the normal to plane.

3.1 + (2 + λ) (─2) + (─1).0 = 0

WBJEE Three Dimensional Geometry S3

Hence, the correct option is (C).

Question 4:

WBJEE Three Dimensional Geometry Q4

Solution 4:

WBJEE Three Dimensional Geometry S4

Hence, the correct option is (b).

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