
Relations and Functions

Inverse Trigonometric Functions

Matrices

Determinants

Continuity and Differentiability

Application of Derivatives

Integrals

Differential Equations

Probability

Vectors

Three  Dimensional Geometry

Application of Integrals

Applications of Calculus in Commerce and Economics

Linear Regression

Linear Programming
Coplanar and Skew Lines
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Q1
When will two nonparallel lines intersect?
Marks:1Answer:
Two nonparallel lines will intersect iff the shortest distance between them is zero.

Q2
Define the line of shortest distance.
Marks:1Answer:
If there are two skew lines, then there is one and only one line which is perpendicular to both the lines and this line is called the line of shortest distance.

Q3Marks:5
Answer:

Q4Marks:3
Answer:

Q5
The vector equations of two lines are .Find the shortest distance between the above lines.
Marks:5Answer: