EXAMPLE 6 Sketch the following:-

1. Cardioid r = a ( 1 + cos q)
   

2. Cardioid r = a (1 - cos q)
   

3. Four leaved Rose r = a sin 2q
   

4. Four leaved Rose r = a cos 2q
   

5. Three leaved Rose r = a sin 3q
   

6. Three leaved Rose r = a cos 3q
   

7. Leminscate of Bernoulli r² = a² cos 2q
   

8. Archimedes' spiral r = aq
   

9. The equiangular spiral r = ae^bq
   

10. Leminscate r² = a² sin 2q

Solution

Index

7.1 Scalers & Vectors
7.2 Algebra of Vectors
7.3 Representation of a vector in a plane
7.4 Dotor Scalar product
7.5 Polar Co-ordinates
Supplementary Problems

Chapter 8