Problem 1:

If , then show that

Problem 2:

If , show that

Problem 3:

If , show that

Problem 4:

If , prove that

Problem 5:

If , prove that

Problem 6:

Show that the eliminant of

is

Problem 7:

Eliminate x, y, z from the equations:

.

This has significance in co-ordinate geometry. (related to conics).

Problem 8:

If , , , show that .

Problem 9:

Given that , , , prove that

Problem 10:

Solve the following system of equations:

Problem 11:

Solve the following system of equations:

Problem 12:

Solve the following system of equations:

Problem 13:

Solve the following system of equations:

Problem 14:

If ,

and ,

prove that

Problem 15:

Solve the following system of equations:

Cheers,

Nalin Pithwa