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