St Joseph’s Institution Secondary Four Mathematics TOPIC − Simultaneous Equations Name:_____________________________________ (
) Class: ___________
Q1)
Find the range of values of m such that the line y = mx + 3 does not meet the circle with equation x2 + y2 – 2x – 1 = 0.
Q2)
Given that A
Q3)
(i)
1 1 2 1 2 0 , B and C , 4 5 1 0 1 0 find the matrix P such that APB C .
(iii)
Show that the matrix P is singular.
Solve the simultaneous equations 2x 3y 6
2 x 1 Q4)
Q5)
Q6)
2
6 y 2 49 2
Find the values of k for which the following simultaneous equation have no solution 2 x − 3ky = 1 4 x + ( k + 2) y = 5 3 2 , write down the expression for the inverse If M denotes the matrix p 4 matrix M −1 and hence find the solution set of the simultaneous equation 3 x + 2y = 2 px + 4 y = q when p = q = 5 . 5 4 . Hence, determine the coordinates Find the inverse of the matrix −1 2 of the point of intersection of the lines 5x + 4y = 6 and 2y – x = 24.
© Jason Ingham 2009
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