Sid Classes

# DPP -1

1. How many solutions does the pair of equations y = 0 and y = -5 have?
2. If ax + by = a2 – b2 and bx + ay = 0, find the value of (x + y).
3. For what value of k, the pair of equations 4x – 3y = 9, 2x + ky = 11 has no solution?
4. Calculate the area bounded by the line x + y = 10 and both the co-ordinate axes.
5. Find whether the following pair of linear equations is consistent or inconsistent:
3x + 2y = 8   ; 6x – 4y = 9

6. Check graphically whether the pair of equations 3x – 2y + 2 = 0 and 32x – y + 3 = 0, is              consistent. Also find the coordinates of the points where the graphs of the equations                 meet the Y-axis.

7 . Draw the graph of
2y = 4x – 6; 2x = y + 3 and determine whether this system of linear equations has a                 unique solution or not.
8.Solve the following pair of equations for x and y:
a2xb2y = 0; a2bx+b2ay = a + b, x ≠ 0; y ≠ 0

9.Solve for x and y:
10x+y+2xy=4;15x+y5xy=2

10. Solve for x and y.
141x + 93y = 189;
93x + 141y = 45