Linear Equations in Two Variables | Assignment & Case Studies | Class X

BCM ARYA SCHOOL,LALTON ,LUDHIANA
ASSIGNMENT OF TOPIC– LINEAREQUATION IN TWO VARIABLES
CLASS-X
1. A pair of linear equations a1x + b1y + c1 = 0; a2 x + b2 y + c2 = 0 is said to be inconsistent, if




2. Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are
(a) intersecting at one point (b) parallel
(c) intersecting at two points (d) coincident
3. The pair of equations 3x – 5y = 7nd
a – 6x + 10y = 7 have
(a) a unique solution (b) infinitely many solutions
(c) no solution (d) two solutions
4.If a pair of linear equations is consistent, then the lines will be
(a) always coincident (b) parallel
(c) always intersecting (d) intersecting or coincident
5. The pair of equation x = – 4 and y = – 5 graphically represents lines which are
(a) intersecting at (- 5, – 4) (b) intersecting at (- 4, – 5)
(c) intersecting at (5, 4) (d) intersecting at (4, 5)
6. For what value of k, do the equations 2x – 3y + 10 = 0 and 3x + ky + 15 = 0 represent coincident lines




7. If the lines given by 2x + ky = 1 and 3x – 5y = 7 are parallel, then the value of k is




8. If x = a, y= b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are
respectively
(a) 6, -1 (b) 2, 3 (c) 1, 4 (d) 19/5, 6/5

9. Two equations in two variables taken together are called
(a) linear equations (b) quadratic equations
(c) simultaneous equations (d) none of these
10.The graph of the equation 2x + 3y = 5 is a
(a) vertical line (b) straight line (c) horizontal line (d) none of these
11.The value of k, for which the syste
m of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k – 1 has
infinitely many solutions is