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10th Pair of Linear Equations in two variables MCQ for Board exam

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1. The number of solutions of the pair of linear equations x + 2y – 8 = 0 and 2x + 4y = 16 is :
(a) 0 (b) 1 (c) infinitely many (d) none of these
2. The graphical representation of the pair of equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0 represents
(a) intersecting lines (b) parallel lines (c) coincident lines (d) all of these
3. If a pair of linear equations is consistent, then the lines will be :
(a) parallel (b) always coincident (c) intersecting or coincident (d) always intersecting
4. The condition so that the pair of linear equations kx + 3y + 1 = 0, 2x + y + 3 = 0 has exactly one solution is :
(a) k = 6 (b) k ≠ 6 (c) k = 3 (d) k ≠ 3
5. The lines representing the linear equations 2x – y = 3 and 4x – y = 5 :
(a) intersect at a point   (b) are parallel (c) are coincident (d) intersect at exactly two points
6. The pair of linear equations 2x + 5y = –11 and 5x + 15y = –44 has :
(a) many solutions (b) no solution (c) one solution (d) two solutions
7. The pair of equations y = 0 and y = –7 has :
(a) one solution (b) two solutions (c) infinitely many solutions (d) no solution
8. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is :
(a) –5/4 (b) 2/5 (c) 15/4 (d) 3/2
9. The pair of linear equations 8x – 5y = 7 and 5x – 8y = –7 have :
(a) one solution (b) two solutions (c) no solution (d) many solutions
10. The pair of linear equations x – 2y = 0 and 3x + 4y = 20 have :
(a) one solution (b) two solutions (c) many solutions (d) no solution
11. The pair of linear equations kx + 2y = 5 and 3x + y = 1 has unique solution, if :
(a) k = 6 (b) k ≠ 6 (c) k = 0 (d) k has any value
12. One equation of a pair of dependent linear equations is –5x + 7y = 2, the second equation can be :
 (a) 10x + 14y + 4 = 0 (b) –10x = 14y + 4 – 0 (c) –10x + 14y + 4 = 0 (d) 10x – 14y = –4
13. The value of k for which the pair of equations : kx – y = 2 and 6x – 2y = 3 has a unique solution is
(a) k = 3 (b) k ≠ 3 (c) k ≠ 0 (d) k = 0
14. The value of k for which the pair of linear equations 4x + 6y – 1 = 0 and 2x + ky – 7 = 0 represents parallel lines is :
(a) k = 3 (b) k = 2 (c) k = 4 (d) k = –2
15. If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values  of  a  and  b  respectively  are
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  1. UnknownSeptember 17, 2012

    The linear equations can be solved by many methods but graphical method is the best way to solve them.
    exponential growth is also one of the most interesting topic like linear equations.

    ReplyDelete

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