Pair of linear equations - Class 10 Maths(MCQ) online test

Pair of linear equations - Class 10 Maths(MCQ) online test

i5 academy class 10 - Maths MCQ

Quiz

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1. Graphically the pair of linear eqautions 6x-3y+10=0 and 2x-y+9=0 represents two lines , which are
   1.   Intersecting at one point
   2.   Intersecting at two points
   3.   coincident
   4.   parallel
2. The pair of equations x+2y+5=0 and -3x-6y+1=0 have
   1.   a unique solution
   2.   exactly two solutions
   3.   infinitely many solutions
   4.   no solution
3. If x =a and y=bis the solution of the equation x - y =2 and x + y + 4 =0 then the value of a and b are
   1.   3 and 1
   2.   1 and 3
   3.   3 and 2
   4.   -1 and -3
4. If a pair of linear equations is consistent ,then the lins will be
   1.   parallel
   2.   always consistent
   3.   intersecting or coincident
   4.   always intersecting
5. The pair of linear equation x + 2y + 5 =0 and 2x+4y +10 has
   1.   a unique solution
   2.   no solution
   3.   infinitely many
   4.   None of the above
6. The pair of equations y=0 and y=-7 has
   1.   one solutions
   2.   two solutions
   3.   infinitely many
   4.   no solutions
7. The pair of linear equations x + 2y + 5=0 and -3x -6y + 1=0 has
   1.   eactly two solutions
   2.   a unique solutions
   3.   infinitely many solutions
   4.   none of the above
8. The pair of equations x =a and y=b graphically represents lines which are
   1.   parallel
   2.   intersecting at ( b , a)
   3.   coincident
   4.   intersecting at ( a, b )
9. A pair of linear equaions which has a unique solution x =2 , y= -3 is
   1.   x-4y-14=0 and 5x-y-13=0
   2.   2x+5y=-11 and 4x+10y=-22
   3.   x + y =-1 and 2 x-3y = -5
   4.   2x -y = 1 and 3x + 2y = 0
10. For what value of k , do the equations 3x - y + 8=0 and 6x -ky=-16 represent coincide lines?
    1.   1/2
    2.   -1/2
    3.   2
    4.   -2
11. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 =0 are parallel , then the value of k is
    1.   -5/4
    2.   2/5
    3.   15/4
    4.   3/2
12. The value of ' c ' for which the pair of eqations cx - y =2 and 6x -2y =3 will have infinitely many solutions is
    1.   13
    2.   2/5
    3.   15/4
    4.   3/2
13. One equation of a pair of dependent linear equation is -5x + 7y = 2 . The second equation can be
    1.   10x + 14y + 4=0
    2.   -10x +14y + 4=0
    3.   -10x -14y +4=0
    4.   10x-14y=-4
14. The father's age is six times his son's age .Four years hence , the age of the father will be four times his son's age . The present age of the son and the father , in years are respectively
    1.   4 and 24
    2.   5 and 25
    3.   6 and 36
    4.   8 and 26
15. The angles of a triangle are x , y and 40 degree . The difference between the two angles x and y is 30 degree. The x and y are
    1.   65 , 75
    2.   50 , 90
    3.   55 , 85
    4.   45 , 85
16. Mohan has only Rs 1 and Rs 2 coins with him .If thr total number of coins that he has is 50 and the amount of money with him is Rs 75, then the number of Rs 1 and Rs 2 are respectively
    1.   25 and 25
    2.   35 and 35
    3.   15 and 25
    4.   35 and 15
17. The value of k foe which the system of equations x + y -4 =0 and 2x + k y =3 has no solution is ,
    1.   -2
    2.   not equal to 2
    3.   3
    4.   2
18. The value of k for which the system of linear equations x + 2y =3 and 5x + ky + 7=0 isinconsistent is
    1.   -14/3
    2.   2/5
    3.   5
    4.   10
19. find x and y x + y =14 , x -y = 4
    1.   9 and 5
    2.   5 and 9
    3.   4 and 4
    4.   3 and 4
20. The solution of the linear equation is x + 2y = 2 and x -3y = 7 is
    1.   4 and 1
    2.   -4 and 1
    3.   4 and -1
    4.   -4 and -1