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Class 10 Mathematics: Pair of Linear Equations in Two Variables
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Avg score: 17% • Most missed: “The lines 2x+5y=17 and 5x+3y=14 are consistent.”

MCQs on two linear equations in two variables solutions in different methods.

Class 10 Mathematics: Pair of Linear Equations in Two Variables
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14 Questions

1. A father gives Rs. 500 to his children every month. If the boy gets Rs. 100 then, the girl gets Rs. 200 and if the boy gets Rs. 100 the girl gets Rs. 150. How many children does he have?
2. The lines 2x+5y=17 and 5x+3y=14 are consistent.
3. What will be the nature of the graph lines of the equations 5x-2y+9 and 15x-6y+1?
4. What will be the value of k, if the lines given by x+ky+3 and 2x+(k+2)y+6 are coincident?
5. What will be the value of k, if the lines given by 3x+ky-4 and 5x+(9+k)y+41 represent two lines intersecting at a point?
6. 10 years ago, a woman was thrice the age of her daughter. Two years later her daughter's age will be 30 more than the age of the mother. What are the present ages of the woman and the daughter?
7. The sum of two numbers is 13 and the sum of their reciprocals is \(\frac {13}{40}\). What are the two numbers?
8. The sum of two numbers is 13 and the sum of their reciprocals is \(\frac {13}{40}\). What are the two numbers?
9. What will be the value of k, if the lines given by (5+k)x-3y+15 and (k-1)x-y+19 are parallel?
10. In a piggy bank the total number of coins of Rs. 5 and Rs. 1 is 100. If the total coins amount is 300, then what is the number of coins of each denomination?
11. The lines 5x-7y=13 and 10x-14y=15 are inconsistent.
12. What will be the nature of the graph lines of the equations x+3y-2 and 2x-y+5?
13. 10 years ago, a woman was thrice the age of her daughter. Two years later her daughter's age will be 30 more than the age of the mother. What are the present ages of the woman and the daughter?
14. In a piggy bank the total number of coins of Rs. 5 and Rs. 1 is 100. If the total coins amount is 300, then what is the number of coins of each denomination?

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