## Important Questions for Class 10 Maths Pair of Linear Equations in Two Variables

- For what value of k the lines 5x + 7y = 3 and 15x + 21y = k coincide?

2. How many solutions the pair of equations y = 0 and y = -7 has?

3. Which types of lines, the pair of equation x = a and y = b represent?

4. Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A?

5. If 217 x + 131 y = 913, 131 x + 217 y = 827, then find x + y.

6. If bx â€“ ay = a + b and ax + by = a â€“ b, then find the value of x/y.

7. A fraction becomes 9/11 ,if 2 is added to both numerator and denominator. If 3 is added to both numerator and denominator, it becomes Â½. Find the fraction.

8. The sum of a 2 digit number and the number obtained by reversing the digits is 66. If the digits of the numbers differ by 2; find the number. How many such numbers are there?

9. For what values of k will the following pair of linear equations given below has infinitely many solutions? Kx+3y-(k-3) =0 , 12x+ky-k=0

10. The area of rectangle gets reduced by 9 sq. units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase length by 3 units and breadth by 2 units the area increases by 67 sq. units. Find the dimensions of the rectangle.

11. Solve the following equation-

px + qy = p-q ; qx â€“ py = p+q

12. The angles of a triangle are x, y and 40^{0}.The difference between the two angles x and y is 30^{0}. Find x and y.

13. Solve the given system of equations by elimination method method

x + y = a + b ; ax â€“ by = a^{2} â€“ b^{2}

14. The sum of a two digit number and the number formed by interchanging the digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits of the first no. Find the first number.

15. The monthly income of A and B are in the ratio of 9: 7. If their monthly expenditures are in the ratio 4:3. If each saves Rs 1600 per month. Find the monthly incomes of each?

16. Fatherâ€™s age is 3 times the sum of ages of two children. After 5 years his age will be twice the sum of age of two children. Find the age of the father.

17. A sailor goes 8 km downstream in 40 minutes and return in 1 hour. Find the speed of the sailor in still water and the speed of the current.

18. Solve 2x + y = 6 and 2x â€“ y + 2 =0 graphically. Also find the area of the triangular region bounded by these lines and the x axis.

**Direction for following questions: **A statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.

- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.

**19. Assertion (A): The solution of the pair of linear equations x + y = 5 and 2x â€“ 3y = 4 is x = 19/5 and y = 6/5**

**Reason ( R ) : The solution of the pair of linear equations 3x + 4y = 10 and 2x â€“ 2y = 2 is x = 2 and y = 1**

**20. Assertion (A): The value of q = **+**-2 if x = 3, y = 1 is the solution of the line 2x + y â€“ q ^{2} â€“ 3 = 0.**

** Reason ( R ) : The solution of the line will satisfy the equation of the line.**

Ncert Solutions Class 10 Maths Exercise 1.1 https://10thmathsguide.com/exercise-11-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 1.2

Ncert Solutions Class 10 Maths Exercise 2.1 https://10thmathsguide.com/exercise-21-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 2.2

Ncert Solutions Class 10 Maths Exercise 3.1 https://10thmathsguide.com/exercise-31-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.2 https://10thmathsguide.com/exercise-32-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.3 https://10thmathsguide.com/exercise-33-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.1 https://10thmathsguide.com/exercise-41-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.2 https://10thmathsguide.com/exercise-42-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.3 https://10thmathsguide.com/exercise-43-class-10-maths/

MCQ VIDEOS ALL CHAPTERS CLASS 10 MATHShttps://www.youtube.com/watch?v=-eBlHyBxjLg&list=PL2uPMjJCHErQZZNipbsnagBqPrCU_WRN8

**MCQ Questions for Class 10 Maths all Chapters****https://sharmatutorial.in/category/mcq-class-10-maths/**

Important Questions for Class 10 Maths Pair of Linear Equations in Two Variables

Important Questions for Class 10 Maths Pair of Linear Equations in Two Variables

Important Questions for Class 10 Maths Pair of Linear Equations in Two Variables

Important Questions for Class 10 Maths Pair of Linear Equations in Two Variables

Important Questions for Class 10 Maths Pair of Linear Equations in Two Variables

Important Questions for Class 10 Maths Pair of Linear Equations in Two Variables