Pair of Linear Equations in Two Variables

CBSE Class 10 Mathematics · every board question from this chapter, 2025–2025 · 11 of them repeated across years

• The system of equations x+5=0 and 2 x-1=0, has2025
• If x=1 and y=2 is a solution of the pair of linear equations 2 x-3 y+a=0 and 2 x+3 y-b=0, then:2025asked 3×
• The value of'k'for which the system of linear equations 6 x+y=3k and 36 x+6 y=3 have infinitely many solutions is:2025asked 2×
• The value of ' p ' for which the equations p x+3 y=p-3,12 x+p y=p has infinitely many solutions is:2025asked 3×
• A system of two linear equations in two variables is inconsistent, if the lines in the graph are:2025
• The system of equations y+a=0 and 2 x=b has2025
• The line represented by the equation x-y=0 is:2025asked 3×
• The system of equations 2 x+1=0 and 3 y-5=0 has2025
• Assertion: The pair of linear equations px + 3y + 59=0 and 2 x+6 y+118=0 will have infinitely many solutions if p=1. Reason (R):…2025asked 3×
• Solve the following pair of equations algebraically: OR In a pair of supplementary angles, the greater angle exceeds the smaller…2025asked 3×
• Solve the following system of equations algebraically: 30 x+44 y=10; 40 x+55 y=132025
• The cost of 2 kg apples and 1 kg of grapes on a day was found to be ₹ 320. The cost of 4 kg apples and 2 kg grapes was found to…2025asked 3×
• Solve the following system of equations algebraically: 37 x+63 y=137 63 x+37 y=1632025
• Solve the following system of equations algebraically: 73 x-37 y=109 37 x-73 y=12025
• Check whether the given system of equations is consistent or not. If consistent, solve graphically.2025
• The monthly incomes of two persons are in the ratio 9: 7 and their monthly expenditures are in the ratio 4: 3. If each saved ₹…2025
• Check whether the following pair of equations is consistent or not. If consistent, solve graphically2025
• Solve the following system of equations graphically: Also, find the absolute difference between the ordinates of the points where…2025
• The two angles of a right angled triangle other than 90° are in the ratio 2: 3. Express the given situation algebraically as a…2025
• Solve the following system of equations graphically: 2 x+y=5 and 4 x-y=7. Hence, write the coordinates of the points where given…2025
• Check whether the following system of equations is consistent or not. If consistent, solve graphically x-2 y+4=0,2 x-y-4=02025
• The perimeter of a rectangle is 70 cm. The length of the rectangle is 5 cm more than twice is breadth. Express the given…2025
• Solve the following system of equations graphically: Also, find the sum of ordinates of the points where given lines meet y axis.2025
• Vijay invested certain amounts of money in two schemes A and B, which offer interest at the rate of 8\% per annum and 9\% per…2025asked 2×
• A 2-digit number is seven times the sum of its digits and two (2) more than 5 times the product of its digits. Find the number.…2025asked 3×
• The sum of the areas of two squares is 52 cm^2 and difference of their perimeters is 8 cm. Find the lengths of the sides of the…2025asked 2×
• The students of a class are made to stand equally in rows. If 3 students are extra in each row, there would be 1 row less. If 3…2025
• A bag contains some red and blue balls. Ten percent of the red balls, when added to twenty percent of the blue balls, give a…2025
• A man lent a part of his money at 10\% p.a. and the rest at 15\% p.a. His income at the end of the year is ₹ 1,900. If he had…2025
• A two-digit number is such that the product of its digits is 12. When 36 is added to this number, the digits interchange their…2025
• The numerator of a fraction is 3 less than its denominator. If 2 is added to both numerator and denominator, then the sum of the…2025
• A school is organizing a grand cultural event to show the talent of its students. To accommodate the guests, the school plans to…2025asked 3×

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