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Q) Solve the following system of equations graphically: x – 2 y = 3, 3 x – 8 y = 7. (Q 32 B – 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s plot these lines on graph: First we calculate intersection points on both axes for 1st line: x – 2 y […]
Solve the following system of equations graphically: x – 2 y = 3, 3 x – 8 y = 7. Read More »
Q) Five years ago, Adil was thrice as old as Bharat. Ten years later Adil shall be twice as old as Bharat. To know the present ages of Adil and Bharat:(i) form the linear equations representing the above information.(ii) show that the system of equations is consistent with unique solution.(iii) find the present ages of
Q) Represent the following pair of linear equations graphically and hence comment on the condition of consistency of this pair: x – 5 y = 6; 2 x – 10 y = 12. (Q 33 – 30/2/2 – CBSE 2026 Question Paper) Ans: We are given following two equations:Â 1. x – 5 y = 62.
Q) Aarush bought 2 pencils and 3 chocolates for Rs. 11 and Tanish bought 1 pencil and 2 chocolates for Rs. 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically. (Q 33 – 30/2/2 – CBSE 2026
Q) A fraction becomes when 2 is subtracted from the numerator and it becomes when 1 is subtracted from the denominator- Find the fraction. Ans: Step 1: Let’s consider the fraction be Step 2: By 1st condition 1: “When 2 is subtracted from the numerator, the fraction becomes “ ∴ ∴ 3 (x – 2)
Q) Solve the following system of equations graphically: x – y + 2 = 0 and 4 x – y – 4 = 0. Calculate the area of the triangle formed by the lines so drawn and x – axis. (Q 34 – 30/1/3 – CBSE 2026 Question Paper) Ans: Part 1: Solving the linear equations:
Q) At present, Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the sum of their present ages. Ans: METHOD 1 (ONE VARIABLE) Let’s consider
Q) Solve the following system of equations graphically: 2x + y = 6 and 2 x – y – 2 = 0. Find the area of the triangle so formed by two lines and x axis Q31 B – Sample Question Paper – Maths Standard – CBSE 2026 Ans: Part 1: Solving the linear equations: Step 1:
Q) Five years hence, fathers age will be three times the age of son. Five years ago, father was seven times as old as his son. Find their present ages. Q31 C – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: Let’s consider the father’s age is X and son’s
Q) The monthly income of Aryan and Babban are in the ratio 3:4 and their monthly expenditures are in ratio 5:7. If each saves ₹ 15,000 per month, find their monthly incomes. Q31 A – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: Let the income of Aryan and Babban