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Q). A person on a tour has Rs. 4,200 for expenses. If he extends his tour for 3 days, he has to cut down his daily expenses by Rs. 70. Find the original duration of the tour. (Q 33 A – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let the original duration of […]
quadratic
Q) If α, ẞ are the zeroes of the quadratic polynomial p x  2 + qx + r then find the value of α 3 β + β 3 α. (Q 21 – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let’s compare the given polynomial with standard quadratic polynomial, a x 2 + b x + c here,
Q) Find the value of p, for which one zero of the quadratic polynomial p x 2 – 14 x + 8 is 6 times the other. (Q 24 – 30/2/2 – CBSE 2026 Question Paper) Ans: Step 1: Let the roots be α and β. It is given that one zero is 6 times the
Q) In a flight of 600 km, an aircraft slowed down its speed due to bad weather. Its average speed for the trip reduced by 200 km/h from its usual speed and time of flight increased by 30 minutes. Find the scheduled duration of the flight. (Q 34 A – 30/2/2 – CBSE 2026 Question
Q) Two pipes are used to fill a swimming pool. If the pipe of the larger diameter is used for 4 hours and the pipe of the smaller diameter for 9 hours, only half of the pool can be filled. Find how long it would take for each pipe to fill the pool, separately, if
Q). The sum of the areas of two squares is 640 m2. If the difference of their perimeters is 64 m, find the sides of the two squares. (Q 35 B – 30/1/3 – CBSE 2026 Question Paper) Ans: Let’s consider that the side of a square is X m and the side of the
Q)Â A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of the slower train is 10 km/hr less than that of the faster train, find the speeds of the two trains. (Q 35 A – 30/1/3 – CBSE 2026 Question Paper) Ans:Â Step 1: Let’s
Q) Find the zeroes of the quadratic polynomial 2 x2 – (1 + 2√2) x + √2 and verify the relationship between zeroes and coefficients of the polynomial. Q28 – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026 Ans: (i) In the given polynomial equation, to find zeroes, we will start with
Q. A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed? Q32 – Sample Question
Q) Find the value(s) of p for which the quadratic equation given as (p + 4) x2Â – (p + 1) x + 1 = 0 has real and equal roots. Also, find the roots of the equation(s) so obtained. PYQ: 32 (b) – CBSE 2025 – Code 30 – Series 5 – Set 1 Ans: