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Q) During a theatre drama, a backdrop of building arches was used. The shape of the curve shown below can be represented by the polynomial p(x) = – x2 + 2x + 8, where x is the length (in feet) on stage level. Based on the figure given above, answer the following questions:(i) Determine the […]
polynomials
Q) If α, β are the zeroes of the polynomial p(x) = x^2 − 3x − 1, then find the value of 1/α +1/β. (Q21 – 30/1/1 – CBSE 2026 Question Paper) Ans:     Step 1: Given polynomial, p (x) = x 2 – 3 x – 1 For p (x) = 0, x 2
Q) Find a quadratic polynomial whose zeroes are (5-2√3) and (5+2√3). (Q24 – 30/1/3 – CBSE 2026 Question Paper) Ans: Step 1: The zeroes for the polynomial given as (5 – 2√3) and (5 + 2√3): Let’s consider, one root, α = (5 – 2√3) and other root, β = (5 + 2√3) Step 2: Sum
Find a quadratic polynomial whose zeroes are (5-2√3) and (5+2√3). Read More »
Q). The length of hypotenuse (in cm) of a right-angled triangle is 6 cm more than twice the length of its shortest side. If the length of its third side is 6 cm less than thrice the length of its shortest side, find the dimensions of the triangle. (Q 35 B – 30/2/3 – CBSE
Q). In a class test, the sum of Anamika’s marks obtained in Maths and Science is 30. Had she got 2 marks more in Maths and 3 marks less in Science, the product of the marks would have been 210. Find the marks she got in the two subjects. (Q 35 A – 30/2/3 –
Q). The area of a right-angled triangle is 600 cm². If the base of the triangle exceeds the altitude by 10 cm, find all the three dimensions of the triangle. (Q 33 B – 30/2/1 – CBSE 2026 Question Paper) Ans: Step 1: Let’s consider the Alttitude of the triangle is A By given condition,
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