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Q) An arch of a railway bridge, built on Chenab riverbed, is shown in the above diagram. It is a parabolic arch connecting two hills at P and Q. If the parabolic curve is represented by the polynomial p(x)= – 0.0025 x 2Â – 0.025 x + 136 Observe the diagram and based on above information, […]
polynomials
Q) Verify that roots of the quadratic equation (p − q) x 2 + (q − r) x + (r − p) = 0 are equal when q + r = 2 p. (Q 23 – 30/4/2 – CBSE 2026 Question Paper) Ans: [Approach: We will calculate the value of D and if it is
Q) α, β are zeroes of the polynomial p(x) = 3 x 2 − 6x − 5. Find the value of 1/α 2 + 1/β 2. (Q 24 – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Given polynomial, p (x) = 3 x 2 – 6 x – 5 For p (x) = 0, 3 x
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
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
24. 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,