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Q) If the median of the following frequency distribution is 32.5 and sum of all frequencies is 40, then find the values of f1 and f2: (Q 35 B – 30/5/2 – CBSE 2026 Question Paper) Ans: Step 1: Given that the total of frequencies = 40 ∴ 32 + f1 + f2 = 40 ∴ f1 + […]
Q) Elevated water storage tanks are built to store and supply water to nearby colonies. In the diagram given above, AB is an elevated water tank and CD is a nearby multistorey building. The building is 54 metres away from the water tank.serve the diagram and based on above information, answer the following questions: From
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 2 – 0.025 x + 136 Observe the diagram and based on above information,
Q) A wall mounted lamp, made of fabric, is shown below. Lamp has cuboidal shape, open from top and bottom. A spherical bulb of diameter 7 cm is latched with a very thin rod. (Ignore the rod while making calculations.) Dimensions of the cuboid are 24cm x 12cm x 17cm(i) Find the surface area of
Q) Prove that 2 + 3√5 is an irrational number given that √5 is an irrational number. (Q 21 A – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start by considering (2 + 3√5) is a rational number (by the method of contradiction) If (2 + 3√5) is a rational number, then it
21 a. Prove that 2 + 3√5 is an irrational number given that √5 is an irrational number. Read More »
Q) If the HCF of 210 and 55 is expressed as 210 × 5 + 55m, then find the value of m. (Q 21 B – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: By prime factorisation: 210 = 2 x 3 x 5 x 7 55 = 5 x 11 ∴ HCF of
21 b. If the HCF of 210 and 55 is expressed as 210 × 5 + 55m, then find the value of m. Read More »
Q) In the given figure, DE ∥ AC and DF ∥ AE. Prove that : BF/FE = BE/EC. (Q 22 – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s compare Δ ABE and Δ DBF Here, ∠ BDF = ∠ BAE (∵ DF ǁ AE) ∠ B = ∠ B (common angle) By
22. In the given figure, DE ∥ AC and DF ∥ AE. Prove that : BF/FE = BE/EC. Read More »
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) Prove that : √[(1 + sin A)/(1−sin A)] = sec A + tan A. (Q 25 A – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Let’s start solving LHS: LHS = Here we have (1 – sin A) in the denominator. To nullify this, we need to multiply & divide by its
25 a. Prove that : √[(1 + sin A)/(1−sin A)] = sec A + tan A. Read More »