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Q) By selling an article for Rs. 48, a trader loses as much percent as half of the cost price of the article. Calculate the cost price and loss amount of the article. (Q 32 – 30/5/2 – CBSE 2026 Question Paper) Ans: Let’s consider the cost price of the article is Rs. x ∴ […]
quadratic
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) A person on tour has Rs. 5,400 for his expenses. If he extends his tour by 5 days, he has to cut down his daily expenses by Rs.180. Find the original duration of the tour and daily expense. (Q 34A – 30/4/2 – CBSE 2026 Question Paper) Ans: Step 1: Let the original duration
Q) The total cost of certain piece of cloth was Rs. 2,100. During special sale time, the shopkeeper offered 2 m extra cloth for free thus reducing the price of cloth per metre by Rs. 120. What was the original per metre price of cloth and its length? (Q 34B – 30/4/2 – CBSE 2026
Q) Find two consecutive negative integers, sum of whose squares is 481. (Q 31 – 30/3/3 – CBSE 2026 Question Paper) Ans: Let’s consider the integers are n and (n + 1) (note: since these are consecutive, the difference will be 1) Step 1: Given condition is “Sum of whose squares is 481. ∴ n
31. Find two consecutive negative integers, sum of whose squares is 481. Read More »
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,