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Category Archives: School Learning

Question 1. Two circles of radii 5cm and 3cm intersect at two points and the distance between their centers is 4 cm. Find the length… Read More
Question 1. lim x → 1 (x2+1)/(x+1) Solution:  Using direct substitution method we get, lim x → 1 (x2+1)/(x+1) = (12+1)/(1+1) = 2/2 = 1… Read More
Making use of the cube root table, find the cube root of the following (correct to three decimal places) : Question 1.  7 Solution:  We… Read More
Question 1. Which of the following are quadratic equations? (i) x2 + 6x – 4 = 0 Solution: As we know that, quadratic equation is… Read More
Question 1. Evaluate: Solution: (i) 3–2  3-2 =                 (Property used: a-n = ) (ii) (– 4)– 2  (-4)-2 =    … Read More
Question 1. The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of… Read More
Problem 1. Multiply the binomials. Solution: When we multiply two binomials, four multiplications must take place. These multiplications can be in any order, although we… Read More
Question 1. Construct an angle of 90° at the initial point of a given ray and justify the construction. Solution: Steps of construction Take a… Read More
Question 1. Construct a ∆ ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm. Solution: Steps of… Read More
Question 1. If nC8=nC2, find nC2. Solution:  We know that, nCr=nC(n-r) For the given question, r=8 and n-r=2 Hence, n=r+(n-r)=8+2=10 OR Using formula (1), nC8=nC(n-r) 8(n-8)=2(n-2) … Read More
Question 1: A wooden bookshelf has external dimensions as follows: Height = 110cm, Depth = 25cm, Breadth = 85cm (see fig. 13.31). The thickness of… Read More
Question 1. Which of the following are examples of empty set? (i) Set of all even natural numbers divisible by 5. (ii) Set of all… Read More

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