# Category Archives: School Learning

Question 1: Find the value of x for which (8x + 4), (6x – 2) and (2x + 7) are in A.P. Solution: Since (8x… Read More
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: Given A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, find (A × B) ∩ (B × C).… Read More
Chapter 12 Percentage – Exercise 12.2 | Set 1 Question 14. An alloy of tin and copper consists of 15 parts of tin and 105… Read More
Question 1. Find:(i) 22% of 120(ii) 25% of Rs 1000(iii) 25% of 10 kg(iv) 16.5% of 5000 meter(v) 135% of 80 cm(vi) 2.5% of 10000… Read More