# Category Archives: School Learning

In Geometry, 3D shapes are known as three-dimensional shapes or solids, or solid shapes. 3D shapes or solid shapes have three different measures such as… Read More
In mathematics, the slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the… Read More
Mensuration is the branch of mathematics that deals with the study of different geometrical shapes and their areas. It uses geometric calculations and algebraic equations… Read More
Any plane or any shape has two measurements like length and width, that is why it is called a two-dimensional(2D) object. Circle, square, triangles, rectangles,… Read More
Factorize each of the following expressions: Question 1. p3+27 Solution: ⇒ p3+33 ⇒(p+3)(p2-3p-9)                        … Read More
Question 1: Determine whether or not each of the definition of ∗ given below gives a binary operation. In the event that ∗ is not… Read More
Question 1. A cuboidal water tank is 6 m long, 5 m wide, and 4.5 m deep. How many liters of water can it hold?… Read More
Question 1. Evaluate the following: i) 14C3 Solution: We know that    nCr=n!/(n-r)!r! =>14C3=14!/(14-3)!3!             =14!/11!3!        … Read More
Question 1. Find the vector equation of the plane passing through the points (1, 1, 1), (1, -1, 1) and (-7, -3, -5) Solution: Given… Read More
Factorize each of the following expressions: Question 13. 8x2y3-x5 Solution: ⇒ x2((2y)3 – x3) ⇒ x2(2y-x)((2y)2+2xy+x2)                  … Read More
Question 1. Show that the points A, B, C with position vectors  and  are collinear. Solution:  Given that,  Position vector of   Position vector of  Position vector of … Read More
Find  of the following: Question 1. 2x + 3y = sin x Solution: On differentiating both sides w.r.t. x, we get 2 + 3  = cos x… Read More
Question 1. Find the area of a triangle whose sides are respectively 150 cm, 120 cm and 200 cm. Solution: By Heron’s formula, we have, Area… Read More
Question 1. Calculate the mean deviation from the median of the following frequency distribution: Heights in inches 58 59 60 61 62 63 64 65 66… Read More
Question 1. Compute the mean deviation from the median of the following distribution: Class 0-10 10-20 20-30 30-40 40-50 Frequency 5 10 20 5 10… Read More