# Category Archives: School Learning

In each of the following, give the justification of the construction also: Question 1. Draw a line segment of length 7.6 cm and divide it… Read More
Question 1: In ΔABC, if ∠A = 40° and ∠B = 60°. Determine the longest and shortest sides of the triangle. Solution: Given that in… Read More
Question 1. Determine which of the following polynomials has (x + 1) as a factor: (i) x3+x2+x+1 Solution: p(x) = x3 + x2 + x… Read More
Question 1: Find the magnitude of the vector . Solution: Magnitude of a vector  => =>  =>  => Question 2: Find the unit vector in the… Read More
Question 11: Find the position vector of the mid-point of the vector joining the points P() and Q(). Solution: The mid-point of the line segment… Read More
Mirrors are the surfaces that reflect almost all types of incident light rays that hit their surface. The mirror can have either a plane or… Read More
Acceleration due to gravity (or acceleration of gravity) or gravity acceleration is the acceleration caused by the gravitational force of attraction of large bodies. As… Read More
During thunderstorms, air currents move upwards and water droplets move down. This causes the separation of charges between clouds and between clouds and earth. When… Read More
Linear programming is the simplest way of optimizing a problem. Through this method, we can formulate a real-world problem into a mathematical model. We can… Read More
The average rate of change represents the total change in one variable in relation to the total change of another variable. Instantaneous rate of change,… Read More
Question 27. If y = [log{x+(√x2+1)}]2, show that (1 + x2)(d2y/dx2) + x(dy/dx) = 2. Solution: We have, y = [log{x + (√x2 + 1)}]2… Read More
Find the second order derivative of following function Question 1(i).  x3 + tanx Solution: Let us considered f(x) = x3 + tanx On differentiating both… Read More
In mathematics, a parabola is the locus of a point that moves in a plane where its distance from a fixed point known as the… Read More
Geometry word comes from “Geo” which means earth and “metering” which means to measure. It appears that geometry originated from the need to measure land.… Read More
In mathematics, a circle is a shape that contains all the points in the plane and these points are equidistant from the given point. This… Read More