# Category Archives: School Learning

Triangles are three-sided polygon which have three vertices. Basic construction techniques allow us to construct triangles. An important property of the triangle is that sumâ€¦ Read More
A circle is a collection of all the points in a plane that are at a constant distance from a particular point. This distance isâ€¦ Read More
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 itâ€¦ Read More
Question 1: In Î”ABC, if âˆ A = 40Â° and âˆ B = 60Â°. Determine the longest and shortest sides of the triangle. Solution: Given that inâ€¦ 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 + xâ€¦ Read More
Question 1: Find the magnitude of the vector . Solution: Magnitude of a vector  => =>  =>  => Question 2: Find the unit vector in theâ€¦ 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 segmentâ€¦ 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 orâ€¦ 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. Asâ€¦ 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. Whenâ€¦ 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 canâ€¦ 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,â€¦ Read More
Question 27. If y = [log{x+(âˆšx2+1)}]2, show that (1 + x2)(d2y/dx2) + x(dy/dx) = 2. Solution: We have, y = [log{x + (âˆšx2 + 1)}]2â€¦ 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 bothâ€¦ 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 theâ€¦ Read More