Solution Of A Linear Equation In Two Variables Example Problems With Solutions Method: Put the value of x (or y) = 0, ±1, ±2, ±3,……, we get values of y (or x). By this we can find many solutions of given equation.Read More: What is a Linear EquationLinea…

What is Euclid Division AlgorithmEuclid’s Division Lemma: For any two positive integers a and b, there exist unique integers q and r satisfying a = bq + r, where 0 ≤ r < b. For Example (i) Consider number 23 and 5, then: 23 = 5 × 4 + 3 Comparing with…

Construction Of Similar Triangle As Per Given Scale FactorScale factor means the ratio of the sides of the triangle to be constructed with the corresponding sides of the given triangle. This construction involves two different situations : (i) The trian…

Volume and Surface AreaVolumeVolume is the amount of three-dimensional space an object occupies, in cubic units, within a container. Volume and Unit Cubes: Volume is measured in cubic units. Think in three-dimensions. The volume of an object can be repre…

How do you find the Surface Area of a Sphere and a HemisphereLet radius of sphere = r. Then Surface area of a sphere = 4πr2Curved surface area of a hemisphere = 2πr2Total surface area of a hemisphere = 3πr2Volume of the sphere = \(\frac{4}{3}\pi {r^3}\)…

Calculating Rates“I am traveling at a high rate of speed!! I’m going 5m inches per minute where m equals 10!”So, at what rate of speed is this little bug actually traveling in his matchbox cruiser? Answer: 50 inches per minute A rate is a ratio that comp…

Heights And Distances Angle Of Elevation The angle of elevation of the point viewed is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level, i.e. the case when we raise our head to look at t…

Converting Between SystemsMost jobs require that you work in either English units or Metric units, but not both. It is necessary, however, on occasion to convert units from one system to another. Dimensional Analysis and Conversion Ratios:It is possible …

The Metric System of MeasurementThe Metric system of measurement was created about two hundred years ago by a group of French scientists to simplify measurement.In the metric system, each of the common kinds of measure — length, weight, capacity — has o…

Sum Of The First n Terms Of An Arithmetic Progression The sum of first n terms of an A.P. is given by Sn = n/2 [2a + (n – 1) d]         or       Sn = n/2 [a + Tn] Note: (i) If sum of n terms Sn is given then general term Tn = Sn – Sn-1 where Sn-1 is sum …