Mathematics

Trigonometric Ratios Of Some Specific AnglesThe angles 0°, 30°, 45°, 60°, 90° are angles for which we have values of T.R.θ0°30°45°60°90°Sin01/21/√2 √3/21Cos1 √3/2 1/√21/20Tan0 1/√31√3∞Cosec∞2√22/√31Sec12/√3 √22∞Cot∞√311/√30Trigonometric…

Section FormulaLet A and B be two points in the plane of the paper as shown in fig. and P be a point on the segment joining A and B such that AP : BP = m : n. Then, the point P divides segment AB internally in the ratio m : n. If P is a…

How To Construct A Tangent To A Circle From An External PointSteps of construction 1. Take given circle and a point P outside the circle. O is centre of the circle. 2. Joint OP. 3. Bisect OP and get its mid-point M. 4. Draw circle with…

How To Construct A Tangent To A Circle From An External PointSteps of construction 1. Take given circle and a point P outside the circle. O is centre of the circle. 2. Joint OP. 3. Bisect OP and get its mid-point M. 4. Draw circle with…

Construction Of An Angle Using Compass And RulerTo draw an angle equal to a given angleIn this section, we will learn how to construct angles of 60º, 30º, 90º, 45º and 120º with the help of ruler and compasses only.Construction Of Some…

Area Of A TriangleThe area of a triangle, the coordinates of whose vertices are (x1, y1), (x2, y2) and (x3, y3) is (frac { 1 }{ 2 }) | x1 (y2 – y3) + x2 (y3 – y1) + x3 (y1 – y2) | Remark: The area of ∆ABC can also be computed by using the…

Representing Irrational Numbers On The Number LineRepresent  √2 & √3 on the number line:Greeks discovered this method. Consider a unit square OABC, with each side 1 unit in lenght. Then by using pythagoras theorem…

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 :…

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 :…

Solution Of A Linear Equation In Two Variables Example Problems With SolutionsMethod: 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…