Equation of a Circle when the Center of Circle Coincides with the Origin In this tutorial we will learn, equation of a circle when the center of circle coincides with the origin with examples. Equation of a circle with center at (h, k) and radius equal to r, is (x – h)² + (y – […]
Read More →Right Angle Triangle – Definition – Formula – Properties What is a Right Angle Triangle? A right angle triangle is a type of triangle. A right angle triangle plays an important role in trigonometry. A triangle in which one of the interior angle is 90º or a right angle is a right triangle. Right Triangle […]
Read More →Right Angle – Definition, Example and Properties What is a right angle? When two straight lines are perpendicular to each other or intersect at 90º, they form a right angle. A right angle is represented by the symbol L. In our daily life we can see many real-life examples of the right angles. We can […]
Read More →Given: Two triangles △ ABC and △ ABD are on same base (or equal bases) AB, and area of △ ABC and △ ABD are equal. Proof: CD ∥ AB Construction: Draw CE and DF perpendicular to AB.So DF is the height of △ ADB, and CE is the height of △ABC. CE perpendicular to AB and DF perpendicular to AB.Since, lines perpendicular to same line […]
Read More →Converse of Pythagorean Theorem In this section we are going to see the converse of Pythagorean theorem. We know the Pythagorean theorem applies to right triangles and states that, The square of the length of the hypotenuse, equals the sum of the squares of the lengths of the other two sides. (hypotenuse)2 = (Base)2+(Perpendicular)2 […]
Read More →Type of Bar Graphs In this lesson, we will learn about bar graph or bar chart. We also focus on the different type of bar graphs, definition of bar graph how to create bar graphs. A graphical representation of data, in which bars show comparisons between categories of data.A […]
Read More →Theorem The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB Both angles are 900. To prove: AC = CB (C is the mid point of chord AB) […]
Read More →The tangent at any point of a circle is perpendicular to the radius through the point of contact. Given: A circle with center O, and a tangent XY to the circle at a point P. Prove: OP ⟂ XY Proof : Let Q be any point on XY other than P and join OQ. The […]
Read More →Histogram A histogram is from of graphical representation of grouped frequency distribution with continuous classes. In a histogram data represents like the bar graph, but it there is no gap between rectangular bars. The rectangular bars show the area of proportional to the corresponding frequency of a variable and the width of the bars represents […]
Read More →The line drawn through the center of a circle to bisect a chord is perpendicular to the chord. Given: A circle with center O, AB is chord of a circle and OC bisect chord at C. i,e. AC = CB. To prove: OC ⊥ AB Construction: join OA and OB. Proof: In △ OCA and △ OCB OA = OB (Radius […]
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