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 →Area of a Triangle In this lesson we will learn, how to calculate the area of a triangles with different formula’s. When given 1. The base and height of a triangle.2. Two sides and one angle.3. The length of three sides.4. An equilateral triangle. First we see about a triangle. A triangle is a simple […]
Read More →Abscissa – Definition and Example Definition: Abscissa is the value of the X coordinate on a coordinate plane. In a coordinate plane the abscissa is the X coordinate of a point. The Horizontal line is called the X axis, and abscissa is the value of the X axis on a coordinate plane. The distance of a point from the Y axis […]
Read More →Introduction Coordinate Geometry A Coordinate Geometry is a branch of geometry in which geometry is studied with the help of Algebra. In Coordinate Geometry we study the position of points on the plane is define, using an ordered pairs of numbers also known as coordinates. Coordinate Geometry is of two types 1. Two dimensional or Plane Coordinate Geometry […]
Read More →Circle – Area – Formula and Problems with Solutions Area of a circle is A = 𝝿r2 = 𝝿 (pi) x (radius)2 , where r is radius of the circle. or when we know the diameter A = (𝝿/4) x D2 when we know circumference A = c2/4𝝿 Let us now solve problems on area of a circle. Here […]
Read More →Exterior Angle of a Triangle If any side of a triangle is extended then the exterior angle of triangle is equal to the sum of its interior opposite angles. Given : A △ABC, side BC of △ABC is extended, ∠ACD is an exterior angle. To Prove : The sum of measure of exterior angle of triangle is equal to the sum […]
Read More →Similar Figures – Definition and Examples Definition: If two figures have the same shape, then they are called ” Similar Figures”. The ratio of length of their corresponding sides are equal, and their corresponding angles are equal. In below triangles ABC and PQR corresponding angles are equal so, […]
Read More →Elements of a Parallelogram In figure a Parallelogram ABCD. There are four sides AB, BC, CD and DA and four angles ∠A, ∠B, ∠C and ∠D in a Parallelogram. AB and DC are opposite sides, and AD and BC are another pair of opposite sides. ∠A and ∠C are a pair of opposite angles, and another pair of opposite angles are ∠B and ∠D. AB […]
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 […]
Read More →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 O to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB, Both angles are 900. To prove: AC = CB Construction: join OA and OB. Proof: In △OCA and △ OCB ∠OCA = ∠OCB […]
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