Rectangular coordinate system
Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are t..
Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are t..Examples:
Consider the statement of a theorem "If a transversal intersects two parallel lines, then pairs of corresponding angles are equal”. This theorem has two parts. If (hypothesis) and then (conclusion). Let us interchange the hypothesis and conclusion and write the statement. ..
Regular Polygon
It has all the angles and all the sides equal. In the figure, A = B = C = D = E, and AB = BC = CD = DE = EA. Name of Polygons with reference to the number of sides: Triangles and quadrilaterals are also polygons with three sides and four ..
It has all the angles and all the sides equal. In the figure, A = B = C = D = E, and AB = BC = CD = DE = EA. Name of Polygons with reference to the number of sides: Triangles and quadrilaterals are also polygons with three sides and four ..Interior and Exterior angles of a triangle
In a triangle when we refer to an angle, we mean the angle bounded by the two sides. The three angles lie in the interior region of the triangle. These angles are called the interior angles of the triangle. Now observe the triangle in which the sides are produced. As the tri..
In a triangle when we refer to an angle, we mean the angle bounded by the two sides. The three angles lie in the interior region of the triangle. These angles are called the interior angles of the triangle. Now observe the triangle in which the sides are produced. As the tri..Interior and Exterior angles of a triangle
Interior and Exterior angles of a triangle - In a triangle when we refer to an angle, we mean the angle bounded by the two sides. The three angles lie in the interior region of the triangle. These angles are called the interior angles of the triangle. Now observe the triangle in which the..
Interior and Exterior angles of a triangle - In a triangle when we refer to an angle, we mean the angle bounded by the two sides. The three angles lie in the interior region of the triangle. These angles are called the interior angles of the triangle. Now observe the triangle in which the..The Circle of Reference
The above figure shows a body moving with uniform speed along a circle. Let perpendiculars be drawn from different positions of the body onto any diameter, say the vertical diame..
The above figure shows a body moving with uniform speed along a circle. Let perpendiculars be drawn from different positions of the body onto any diameter, say the vertical diame..Activity
Take a nichrome wire of about 50 cm length and apply a potential difference of 1.5 V from a battery. Measure the current flowing through the wire using an ammeter connected to it in series, and note the potential difference across the resistance using a voltmeter connected across it. Note down and ..
Take a nichrome wire of about 50 cm length and apply a potential difference of 1.5 V from a battery. Measure the current flowing through the wire using an ammeter connected to it in series, and note the potential difference across the resistance using a voltmeter connected across it. Note down and ..Equation of the Bisectors
To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0 - To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0. Let the lines AB and CD intersect at S. Let P(x,y) be a point on the angle bisector of any one of the ..
To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0 - To find the equation of the bisectors of the angle between ax+by+c=0 and ax 1 +by 1 +c 1 =0. Let the lines AB and CD intersect at S. Let P(x,y) be a point on the angle bisector of any one of the ..Corresponding Angles Axiom
If two parallel lines are cut by a transversal, then the corresponding angles are equal in the figure below (a) (b) (c) (..
If two parallel lines are cut by a transversal, then the corresponding angles are equal in the figure below (a) (b) (c) (..Converse of Mid-Point Theorem
The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third side. In ABC, P is the mid-point of AB and PQ || BC. AQ = CQ Draw CR || BA to meet PQ produced at ..
The straight line drawn through the mid-point of one side of a triangle parallel to another, bisects the third side. In ABC, P is the mid-point of AB and PQ || BC. AQ = CQ Draw CR || BA to meet PQ produced at .. Result
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