Polygon In mathematics, a polygon is a closed geometric shape that is made up of a finite number of straight line segments (edges) that are joined together end-to-end. The point where the two segments meet is called a vertex. The segments and the space inside the polygon define the polygon. Polygons can be broadly categorized into two types: regular and irregular. A regular polygon is one in which all of its sides are the same length and all of its angles are congruent (equal). An irregular polygon is one in which the sides are of different lengths and the angles are not congruent Polygon Naming Conventions Here is a list of the names of polygons, along with the number of sides they have: Triangle : 3 sides Quadrilateral : 4 sides Pentagon : 5 sides Hexagon: 6 sides Heptagon: 7 sides Octagon: 8 sides Nonagon: 9 sides Decagon: 10 sides Hendecagon or Undecagon: 11 sides Dodecagon: 12 sides Triskaidecagon or Tridecagon: 13 sides Tetradecagon:...

What is Ecotone ? An ecotone is a transition zone between two ecosystems or biomes. It is the area where the distribution of plant and animal species changes as one ecosystem gives way to another. Ecotones can occur at a variety of scales, from the boundary between a forest and a grassland, to the interface between a coral reef and the open ocean. These transition zones are often highly biodiverse, as they provide a variety of different habitats for different species. Ecotones are also known to play an important role in the functioning of ecosystems and are often considered keystone features in conservation and management. Characteristic of Ecotone Ecotones have several characteristics that distinguish them from the ecosystems on either side of the transition zone. Some of these include: 1. Biodiversity : Ecotones tend to have a higher diversity of plant and animal species than the ecosystems they connect. This is because ecotones provide a range of different habitats that...

Start the test Question no. 1 A constant voltage is applied between the two ends of a unifrom metallic wire. Some heat is developed in it, the heat developed is doubled if the radius of the wire is doubled   the length of the wire is doubled   both the length and radius of the wire are halved   both the length and radius of the wire doubled. Question no. 2 Fuse wire should have   low resistance , low melting point   low resistance , low melting point   high resistance , low melting point high resistance , high melting point Question no. 3 An electric kettle has two heating elements . One brings it to the boil in 10 minutes and the other in 15 minutes. if two heating filaments are connected in parallel , the water in kettle will boil in 6 min   8 min   25 min   5 min Question no. 4 An electric bulb is rated 220 V and 100 watt. Power consumed by it w...

Free mock test for NDA Sequence and Series Conic Section Ray Optics(Physics) Differentiation + Ray Optics(Physics) Application of Derivative + Electrostatic Application of Derivative + Electricity Complex Number

Start the test Question no. 1 If a positive charge is shifted from a low potential region to a high potential region , the electric potential energy decreases   increases   remains the same   may decrease / increase Question no. 2 Work done in moving a unit positive charge through a distance of x metre on an equipotential surface is   x joule   1/x joule   0 x 2 Question no. 3 f(x) = cos x is monotonic decreasing under which one of the following condition ? (0 , π/2) only   (π/2 , π) only   (0 , π)   (0 , 2π) Question no. 4 A wire 34 cm long is to be bent in the form of a quadrilateral of which each angle is 90 degree. What is the maximum area which can be enclosed inside the quadrilateral ? 68 cm 2   70 cm 2   71.25 cm 2   72.25 cm 2 Question no. 5 What are the points on the curve x 2 +...

Start the test Question no. 1 If x = cost , y = sint , then what is equal to ? y -3   y 3   -y -3   -y 3 Question no. 2 What is the derivative of (log tanx cotx)(log cotx tanx) -1 at x = π/4 ?   -1   0   1   1/2 Question no. 3 What is the derivative of log 10 (5x 2 + 3) with respect to x ? (xlog 10 e)/(5x 2 + 3)   (2xlog 10 e)/(5x 2 + 3)   (10xlog 10 e)/(5x 2 + 3)   (10xlog e 10)/(5x 2 + 3) Question no. 4 Let f(x) = [|x| -|x-1|] 2 , What is f'(x) equal to when x > 1 ?   0   2x-1   4x - 2   8x - 4 Question no. 5 let f(x+y) = f(x)f(y) for all x and y . then what is f'(5) equal to ?   f(5)f'(0)   f(5) - f'(0)   f(5)f(0)   f(5) + f'(0) Question no. 6 y = ln(√tanx) , then what is the value of dy/dx at x = π/4 ?   0   -1   1/2 ...

Start the test Question no. 1 The laws of reflection are valid for :   only for plane surface   only for curved surface   both plane and curved surface   neither of them Question no. 2 Consider the two statements : 1) if reflected rays intersect , virtual image is formed . 2) if reflected rays diverge after reflection , real image is formed. Which of the following statements are correct ?.   only 1   only 2   both   neither Question no. 3 Consider the following statements virtual images 1) can be formed on screen . 2) always erected and not always magnified   only 1   only 2   both   neither Question no. 4 The working principle of optics fibre is   Scattering   Polarization   Total internal reflection   Dispersion of light Question no. 5 When an object is placed under a transparent medium , it appears to be raised. The upward ...