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Lesson Posted on 20/08/2018 Symmetry

Raj Kumar

I am Six Sigma Black belt trained from American Society of Quality I am 2011 pass out in B.tech from...

Symmetry is nothing but Quality of being made of the precisely similar parts Nature loves symmetry Now we will check the symmetry 1) if the curve is symmetrical about the x-axis a)Y will be replaced by (-y), and curve remains the same for example, y2=x represents the parabola which is symmetrical... read more

Symmetry is nothing but Quality of being made of the precisely similar parts

Nature loves symmetry

Now we will check the symmetry

1)

if the curve is symmetrical about the x-axis

a)Y will be replaced by (-y), and curve remains the same

for example, y2=x represents the parabola which is symmetrical about the x-axis

proof: replace y with -y in the above equation

(-y)2=x⇒y2=x so the curve remains same

2)

if the curve is symmetrical about the y-axis

a) f(-x)=f(x) means curve should be even function

for example, x2=y represents the parabola which is symmetrical about the y-axis

proof: replace x with -x in the above equation

(-x)2=y⇒x2=y so the curve remains same

(-x)2=y⇒x2=y so the curve remains same

3)

if the curve is symmetrical about the line y=x

on interchanging of x and y Curve remains the same

For example, Cubic function y=x3 is symmetrical about the line y=x

let us interchange the x and y

⇒x=y3

Solve for y=x1/3 below given graph are two graphs which are symmetrical about the line y=x

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Sujoy D.

Tutor

NOSum of all the angles of a triangle is 180.As 70+115 is exceeding 180 degrees, it is not possible to construct a triangle.
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Sujoy D.

Tutor

Draw a straight 6 cm line. Then take compass and by taking 6cm in compass draw an arc from one of the line which you have drawn and without disturbing the compass from the other end of the line cut the arc which is drawn before. There you will get a point and now from that point join the ends of the... read more

Draw a straight 6 cm line. Then take compass and by taking 6cm in compass draw an arc from one of the line which you have drawn and without disturbing the compass from the other end of the line cut the arc which is drawn before. There you will get a point and now from that point join the ends of the line which is of 6 cm. Now equilateral triangle is done.

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Questions 16

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Sujoy D.

Tutor

English alphabets having symmetry are: A, B, C, D, E, K, M, T, U, V, W, Y have one line of symmetry. H, I, X have two lines of symmetry. And F, G, J, L, N, P, Q, R, S, Z have neither horizontal nor vertical lines of symmetry.
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Sujoy D.

Tutor

Cone.
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Sujoy D.

Tutor

An edge
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## Top Contributors

Connect with Expert Tutors & Institutes for Symmetry

Sujoy D.

Tutor

2 edges.
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Vikas Verma

Tutor

Vertices.
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Tapas Bhattacharya

Tutor

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Ankit

JEE/Board Maths Tutor

First draw a base line of 7 cm. Then take a measurement in compass of 4 cm using scale. Draw an Arc from one of the end point of the base line. Repeat the same procedure for 5 cm from another end point of base line. Draw two lines to both ends from the mid point of the Arc.
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