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Tangents of the circle PowerPoint PPT Presentation


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Tangents of the circle. Presented by . Shivshankar Choudhary. And Ram Singh. Objectives. This presentation explains: Types of Tangents. Construction of tangents. Construction of incircle. Construction of circumcircle.

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Tangents of the circle

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Tangents of the circle

Presented by

Shivshankar Choudhary

And

Ram Singh


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Objectives

  • This presentation explains:

  • Types of Tangents.

  • Construction of tangents.

  • Construction of incircle.

  • Construction of circumcircle

This project will help students understand the concept of tangents and how they are constructed.


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Requirements:-

  • Compass

  • Pencils

  • Eraser

  • Scale

  • Set Square


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Tangent Chord Secent

  • If line touches the circle at one point only that is called a tangent

  • If line connect the two point at the circle that is called a chord

  • If line intersect the circle at two point that is called secant


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Circle

Chord

Formation of tangent

D

P

Tangent

C

Secant

A

B


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Defination of tangents

APB is called a tangentto the circle

The touching point P is called the point of contact.

A

P

C

B


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When two circles do not touch

A

B

E

H

P

Q

G

F

C

D

We construct four tangentsAB,CD, EF & GH


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When two circles touches externally

3rd Tangent

1st Tangent

A

P

  • B

.

.

R

O

O’

C

Q

2nd Tangent

D

We can construct three tangents APB, CQD, PRQ


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When two circles intersect each other

1st Tangent

A

B

.

.

O

!

O

C

2nd Tangent

D

We can construct two tangents AB, CD


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When two circles touches internally

A

P

O

O’

B

We can construct onlyone tangents APB


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When two concurrent circles

O’

O

We can not construct any common tangent


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Pis a point out side the circle you canconstruct twotangents passing throughP

Q

P

O

R

Tangent PQ = TangentPR


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Constructing Circumcircle

Steps of Construction

C

Construct a Δ ABC

Bisect the side AB

Bisect the side BC

o

The two lines meet at O

From O Join B

B

Taking OB as radius draw a circumcircle.

A


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Bisect the BAC

Bisect the ABC

Taking O draw OP AB

Constructing of incircle

C

Steps ofconstruction

Construct a Δ ABC

O

The two lines meet at O

Taking OP as radius

Draw a circumcircle

A

B

P


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Acknowledgment

Thanks to Prasenjeet sir

Microsoft IT Academy

Govt. of Rajasthan


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