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We can draw ………… tangents to a given cir...

We can draw ………… tangents to a given circle .

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  • TANGENTS AND SECANTS TO CIRCLE

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How can you draw the tangent to a circle at a given point when the centre of the circle is not known?

In the below figure which are tangents to the given circles ?

Draw a circle of radius 3 cm . Take a point 'P' at a distance of 5 cm , from the centre of the circle . From P , draw 2 tangents to the circle.

Draw a circle of radius 4 cm and draw a pair of tangent to the circle, which are intersecting each other 6 cm away from the centre.

Draw a circle of radius 5 cm . From a point 8 cm away from its centre , construct a pair of tangents to the circle . Find the lengths of tangents .

Draw a circle with 5 cm radius and construst a pair of tangents to the circle .

Draw a Circle of radius 4 cm . From a poit 7.5 cm away from its centre , construct the pair of tangents to the circle .

The common point of the tangent and the circle is called the point of contact and the tangents is said to touch the circle at the common point. Observe the tangents to the circle in the figures given below. How many tangents can you obtain to the circle.in all?See the points of contact. Draw radii from the points of contact. Do you see any thing special about the angle between the tangents and radii at the points of contact. All appear to be perpendicular to the corresponding tangents. How many tangents can you draw to a circle at a point?

Statement(A): Diameter is the longest chord in the circle Statement(B):We can draw infinite no of chords in a circle

BEYOND PUBLICATION-TANGENTS AND SECANTS TO CIRCLE-EXERCISE
  1. Fill in the blanks. A circle can have parallel……………tangents at the mos...

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  2. The common point to a tangent and a circle is called …..

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  3. We can draw ………… tangents to a given circle .

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  4. In the given figure, O is the centre of the circle and PT is a tangent...

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  5. In the adjacent figure, Prove that BD = DC if AB = AC

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  6. The incircle of a triangle ABC touches the sides AB, BC and CA at the ...

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  7. Find the area of a quadrant of a circle whose circuemference is 88 cm.

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  8. The minute hand of a clock is 6 m long. Find the area of the face of t...

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  9. Two circles touch internally. The sum of their areas is 116 pi cm^2 an...

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  10. In the figure ABCD, find the area of the shaded region.

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  11. A chord of a circle of radius 14 cm subtends a right angle at the cent...

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  12. A circle touches all the four sides of a quadrilateral PQRS . Prove th...

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  13. Prove that the tangents at the extermities of any chord makes equal an...

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  14. Two tangents TP and TQ are drawn to a circle with centre 'O' from on e...

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  15. In two concentric circles, a chord of length 24 cm of larger circle be...

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  16. If 'O' is the centre of the circle. PA and PB are tangent segments. Sh...

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  17. If PA and PB are tangents from an external point to a circle with cen...

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  18. In the adjacent figure, BC is a tangent to the circle with centre 'O'....

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  19. In the adjacent figure, common tangents PQ and RS to two circles inter...

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  20. Choose the correct answer and give justification for each . The ang...

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