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

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

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  • TANGENT AND SECANTS TO A 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

VGS PUBLICATION-BRILLIANT-TANGENTS AND SECANTS TO A CIRCLE-EXERCISE
  1. Number of tangents drawn to a circle is ………..

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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. Fill in the blanks. A circle can have parallel……………tangents at the mos...

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  5. Fill in the blanks A tangent PQ at a point P of a circle of radius 5...

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  6. Draw a circle and two lines parallel to a give such that one is a tang...

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  7. Calculate the length of tangent from a point 15 cm away from the centr...

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  8. Prove that the tangnets to a circle at the end points of a diameter ar...

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  9. Use Pythagoras theorem and write proof of above theorem " the lengths ...

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  10. Draw a pair of radii OA and OB such that angleBOA=120^(@) . Draw the ...

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  11. Draw a pair of tangents to circle of radius 5 cm which are inclined to...

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  12. Two concentric circles of radii 5 cm and 3 cm are draw . Find the leng...

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  13. Parallelogram circumscribing a circle is a ………………..

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  14. A triangle ABC is drawn to circumscribe a circle of radius 3 cm. such ...

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  15. Draw a Circle of radius 4 cm . From a poit 7.5 cm away from its centre...

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  16. Construct a tangent to a circle of radius 4 cm from a point on the con...

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  17. Draw a circle with the help of a bangle , take a point outside the cir...

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  18. In a right triangle ABC, a circle with a side AB diameter is drawn to ...

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  19. Draw tangent to a given circle with Centre O from a point 'R' outside ...

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  20. Shankar made the following pictures also. To find area of a figure, id...

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