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A tangent to a circle intersects it in …...

A tangent to a circle intersects it in ………. Point (s) .

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Draw a tangent to a given circle with center O from a point 'R' outside the circle. How many tangents can be drawn to the circle from that point? The distance of two points to the point of contact is the same.

PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T (see figure). Find the length of TP.

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.

In the adjacent figure, common tangents PQ and RS to two circles intersect at A. Prove that PQ = RS.

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 .

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?

BEYOND PUBLICATION-TANGENTS AND SECANTS TO CIRCLE-EXERCISE
  1. Three circles are drawn with the vertices of a traingle as centres suc...

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  2. A circle may have ........ parallel tangents utmost.

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  3. A tangent to a circle intersects it in ………. Point (s) .

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  4. A line segment joining any point on a circle is called its ……

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  5. A line which intersects the given circle at two distinct points is cal...

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

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  7. Angle between the tangent and radius drawn through the point of contac...

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  8. The circumference of a circle is 100 cm . The side of a square inscrib...

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  9. The area of a square inscribed in a circle of radius 8 cm is ………cm^(2)...

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  10. The area of a circle that can be inscrinbed in a square of side 6 cm i...

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  11. The perimeter of a quadrant of a circle of radius (7)/(2) cm is ………cm

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  12. The number of tangents at one point of a circle is …..

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  13. Number of tangents to a circle which are parallel to a secant are ……

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  14. ……….tangent can be drawn from a point inside a circle .

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  15. A line which is perpendicular to the radius of the circle through the ...

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  16. The number of tangents draw at the end of the diameter is …………

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  17. The tangents drawn at the end point of radius is ……..

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  18. Tangents drawn from an exterior point of a circle are………

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  19. A secant meets a circle in …..points .

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  20. A tangent meets a circle in……. Points .

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