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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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A tangent meets a circle in……. Points .

A tangent to a circle touches it in ................ point (s).

Draw tangent to a given circle with Centre O from a point 'R' outside the circle. How many tangents can be drawn to the circle from the point ?

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?

VGS PUBLICATION-BRILLIANT-TANGENTS AND SECANTS TO A CIRCLE-EXERCISE
  1. How can you prove the converse of the above theorem. "If a line in ...

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

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

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  4. A line intersecting a circle in two points is called a ………..

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  5. Number of tangents drawn to a circle is ………..

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

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

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

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

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

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

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

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

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

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

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

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  17. Parallelogram circumscribing a circle is a ………………..

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

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

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

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