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Prove that the tangents drawn from an ex...

Prove that the tangents drawn from an external point are equal.

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Prove that "the lengths of tangents drawn from an external points to a circle are equal ".

Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line-segment joining the points of contact at the centre.

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Theorem : If two tangents are drawn to a circle from an external point are equal. Use Pythagoras theorem to write a proof of the above theorem.

CPC CAMBRIDGE PUBLICATION-MODEL QUESTION PAPER 7 -QUESTIONS
  1. Solve: (x+y)/(xy)=2 and (x-y)/(xy)=6

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  2. Solve : y^(2)-(sqrt(3)+1)y+sqrt(3)=0

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  3. Show that the points (3, 2) (-2, -3) and (2, 3) are collinear or non-c...

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  4. In the given fig DeltaDGH~DeltaDEF, DH=8cm, DF=12cm, DG=(3x-1)cm and D...

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  5. A card is drawn at random from a box containing 21 cards numbered 1 to...

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  6. Draw a circle of radius 3cms. Construct a pair of tangents to it, from...

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  7. Express sinA and sec A in terms of cot A. OR If tan theta+sin thet...

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  8. The sum of the numerator and decominator of a fraction is 24. If 4 is ...

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  9. If the zeroes of the polynomial x^4-6x^3-26x^2+138x-35 are 2+-sqrt3 Fi...

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  10. A two digit number is such that the product of its digits is 18. when ...

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  11. If the co - ordinates of the mid points of DeltaABC are D(1, 2) E(0, -...

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  12. Prove that the tangents drawn from an external point are equal.

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  13. If a chord of circle of radius 10cm subtend an angle of 60^(@) at the ...

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  14. Find the mean of the following frequency distribution. {:("Classes :...

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  15. Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle ...

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  16. Solve the pair of equations graphically. 4x-3y+4=0 4x+3y-20=0

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  17. How many terms of the series 93 + 90 + 87 + ...... amounts to 975. ...

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  18. A tower is 50cm high. Its shadow is x mtrs shorter when the suns altit...

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  19. In a right angled triangle , square on the hypotenuse is equal to sum ...

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  20. The height of cone is 20m. A small cone is cut off from it at its top ...

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