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Prove that if two tangents are drawn to a circle from a point outside it, then the line segments joining the point of contacts and the exterior point are equal.

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Prove that if two tangents are drawn to a circle from a point outside it, then the line segments joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.

If two tangents are drawn to a circle from a point outside it, them the line segments joining the point of contacts and the exterior point are equal.

If two tangents are drawn to a circle from a point outside it, then the line segment joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.

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.

Prove that the tangent to the circle at any point on it is perpendicular to the radius passes through the point of contact.

Prove that form any external point two tangents can be drawn to circle.

Find the distance of the point (1, 2) from the mid-point of the line segment joining the points (6, 8) and (2, 4).

Prove that the internal angle between two tangents drawn from an external point is bisected by the straight line obtained by joining that point and the centre of the circle.

At any point (x,y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point(-4, -3).Find the equation of the curve given that it passes through (-2, 1).

The lengths of the two tangents from an external point to a circle are equal.

UNITED BOOK HOUSE-KANACHI HIGH SCHOOL-EXERCISE
  1. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

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  2. If a^2/(b+c)=b^2/(c+a)=c^2/(a+b)=1, show that 1/(1+a)+1/(1+b)+1/(1+c)=...

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  3. If x/(lm-n^2)=y/(mn-l^2)=z/(nl-m^2), then show that lx+my+nz=0

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  4. Answer any One queation : Prove that, if a perpendicular is draw on t...

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  5. Prove that if two tangents are drawn to a circle from a point outside ...

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  6. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

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  7. A straight line intersects one of the two concentric circles at the po...

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  8. Draw the incircle of an equilateral triangle of side 7 cm.

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  9. Geometrically find the value of sqrt(21),

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  10. Sum of two angles is 135^@ and their difference is pi^c/12. Find the s...

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  11. If sin theta+ sin^2 theta = 1, prove that cos^2 theta+ cos^4 theta = ...

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  12. If x tan 30^@ + y cot 60^@ = 0,2x-y tan 45^@ = 1, then find the value ...

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  13. The height of two towers are 180 metres and 60 metres respectively. If...

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  14. A telegraph post is bent at a point above the ground due to storm. Its...

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  15. The length of radius of cross-section of a solid circular rod is 3.2 d...

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  16. The ratio of length breadth and height of a cuboid is 3:2:1 and its vo...

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  17. Three spheres made of copper having the lengths of 3 cm. 4 cm and 5 cm...

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  18. Ages of 100 patients in a hospital of Mahidual's locaity are given bel...

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  19. Find the median of heights of the students from the following frequenc...

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  20. Calculate the mode of the following frequency distribution table.

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