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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.

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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.

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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If tangents are drawn to y^2=4a x from any point P on the parabola y^2=a(x+b), then show that the normals drawn at their point for contact meet on a fixed line.

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UNITED BOOK HOUSE-GARDEN REACH BIHARI DAS GIRL'S -EXERCISE
  1. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

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  2. If x/y= (a+2)/(a-2) show that (x^2-y^2)/(x^2+y^2)=(4a)/(a^2+4)

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  3. Answer any one : If a/b+c = b/c+a = c/a+b, then prove that each ratio...

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  4. Prove that if any straight line passing through the centre of a circle...

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  5. If two tangents are drawn to a circle from a point outside it, then th...

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  6. In triangleABC, anglaBAC = 90^@ , if CD is a median of triangleABC, th...

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  7. AC is a diamter of a circle with centre O, If triangleABC is cyclic an...

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  8. Construct an equilateral triangle with side 6 cm. Draw the in circle o...

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  9. Draw a cricle with centre at O having the length of radius 2.5 cm. Tak...

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  10. Find the value of sin^2 pi/3-sec^2 pi/4-cosec^2 pi/4+ cot pi/4.

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  11. If (sin theta) (x) = (cos theta)/(y), then prove that sin theta - cos ...

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  12. show that (1-sin^2 alpha)(1-cos^2 alpha)(1+cot^2 alpha)(1+tan^2 alpha)...

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  13. The heights of two towers are h1 metre and h2 metre. If the angle of e...

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  14. From a point at a height of 30 metre from the water level of a lake th...

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  15. Each side of a cube is decreased by 50%. Calculate the ratio of the vo...

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  16. The curved surface area of a solid right circular cylinder is 1,320 sq...

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  17. If two solid spheres with the radii of 1 cm and 6 cm lengths are melte...

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  18. If the median of the given data is 32, then find the value of x and y ...

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  19. Find the mean of the following frequency distribution table.

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  20. Draw an ogiven (less than type) from following data.

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