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Two tangents AB and AC drawn from an ext...

Two tangents AB and AC drawn from an external point A of a circle touch the circle at the point B and C. A tangent drawn to a point X lies on minor arc BC intersects AB and AC at the points D and E respectively. Prove that peremeter of `triangleADE = 2AB`.

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UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. In triangleABC, anglaBAC = 90^@ , if CD is a median of triangleABC, th...

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  2. The side BC of a triangle ABC is bisected at D; O is any point in AD. ...

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  3. Two tangents AB and AC drawn from an external point A of a circle touc...

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  4. Does the point (–2.5, 3.5) lie inside, outside or on the circle x^2 + ...

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  5. O is a point inside the trianglePQR and frm O,OA,OB,OC are perpendicul...

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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 L interesect the sides BC, CA and BA of triangleABC at...

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  8. In a right angled traingle PQR ,angleP is right angle and PS is perpen...

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  9. The radii of the two circles are 19 cm and 9 cm respectively. Find the...

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  10. Two parallel planes which are parallel to the base of a right circular...

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  11. Two make a right circular conical tent 22 metre broad canvas is requir...

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  12. In a right angled triangle the length of the sides containing the righ...

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  13. The lower part of a tent is in the form of a right circular cylinder w...

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  14. In a cuboid, the volume, total surface area and the length of one of i...

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  15. In a Cuboid, the volume, length and the length of its one diagonal are...

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  16. A cylindrical vessel of radius 4 cm contains water. A solid sphere of ...

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  17. By melting a solid iron sphere, 32 conical paper weights of equal volu...

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  18. The ratio of the volumes of a right circular cylinder and a sphere is ...

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  19. If the half total surface area of the cuboid is equal to the square o...

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  20. If 5 cos theta+ 12 sin theta = 13 show that tan theta = 12/5.

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