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If x = cy+bz, y =az+cx, z = bx+ay then p...

If x = cy+bz, y =az+cx, z = bx+ay then prove that `x^2/(1-a^2)=y^2/(1-b^2)=z^2/(1-c^2)`.

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UNITED BOOK HOUSE-HOWRAH ZILLA SCHOOL-EXERCISE
  1. If x= (sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)), then show that ...

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  2. If a,b,c,d are in continued proportion then show that abcd(1/a+1/b+1/c...

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  3. If x = cy+bz, y =az+cx, z = bx+ay then prove that x^2/(1-a^2)=y^2/(1-b...

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  4. State and Prove Pythagoras theorem.

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  5. Prove that the tangent and the radius through the point of contact of ...

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  6. Two tangents are draw from an external point A to the cirle with centr...

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  7. ABC is a right angled triangle whose angleA = 90^@, AD is perpendicula...

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  8. Draw a circle with radius 2.8 cm in length. Take point apart from the ...

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  9. Geometrically find the value of sqrt(38) (only traces of construction ...

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  10. If sec theta+ tan theta = 2+sqrt5, show that sin theta+ cos theta = 3/...

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  11. If alpha and beta are complementary angles to each other, the find the...

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  12. If sec theta = (2xy)/(x^2+y^2) possible? When x and y are positive rea...

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  13. From the bottom of a 'tila' the angle of elevation of its unreachable ...

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  14. A spherical ballon of radius r while floating in the sky, makes an ang...

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

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

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  17. The height and diameter of each of three right circular cylinders are ...

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  18. Calculate the mean of the following frequency distribution table.

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  19. If the median of the following frequency distribution is 27, then find...

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  20. Find the mode of the following frequency distribution of obtained mark...

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