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If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , sh...

If `(x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c` , show that (a+b+c)(x+y+z)=(ax+by+cz).

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UNITED BOOK HOUSE-HINDU SCHOOL -EXERCISE
  1. If a alpha b and b alpha c then show that a^3b^3+b^3c^3+c^3a^3 alpha a...

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  2. What should be added to each of a,b,c,d to make the sums proportional?

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  3. If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by...

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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 opposite angles of a cyclic quadrilateral are supplementary

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  6. The radius of a circle is 8 cm. Calculate the length of a tangent draw...

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

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  8. Draw a triangle whose two side are 7.6 cm and 6 cm in length and the a...

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  9. Geometrically find the value of sqrt(29).

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  10. Find the values of (2 tan^2 30^@)/(1-tan^2 30^@)+sec^2 45^@-cot^2 45^@...

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  11. If alpha+beta = 90^@, prove that sec^2 alpha+sec^2 beta = sec^2 alpha ...

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  12. If sec theta+tan theta = x, prove that sin theta= (x^2-1)/(x^2+1)

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  13. A man standing on a railway bridge 5sqrt3 meters high, observes the en...

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  14. Two towers are situated at a distance of 120sqrt2 metre and the height...

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  15. The length of the radius of cross section of a solid right circular ro...

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  16. Length of radius and height of a right circular draw are 21 cm and 21 ...

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  17. The length of two sides adjacent to right angle of a right angled tria...

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  18. Calculate the mean of obtained marks of 64 students from the given dat...

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  19. Find the median of the following data.

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  20. Calculate the mode of the following data.

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