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If x alpha yz and y alpha zx, then show ...

If `x alpha yz` and `y alpha zx`, then show that `(z!=0)` is a constant.

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UNITED BOOK HOUSE-GARDEN REACH BIHARI DAS GIRL'S -EXERCISE
  1. In a business capital of A is 1 1/2 times of the capital of B. If the...

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  2. If (2x)/3=(4y)/5=(7z)/9 then find the value of (4x+12y-21z)/(3y).

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  3. If x alpha yz and y alpha zx, then show that (z!=0) is a constant.

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  4. AB is the diameter of a semicircle with length of radius 4 cm C is an...

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  5. The ratio of the consequtive three angles of a cyclic quadrilateral is...

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  6. In triangleABC, if AB = (2a - 1) cm, AC = 2sqrt2a cm and Bc = (2a + 1)...

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  7. If tan theta = 4/3, find the value of (sin theta + cos theta).

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  8. If x = a sec theta and y = b tan theta, then find the relation between...

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  9. The numerical values of total surface area and volume of a hemisphere ...

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  10. The curved surface area of a right circular cone is sqrt(10) times of ...

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  11. In a frequency distribution, mean is 8.1, sum fixi = 132+5k and sumfi ...

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  12. If interest is compounded half yearly what will be the compound intere...

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  13. A, B, C start a business jointly investing ₨. 1,80,000 in together. A ...

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  14. If 5 times of a positive whole number is less by 3 than twice of its s...

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  15. In a garden trees are planed in rows. The number of trees in each row ...

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  16. Simplify : 1/(sqrt2+sqrt3)-(sqrt3+1)/(2+sqrt3)+(sqrt2+1)/(3+2sqrt2)

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  17. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

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

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

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