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If x/ (y+z) = y/(z+x) =z/(x+y) , then p...

If `x/ (y+z) = y/(z+x) =z/(x+y)` , then prove that the value of each ratio is either `1/2` or -1

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CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION
  1. Simplify : (3sqrt2)/(sqrt3 +sqrt6) -(4sqrt3)/(sqrt6 +sqrt2) +sqrt6/(sq...

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

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  3. If x/ (y+z) = y/(z+x) =z/(x+y) , then prove that the value of each ra...

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  4. Prove that front formed at the centre of a circle by an arc is the dou...

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  6. If the radius of cylinder is doubled, but height is reduced by 50% . W...

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  7. Two circles intersect each other at P externally. The straight QR touc...

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  8. Determin the value of square root of 29 by geometric method.

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  9. If cos theta + sec thetan = 2, then find the value of (cos^(11) theta...

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  10. Prove that "cosec"^2""24 cot^2""66^@ = sin^(2)24^@ +sin^2 ""66^@+cot^2...

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  11. The heights of two towers are 210 metres and 70 metres respectively. ...

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  12. Narayan, standing in the midst of a field, observes a flying bird in h...

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  13. The length of circumference of the base of a right circular cylinder i...

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  14. If the ratio of the radii of two spheres be 1 : 2, then find the ratio...

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  15. If the circumference of the bases of a right circular cone 2*2 metres ...

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  16. sqrt6xx sqrt15=xsqrt10.then find the value of x.

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  17. Subtract the number (7-sqrt3) and (3+sqrt3)

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  18. Subtract the number (10-sqrt11) and (-5+3sqrt11)

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  19. The present price of a machine is ₹ 2V. If the price of the machine de...

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  20. Falgumni, Shreya and Smita started a partnership bussiness ₹ 6000. At ...

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