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If (x^3 -y^3) prop (x^3 +y^3) then prove...

If `(x^3 -y^3) prop (x^3 +y^3)` then prove that (x - y) `prop` ( x + y)

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CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION
  1. Solve : x^2+(8+sqrt(11)) x+sqrt(704)=0

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  2. The sum of the squares of two consecutive positive odd numbers is 802....

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  3. If (x^3 -y^3) prop (x^3 +y^3) then prove that (x - y) prop ( x + y)

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  4. Simplify : (3sqrt2)/(sqrt3 +sqrt6) -(4sqrt3)/(sqrt6 +sqrt2) +sqrt6/(sq...

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

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

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

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  8. Prove that if two triangles are equiangular. Then corresponding sides...

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

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

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

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

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

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

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

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

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

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

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

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

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