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root(3)(4^(2)) is equal to :-...

`root(3)(4^(2))` is equal to :-

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Consider biquadratic equation 81x^(4) + 216x^(3) + 216x^(2) +96x = 65 , whose roots are a,b,c,d . Given a,b , real roots and c,d are imaginary roots. On the basis of above information, answer the followin questions: The value of (a+b)^(3) - (c+d)^(3) is equal to-

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log_(1/3)root(4)(729*root(3)(9^(- 1)*27^(-4/3))) is equal to

if the roots of the equation 1/ (x+p) + 1/ (x+q) = 1/r are equal in magnitude but opposite in sign, show that p+q = 2r & that the product of roots is equal to (-1/2)(p^2+q^2) .

If ,Z_1,Z_2,Z_3,........Z_(n-1) are n^(th) roots of unity then the value of 1/(3-Z_1)+1/(3-Z_2)+..........+1/(3-Z_(n-1)) is equal to

ALLEN -RACE-Basic Maths (VECTORS)
  1. State whether the following statements are true or false :- (1) Magn...

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  2. The magnitude of a vector cannot be :

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  3. root(3)(4^(2)) is equal to :-

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  4. Which of the following group of foces cannot produce the resultant of ...

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  5. Which of the following group of concurrent forces may be in equilibriu...

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  6. Which of the following group of forces cannot produce zero resultan?

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  7. If costheta = 5/3 then what is the value of cos(theta/2)?

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  8. Figure shows three vectors veca,vecb and vecc. If bar(RQ)=2bar(PR), wh...

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  9. 100 coplanar forces each equal to 10 n act on a body. Each force makes...

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  10. With respect to a rectangular cartesian coordinate system, three vecto...

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  11. There are two force vectors, one of 5N and other of 12N. At what angle...

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  12. Two equal forces are acting at a point with an angle of 60^(@) between...

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  13. Two forces 3 N and 2 N are at an angle theta such that the resultant i...

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  14. The resultant of the vectors A and B is perpendicular to the vector A ...

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  15. Two force F(1)" and "F(2) are acting on a body. One force is double th...

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  16. Two vectors vecA" and "vecB have equal magnitudes. If magnitude of vec...

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  17. The maximum and minimum resultant of two forces acting at a point are ...

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  18. The resultant of the three vectors bar(OA),bar(OB) and bar(OC) shown i...

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  19. If (|veca+vecb|)/(|veca-vecb|)=1, then angle between bar(a)" and "bar(...

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  20. The magnitude of pairs of displacement vectors are give. Which pairs o...

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