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If a = 2 + sqrt3, then the value of (a ^...

If `a = 2 + sqrt3,` then the value of `(a ^(6) + a ^(4) + a ^(2) + 1)/(a ^(3))` is

A

42

B

56

C

45

D

65

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CHAMPION PUBLICATION-2014 TIER-II PAPER(18)-EXERCISE
  1. If a,b, c are real and a^(2) + b ^(2) + c ^(2) = 2 (a - b - c) -3, the...

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  2. If (a)/(b+c)=(b)/(c+a)=(c)/(a+b) and a+b+cne0 then the value of (b)/(a...

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  3. If a = 2 + sqrt3, then the value of (a ^(6) + a ^(4) + a ^(2) + 1)/(a ...

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  4. If x = sqrt5 + sqrt3 and y = sqrt5 - sqrt3, then the value of x ^(4) -...

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  5. If x + y + z = 6 then the value of ( x - 1) ^(3) + ( y - 2) ^(3) +...

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  6. If bc + ab + ca = ab,c then the above of (b +c)/( bc (a - 1)) + (a + ...

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  7. The graph of 3 x + 4y - 24 = 0 forms a triangle OAB with the coor...

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  8. If (a ^(2) - b c)/( a ^(2 ) + bc)+ (b ^(2) -ca)/( b ^(2) + ca) + (c ^(...

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  9. If p^(4) = 119 - (1)/( p^(4)) then the value of p^(3) - (1)/( p^(3))...

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  10. The sum of the internal angles of a regular polygon is 1440^(@). The n...

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  11. ABCD is a regular trapezium in which AD || BC Diagonal AC and BD inter...

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  12. The distance between the centres of two circles having radii 8 cm and ...

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  13. Chords PQ and RS of a circle, when produced, meet at a point O. If PQ ...

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  14. The point of intersection for the diagonals AC and BD of the cyclic qu...

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  15. Three circles of radius 6 cm touches each other externally. Then the d...

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  16. In Delta ABC, AB = AC, O is a point on BC such that BO = CO and OD is ...

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  17. In an isosceles triangle, if the unequal angle is twice the sum of the...

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  18. ‘O' is the orthocentre of triangle ABC.Then angle BOC +angle BAC is eq...

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  19. In triangle ABC , the bisector of angle BAC intersects BC at D and the...

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  20. If sec theta-cos theta = 3/2 where theta is a positive acute angle. th...

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