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`alpha and beta ` are the roots of the quadratic equation `x^(2) - x - 1 = 0` what is the value of `alpha^(8) + beta^(8)` ?

A

47

B

54

C

59

D

68

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CHAMPION PUBLICATION-2017 TIER-II PAPER(11)-EXERCISE
  1. If x^(2) - 16 x + 59 = 0 then what is the value of ( x - 6) ^(2) +...

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  2. If A and B are the roots of the equation A x^(2) - A^(2) x + AB = 0...

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  3. alpha and beta are the roots of the quadratic equation x^(2) - x - 1...

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  4. If a + b + c = 9, ab + bc + ca = 26 , a^(3) + b^(3) = 91 , b^(3) + ...

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  5. If x^(3) - 4 x ^(2) + 19 = 6 ( x - 1) then what is the value of [...

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  6. Cost of 8pencils, 5pens and 3erasers is rs.111. Cost of 9pencil, 6pens...

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  7. If 2 x + 3y - 5 z = 18 , 3 x + 2y + z = 29 and x + y + 3z = 17 then ...

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  8. PQR is an equllateral triangle whose side is 10 cm. What is the value ...

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  9. What is the area (in cm^2) of the circumcircle of a triangle whose sid...

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  10. In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ ...

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  11. ABCD is a trapezium in which AB is parallel to CD and AB = 4 (CD). The...

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  12. In the given figure, ABC is an equilateral triangle. Two circles of ra...

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  13. In the given figure, SX is tangent. SX = OX = OR. If QX = 3cm and PQ =...

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  14. PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and...

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  15. Triangle PQR is inscribed in a circle such that P Q and R lie on the c...

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  16. In the given figure, angleQRU=72^(@) angleTRS=15^(@)andPSR=95^(@) then...

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  17. What can be the maximum number of common tangent which can be drawn to...

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  18. Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ i...

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  19. PQR is a right angled triangle in which PQ = QR. If the hypotenuse of ...

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  20. PQRS is a square whose side is 20 cm. By joining opposite vertices of ...

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