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If x + y + z = 1, x^(2) + y^(2) + z^(2)...

If ` x + y + z = 1, x^(2) + y^(2) + z^(2) = 2 and x^(3) + y^(3) + z^(3) = 3 ` then what is the value of xyz ?

A

`1//3`

B

`1//6`

C

`1//2`

D

`1//4`

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CHAMPION PUBLICATION-2017 TIER-II PAPER(12)-EXERCISE
  1. If (a + b)^(2) - 2 (a + b) = 80 and ab = 16 then what can be th...

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  2. If x^(y + x ) = 1, y^(x + z) = 1024 and z^(x+ y) = 729 (x, y and z...

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  3. If x + y + z = 1, x^(2) + y^(2) + z^(2) = 2 and x^(3) + y^(3) + z^(3...

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  4. In triangle PQR, the internal angle bisector of angle Q and angle R me...

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  5. PQR is a triangle such that PQ = PR. RS and QT are the medians to the ...

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  6. PQR is a triangle. S and T are the midpoints of the sides PQ and PR re...

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  7. ABC is a triangle in which angleABC=90^(@),BD is perpendicular to AC. ...

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  8. Two parallel chords are on one side of the centre of a circle. The len...

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  9. Two circles of radius 4 cm and 6 cm touch each other internally. What ...

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  10. In the given figure, PT is a common tangent to three circles at points...

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  11. PQRS is a cyclic quadrilateral. PR and QS intersect at T. If angleSPR=...

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  12. In the given figure, anglePSR=105^(@) and PQ is the diameter of the ci...

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  13. There are two identical circles of radius 10 cm each. If the length of...

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  14. PQRS is a rectangle in which side of PQ = 24 cm. and QR= 16 cm. T is a...

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  15. In the given figure, ABCD and BEFG are squares of sides 8 cm and 6 cm ...

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  16. PQRS is a parallelogram and its area is 300 cm^2. Side PQ is extended ...

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  17. PQRST is a regular pentagon. If PR and QT intersects each other at X, ...

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  18. In the given figure, ABCDEF is a regular hexagon whose side is 12 cm. ...

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  19. ABCD passes through the centres of the three circles as shown in the ...

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  20. A= Area of the largest circle drawn inside a square of side 1 cm. B= S...

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