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If f(x)=g(x^(3))+xh(x^(3)) is divisiblel...

If `f(x)=g(x^(3))+xh(x^(3))` is divisiblel by `x^(2)+x+1`, then

A

both g(x) and h(x) are divisible by (x-1)

B

h(x) is divisible but g(x) is not divisible x-1

C

g(x) is divisible but h(x) is not divisible x-1

D

None of these

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KVPY PREVIOUS YEAR-MOCK TEST 3-EXERCISE
  1. A function phi(x) satisfies the functional equation x^2phi(x) + phi(1-...

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  2. If n is a natural number,then

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  3. Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...

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  4. Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...

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  5. For any n in N, the value of the expression sqrt(2+sqrt(2+sqrt(2+.......

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  6. If a, b and c are distinct positive numbers, then the expression (a + ...

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  7. The general value of theta satisfying the equation 2sin^(2)theta-3sint...

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  8. For 3 xx 3 matrices M and N, which of the following statement(s) is/ar...

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  9. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

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  10. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

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  11. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

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  12. A person goes to office either by car, scooter, bus or train probabili...

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  13. The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...

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  14. If x,y andz are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6...

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  15. A variable point P on the ellipse of eccentricity e is joined to the f...

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  16. Letz,z0be two complex numbers z0being the cojugate of z0. The numbers ...

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  17. A person throws dice, one the common cube and the other reglowest tera...

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  18. The integers x,y and z each are perfect squares and x>y>z>0.If x,y,z f...

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  19. let A1,A2,A3,...An are the vertices of a regular n sided polygon inscr...

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  20. If p,q,r,s are in A.P.and f(x)=|(p+sinx,q+sinx,p-r+sinx),(q+sinx,r+sin...

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