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The number of real values of alpha for w...

The number of real values of `alpha` for which the system of equations `{:(x+3y+5z=alphax),(5x+y+3z=alpha y),(3x+5y+z= alpha z):}` has infinite number of solutions is

A

1

B

2

C

4

D

9

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
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  3. The number of real values of alpha for which the system of equations {...

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  4. The total number of injections (one-one into mapping) (from {a(1),a(2)...

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  5. Let (1+x)^10= sum(r=0)^(10)c(r) x^(r), and (1+x)^(7)= sum(r=o)^(7)d(r)...

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  6. Two decks of playing cards are well shuffled and 26 cards are randomly...

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  7. An run contains 9 red and 5 white balls. Three balls are drawn at rand...

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  8. Two coins are available, one fair the other two- headed. Choose a coin...

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  9. Let R be the set of real numbers and the function f: RR to RR and g: R...

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  10. If a,b,c are in arithmetic progression then the roots of the equation ...

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  11. The equation y^(2)+4x+4y+k=0 represents a parabola whose latus rectum ...

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  12. If the circles x^(2)+y^(2)+2x+2ky+6=0 and x^(2)+y^(2)+2ky+k=0 intersec...

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  13. If four distinct points (2k, 3k) (2,0) (0,3) (0,0) lie on a circle, th...

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  14. The line joining A( b cos alpha, b sin alpha) and B( a cos beta, alpha...

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  15. Let the foci of the ellipse (x^(2))/(9)+y^(2)=1 subtend a right angle ...

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  16. The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2...

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  17. The value of the integral int(pi//6)^(pi//2) ((1+sin 2x+cos 2x)/(sin x...

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  18. The valueof the integral int(0)^((pi)/(2)) (1)/(1+(tanx)^(101))dx is e...

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  19. The integrating factor of the differential equation 3xlog(e)x(dy)/(dx)...

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  20. Number of solutions of the equation tan x+sec x=2 cos, x, in {0, pi} i...

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