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If `f(x)=x^3+3x^2+6x+2sinx` then the equation `1/(x-f(1))+2/(x-f(2))+3/(x-f(3))=0` has

A

No real roots

B

1 real roots

C

2 real roots

D

More than 2 real roots

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KVPY PREVIOUS YEAR-MOCK TEST 1-EXERCISE
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  2. If the focus of the parabola (y - k)^2 = 4(x - h) always lies between ...

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  3. Let us define a region R is xy-plane as a set of points (x,y) satisfy...

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  4. The chance that doctor A will diagnose disease X correctly is 60%.The ...

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  5. Let f:{x,y,z}rarr{1,2,3} be a one-one mapping such that only one of th...

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  6. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

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  7. The equation 2cos^2x/2sin^2x=x^2+x^(-2);0<xlt=pi/2 has no real solutio...

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  8. The value of int(pi)^(2pi)[2sinx]dx where [.] represents the greatest ...

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  9. If f(x)=x^3+3x^2+6x+2sinx then the equation 1/(x-f(1))+2/(x-f(2))+3/(x...

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  10. If f and g are two continuous functions being even and and odd, respec...

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  11. A determinant of the second order is made with the elements 0 and 1. I...

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  12. Let f:[0,oo)vec[0,oo)a n dg:[0,oo)vec[0,oo) be non-increasing and non-...

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  13. The number of such points (a+1,sqrt3a), where a is any integer, lying...

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  14. Ifx^4+px^3+qx^2+rx+5=0 has four positive roots,then the minimum value ...

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  15. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

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  16. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

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  17. The value of Lt(xrarr0){(int0^(x^2) sec^2tdt)/(xsinx)} is (A) 0 (B) 3 ...

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  18. Tangents are drawn to the circle x^2+y^2=50 from a point 'P' lying on ...

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  19. LEt F: R->R is a differntiable function f(x+2y) =f(x) + f(2y) +4xy for...

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  20. If |z-1|+|z+3|<=8, then the range of values of |z-4| is

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