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In the Argand plane, the distinct roots ...

In the Argand plane, the distinct roots of `1+z+z^(3)+z^(4)=0`(z is a complex number) represent vertices of

A

a square

B

an equilateral triangle

C

a rhombus

D

a rectangle

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. Suppose that z(1), z(2), z(3) are three vertices of an equilateral tr...

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  2. The curve y=(cosx+y)^(1//2) satisfies the differential equation

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  3. In the Argand plane, the distinct roots of 1+z+z^(3)+z^(4)=0(z is a co...

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  4. If A, B, C are the angles of a triangle then tan ((B+C)/2)=

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  5. Let alpha, beta be the roots of x^(2)-x-1=0 and S(n)=a^(n)+beta^(n), f...

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  6. A fair six-faced die is rolled 12 times. The probability that each fac...

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  7. If alpha, beta are the roots of the quadratic equation x^(2)+px+q=0, t...

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  8. The solution of the differential equation (dy)/(dx)+(y)/(x log(e )x)...

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  9. Let f(x) = max {x+|x|, x-[x]}, where [x] denotes the greatest integer ...

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  10. Let X(n)={z=x+iy:|z|^(2) le (1)/(n)} for all integers n ge 1. Then cap...

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  11. Applying Lagrange's Mean Value Theorem for a suitable function f(x) is...

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  12. The equation of hyperbola whose coordinates of the foci are (pm8,0) a...

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  13. A student answers a multiple choice question with 5 alternatives, of ...

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  14. "cos"(2pi)/(7) +"cos"(4pi)/(7)+"cos"(6pi)/(7)

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  15. Suppose M= int(0)^(pi//2) (cos x)/(x+2) dx, N=int(0)^(pi//4) (sinx" "c...

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  16. For any two real numbers theta and varphi, we define thetaR varphi if ...

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  17. The minimum value of 2^(sinx)+2^(cosx) is

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  18. We define a binary relation ~ on the set of all 3 xx 3 real matrices a...

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  19. Let alpha, beta denote the cube roots of unity other than 1 and alpha ...

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  20. Let t(n) denote the nth term of the infinite series (1)/(1!) +(10)/(2!...

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