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Let a, b, c be three real numbers such t...

Let a, b, c be three real numbers such that a + 2b + 4c = 0. Then the equation `ax^(2) + bx + c=0`

A

has both the roots complex

B

has its roots lying within ` -1 lt x lt 0`

C

has one of the roots equal to `1/2`

D

has its roots lying within ` 2 ltx lt 6`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. The number of diagonals in a polygon is 20. The number of sides of the...

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  2. ""^(15)C(3) + ""^(15)C(5) + ……… +""^(15)C(15) =

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  3. Let a, b, c be three real numbers such that a + 2b + 4c = 0. Then the ...

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  4. If the ratio of the roots of the equation px^(2) + qx + r=0 is a:b, th...

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  5. If alpha and beta are the roots of the equation x^2 + x + 1=0 , then...

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  6. For the real parameter t, the locus of the complex number: z=(1-t^(2...

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  7. If x + 1/x = 2cos theta, then for any integer n, x^(n) + 1/x^(n) =

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  8. If omega ne 1 is a cube root of unity, then the sum of the series S...

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  9. If log(3)x + log(3)y =2 + log(3)2 and log(3)(x+y) =2, then

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  10. If log(7)2 = lambda, then the value of log(49) (28) is:

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  11. The sequence log a, log (a^(2)/b), log (a^(3)/b^(2)) is:

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  12. If in a triangle ABC, sin A, sin B, sin C are in A.P, then

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  13. |{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}|=

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  14. The area enclosed between y^(2) = x and y=x is:

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  15. Let f(x) = x^(3) e^(-3x) , x gt 0. Then the maximum value of f(x) is:

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  16. The area bounded by y^(2) = 4x and x^(2) = 4y is:

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  17. The acceleration of a particle starting from rest moving in a straight...

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  18. The solution of: (dy)/(dx) = y/x + tan y/x is:

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  19. Integrating Factor (I.F). Of the differential equation: (dy)/(dx) -...

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  20. The differential equation of y=ae^(bx) (a & b are parameters) is:

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