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Complex Numbers...

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    Find the value of  

  • Question 9
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    If the roots of the equation x2  - 5x + 16 = 0 are a, b and the roots of the equation x2  + px + q = 0 are (a2  + b2 ) and  , then-

  • Question 10
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    The number of the integer solutions of x2  + 9 <(x + 3)2  <8x + 25 is

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  • Question 12
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    The equatiobn πx  = –2x2  + 6x – 9 has

  • Question 13
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    Let a >0, b >0 and c >0. Then both the roots of the equation ax2  + bx + c = 0

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    The set of all solutions of the inequality   <1/4 contains the set

  • Question 15
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    Consider y = , where x is real, then the range of expression y2  + y – 2 is

  • Question 16
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    The values of k, for which the equation x2  + 2(k – 1) x + k + 5 = 0 possess atleast one positive root, are

  • Question 17
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    If    <= 4, then least and the highest values of 4x2  are

  • Question 18
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    If coefficients of the equation ax2  + bx + c = 0, a < 0 are real and roots of the equation are non –real complex and a + c + b <0, then

  • Question 19
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    If the roots of the equation x2  + 2ax + b = 0 are real and distinct and they differ by at most 2m, then b lies in the interval

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    If the roots of the quadratic equation x2  + px + q = 0 are tan 30 ºand tan 15 ºrespectively, then the value of 2 + q – p is

  • Question 21
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    If (1 – p) is root of quadratic equation x2  + px + (1 – p) = 0, then its roots are

  • Question 22
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    The values of x and y besides y can satisfy the equation (x, y ∈real numbers) x2 – xy + y2  – 4x – 4y + 16 = 0

  • Question 23
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    For what value of a and b the equation x4  – 4x3  + ax2  + bx + 1 = 0 has four real positive roots ?

  • Question 24
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    If a, b are roots of the equation ax2  + bx + c = 0, then the value of a3  + b3  is

  • Question 25
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    If z1  = 2 + i, z2  = 1 + 3i, then Re ( z1  - z2 ) =

  • Question 26
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    If a, b are roots of the equation ax2  + bx + c = 0 then the equation whose roots are 2a + 3b and 3a + 2b is

  • Question 27
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    If S is the set of all real x such that   is positive, then S contains

  • Question 28
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