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Complex Numbers...

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  • Question 1
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    Find the positive value of k for which the equations : x2  + kx + 64 = 0 and x2  –8x + k = 0 will have real roots:

  • Question 2
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    If one root of an equation is 2 + √5, then the quadratic equation is:

  • Question 3
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    Find the condition that one root is double the of ax2  + bx + c = 0

  • Question 4
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    If α+ β= -2 and αβ= -3 where a and are the roots of the equation, which is :

  • Question 5
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    If the roots of the equation x2  –15x2  + kx –45 = 0 are in A.P., find value of k:

  • Question 6
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    If the roots of the equation kx2  –3x -1= 0 are the reciprocal of the roots of the equation x2  + 3x –4 = 0 then K =

  • Question 7
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    If difference between the roots ofthe equation x2  –kx + 8 = 0 is 4 then the value of K is: 

  • Question 8
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    If α, βbe the roots of a quadratic equation if α+ β= -2, αβ= -3 Find quadratic equation:

  • Question 9
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    The roots of equation y3  + y2  –y –1 = 0 are

  • Question 10
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    If one of the roots of the equation x2  + px + a is √3 + 2, then the value of ‘p ’and ‘a ’is:

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