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 From the equation whose roots are
 3,2
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Solution :1a
 5,4
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Solution :1b
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Solution :1c

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Solution :1d
 3+5i,i5i
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Solution :1e
 a+ib,aib
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Solution :1f

 Find a quadratic equation whose roots are twice the roots of
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Solution :2a
 Find a quadratic equation whose roots are reciprocals of the roots of
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Solution :2(b)
 Find a quadratic equation whose roots are greater by h than the roots of
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Solution :2(c)
 Find a quadratic equation whose roots are the squares of the roots of
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Solution :2(d)
 Find a quadratic equation with rational coefficients one of whose roots is
 4+3i
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Solution :3a

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Solution :3b
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Solution :3c
 Find the value of k so that the equation
 has one root 3
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Solution :4a
 has roots whose sum is equal to 6
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Solution :4b
 has roots equal but opposite in sign
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Solution :4c
 has roots numerically equal but opposite in sign
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Solution :4d
 has one root equal to zero
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Solution :4e
 has the reciprocal roots
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Solution :4f
 has roots whose difference is
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Solution :4g
 Show that 1 is a root of the equation x^2+(2abc)x+(c+a2b)=0\). Find the other root.
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Solution :5
 Find the value of m for which the equation will have (a) reciprocal roots (b) one root zero.
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Solution :6
 If the roots of the equation differ by 1, prove that
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Solution :7
 If are the roots of the equation , find the equation whose roots are
 and
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Solution :8a
 and
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Solution :8(b)
 If are the roots of the equation , find the equation whose roots are
 and
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Solution :9a
 and
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Solution :9b
 and
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Solution :9c
 the reciprocal of the roots of given equation
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Solution :9d

 If the roots of the equation be in the ratio of 3:4, prove that
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Solution :10a
 If one root of the equation be four times the other root, show that
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Solution :10b
 For what values of m, the equation may have its root in the ratio 2:3
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Solution :10c

 If are the roots of the equation , prove that
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Solution :11a
 If roots of the equation be in the ratio of p:q, prove that
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Solution :11b
 If one root of the equation be square of the other root, prove that
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Solution :12