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UPSC NDA II 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
A quadratic equation is given by (a+b)x2−(a+b+c)x+k=0, where a,b,c are real.

[NDA II 2023]

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Question : 36

Total: 120

If k=‌

,(c≠0), then the roots of the equation are :

Real and equal
Real and unequal
Real iff a > c
Complex but not real

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