1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$\alpha$$ and $$\beta$$ be real number and z be a complex number. If z2 + $$\alpha$$z + $$\beta$$ = 0 has two distinct non-real roots with Re(z) = 1, then it is necessary that
A
$$\beta$$ $$\in$$ ($$-$$1, 0)
B
$$\left| \beta \right|$$ = 1
C
$$\beta$$ $$\in$$ (1, $$\infty$$)
D
$$\beta$$ $$\in$$ (0, 1)
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The equation $$\left| {1 - x} \right| + {x^2} = 5$$ hs
A
a rational root and an irrational root
B
two rational roots
C
two irrational roots
D
no real real roots
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$[x]$$ denote the greatest integer function. What is the number of solutions of the equation $${x^2} - 4x + [x] = 0$$ in the interval [0, 2] ?
A
Zero (no solution)
B
One
C
Two
D
Three
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If p and q are the roots of the equation $${x^2} - 30x + 221 = 0$$, what is the value of p3 + q3?
A
7010
B
7110
C
7210
D
7240
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