1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let α and β (α > β) be the roots of the equation x2 - 8x + q = 0. If α2 - β2 = 16, then what is the value of q?
A
- 15
B
- 10
C
10
D
15
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

The quadratic equation 3x2 - (k2 + 5k)x + 3k2 - 5k = 0 has real roots of equal magnitude and opposite sign. Which one of the following is correct?

A
0 < k < $\frac{5}{3}$
B
0 < k < $\frac{3}{5}$ only
C
$\frac{3}{5}$ < k < $\frac{5}{3}$
D
No such value of k exists
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If p and q are the non-zero roots of the equation x2 + px + q = 0, then how many possible values can q have?
A
Nil
B
One
C
Two
D
Three
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Consider all the real roots of the equation x4 - 10x2 + 9 = 0. What is the sum of the absolute values of the roots?
A
4
B
6
C
8
D
10
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