1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let α and β be the roots of the equation x2 - ax - bx + ab - c = 0. What is the quadratic equation whose roots are a and b?
A
x2 - αx - βx + αβ + c = 0
B
x2 - αx - βx + αβ - c = 0
C
x+ αx + βx + αβ + c = 0
D
x2 + αx + βx + αβ - c = 0
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the roots of the equation x2 - ax - bx - cx + bc + ca = 0 are equal, then which one of the following is correct?
A
a + b + c = 0
B
a - b + c = 0
C
a + b - c = 0
D
-a + b + c = 0
3
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
4
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
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