1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let p, q(p > q) be the roots of the quadratic equation x2 + bx + c = 0 where c > 0. If p2 + q2 − 11pq = 0, then what is p − q equal to ?
A
3$\sqrt{\text{c}}$
B
3c
C
9$\sqrt{\text{c}}$
D
9c
2
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 + px + q = 0. If α3 and β3 are the roots of the equation x+ mx + n = 0, then what is the value of m + n ?
A
p3 + q3 + pq
B
p3 + q3 - pq
C
p3 + q3 + 3pq
D
p3 + q3 - 3pq
3
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
4
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
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