1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

A quadratic equation is given by

(3 + 2√2)x2 - (4 + 2√3)x + (8 + 4√3) = 0

What is the HM of the roots of the equation ? 
A
2
B
4
C
2√2
D
2√3
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

A quadratic equation is given by

(3 + 2√2)x2 - (4 + 2√3)x + (8 + 4√3) = 0

What is the GM of the roots of the equation ?
A
√2(√6 - √3 + √2 - 1)
B
√2(√6 + √3 - √2 - 1)
C
(√6 - √3 + √2 - 1)
D
(√6 + √3 + √2 - 1)
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
For how many quadratic equations, the sum of roots is equal to the product of roots?
A
0
B
1
C
2
D
Infinitely many
4
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
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