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

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

Let Δ(a, b, c, α) = $\left|\begin{array}{ccc} a & b & a \alpha+b \\ b & c & b \alpha+c \\ a \alpha+b & b \alpha+c & 0 \end{array}\right|$

If Δ(a, b, c, α) = 0 for every α > 0, then which one of the following is correct ? 
A
a, b, c are in AP 
B
a, b, c are in GP 
C
a, 2b, c are in AP 
D
a, 2b, c are in GP
4
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 : 

Let Δ(a, b, c, α) = $\left|\begin{array}{ccc} a & b & a \alpha+b \\ b & c & b \alpha+c \\ a \alpha+b & b \alpha+c & 0 \end{array}\right|$

If Δ(7, 4, 2, α) = 0, then α is a root of which one of the following equations ? 
A
7x2 + 4x + 2 = 0
B
7x2 - 4x + 2 = 0
C
7x2 + 8x + 2 = 0
D
7x2 - 8x + 2 = 0
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