1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
In a binomial expansion of $(x+y)^{2 n+1}(x-y)^{2 n+1}$, the sum of middle terms is zero. What is the value of $\left(\frac{x^2}{y^2}\right)$ ?
A

1

B

2

C

4

D

8

2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Consider the equation (1 - x)+ (5 - x)4 = 82.

What is the number of real roots of the equation?
A
0
B
2
C
4
D
8
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Consider the equation (1 - x)+ (5 - x)4 = 82.

What is the sum of all the roots of the equation?
A
24
B
12
C
10
D
6
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let (1 + x)n = 1 + T1x + T2x2 + T3x3 + ... + Tnxn.

What is T1 + 2T2 + 3T3 + ... + nTn equal to ?
A
0
B
1
C
2n
D
n2n - 1
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