NDA Mathematics 3 September 2023 | NDA Year Wise Previous Years Questions

Mathematics

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

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 ?

2ⁿ

n2n - 1

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

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

What is 1 - T1 + 2T2 - 3T3 + ... + (-1)nnTn equal to ?

-2n - 1

n2n - 1

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

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

What is T1 + T2 + T3 + ... + Tn equal to ?

2n - 1

2n + 1

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

Let f(x) = x2 - 1 and gof(x) = x - √x + 1.

Which one of the following is a possible expression for g(x)?

$ \sqrt{x+1}-\sqrt[4]{x+1} $

$ \sqrt{x+1}-\sqrt[4]{x+1}+1 $

$ \sqrt{x+1}+\sqrt[4]{x+1} $

$ x+1-\sqrt{x+1}+1$