1
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 + T+ T3 + ... + Tn equal to ?
A
2n
B
2n - 1
C
2n - 1
D
2n + 1
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:

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

Which one of the following is a possible expression for g(x)?
A
$ \sqrt{x+1}-\sqrt[4]{x+1} $
B
$ \sqrt{x+1}-\sqrt[4]{x+1}+1 $
C
$ \sqrt{x+1}+\sqrt[4]{x+1} $
D
$ x+1-\sqrt{x+1}+1$
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:

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

What is g(15) equal to ?
A
1
B
2
C
3
D
4
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 a function f be defined on ℝ - {0} and $\rm 2 f(x)+f\left(\frac{1}{x}\right)=x+3 $.

What is f(0.5) equal to ?
A
$\frac{1}{2}$
B
$\frac{2}{3}$
C
1
D
2
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