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:

A quadratic equation is given by (a + b) x2 - (a + b + c) x + k = 0, where a, b, c are real.

If $\rm {k}=\frac{{c}}{2},({c} \neq 0)$, then the roots of the equation are :

Real and equal

Real and unequal

Real iff a > c

Complex but not real

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A quadratic equation is given by (a + b) x2 - (a + b + c) x + k = 0, where a, b, c are real.

If k = c, then the roots of the equation are:

$ \frac{a+c}{a+b}$ and $\frac{b}{a+b}$

$ \frac{a+c}{a+b} $ and $-\frac{b}{a+b} $

1 and $ \frac{c}{a+b}$

-1 and $-\frac{c}{a+b}$

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