# NDA MATHEMATICS QUIZ-9

Attempt now to get your rank among 415 students!

## Question 1:

If $\mathrm{ABC}$ be a triangle than

a secB $\sec C+b \sec A \sec C+c \sec A \sec B$ is equal to:

## Question 2:

Segment of the tangent to the curve $x y=1$ contained  between the coordinate axes is bisected at.

## Question 3:

The function $f(x)=1+x^2+x^4$ is strictly increasing for

## Question 4:

If $n=10, \Sigma x=4, \Sigma y=3, \Sigma x^2=8, \Sigma y^2=9$ and $\Sigma x y=3$, then coefficient of correlation is

## Question 5:

$\int \frac{d x}{\sqrt{6 x-x^{2}}}$ equals:

## Question 6:

If $A =$$\left\{6^{n}-{5} n-1: n \in N\right\}$ and $B=\{25(n-1) n \in N\}$

## Question 7:

What is the value of $\sin ^{-1} \frac{4}{5}+\sec ^{-1} \frac{5}{4}-\frac{\pi}{2}$ ?

## Question 8:

The number of numbers between 200 and 4000 can be formed by using the digit 0,1 , $2,3,4$ and 5 , no digit being repeated in any number is.

## Question 9:

If $\mathrm{i}^{2}=-1$ then value of $\sum \mathrm{i}^{2n+1} \mathrm{}$ is equal to:

## Question 10:

It $2 a+3 b=18$ and $4 a^{2}+4 a b-3 b^{2}=36$ then

$b^{2}-2 a$ is