MCQ
If $x$ is a real number and $|x|<5$, then

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

$\text{If}\ \sin\alpha+\sin\beta=\text{a}\text{ and }\cos\alpha-\cos\beta=\text{b},\ \text{than }\tan\frac{\alpha-\beta}{2}=$
Mark the correct answer for $(1+ i )^{-1}=$ ?
If $\text{y}=\frac{\sin(\text{x}+9)}{\cos\text{x}},$ then $\frac{\text{dy}}{\text{dx}}$ at x = 0 is:
The angle of intersection of the curves ${y^2} = 2x/\pi $ and $y = \sin x$, is
Let $E$ denote the parabola $y^2=8 x$. Let $P=(-2,4)$, and let $Q$ and $Q^{\prime}$ be two distinct points on $E$ such that the lines $PQ$ and $PQ$ ' are tangents to $E$. Let $F$ be the focus of $E$. Then which of the following statements is (are) $TRUE$?

$(A)$ The triangle $PFQ$ is a right-angled triangle

$(B)$ The triangle $QPQ ^{\prime}$ is a right-angled triangle

$(C)$ The distance between $P$ and $F$ is $5 \sqrt{2}$

$(D)$ $F$ lies on the line joining $Q$ and $Q ^{\prime}$

Probability is $0.45$ that a dealer will sell at least $20$ television sets during a day, and the probability is $0.74$ that he will sell less that $24$ televisions. The probability that he will sell $20, 21, 22$ or $23$ televisions during the day, is:
The formula to find the sum of $n$ terms of geometric progression is :
The average incomes of the people in two villages are $P$ and $Q$, respectively. Assume that $P \neq Q$. A person moves from the first village to the second village. The new average incomes are $P^{\prime}$ and $Q$, respectively. Which of the following is not possible?
Let $f(x)=x^2+9, g(x)=\frac{x}{x-9}$ and $\mathrm{a}=\mathrm{fog}(10), \mathrm{b}=\operatorname{gof}(3)$. If $\mathrm{e}$ and $1$ denote the eccentricity and the length of the latus rectum of the ellipse $\frac{x^2}{a}+\frac{y^2}{b}=1$, then $8 e^2+1^2$ is equal to.
The natural domain of the real valued function defined by $f(x) = \sqrt {{x^2} - 1} + \sqrt {{x^2} + 1} $ is