Explore topic-wise InterviewSolutions in Current Affairs.

Pick the graph(s) which corresponds to a function.

If $A$ is the solution set of the equation ${\log }_{x}2\cdot {\log }_{2x}2={\log }_{4x}2$ and $B$ is the solution set of the equation $x^{{\log }_x(3-x{)}^2}=25,$ then $n(A\cup B)$ is equal to

If y = $\sqrt{x+\sqrt{y+\sqrt{x+\sqrt{y+...\infty }}}}$ , then $\frac{dy}{dx}$ is equal to

Which of the following options is equal to $\frac{\sin \theta +1-\cos \theta }{\cos \theta -1+\sin \theta }?$

The foci of the hyperbola$9x^2-16y^2=144$ are

If $p\left(y\right)=2y^3-6y^2-5y+7$ then find $p\left(2\right)$.

The value of $\sum _{k=1}^6(\sin \frac{2k\pi }{7}-\cos \frac{2k\pi }{7})$ is

${\left[\right(A^{\prime }\cup B^{\prime })-A]}^{\prime }$=___

The value of ${}^{30}{C}_0$${}^{30}{C}_{1}0$ - ${}^{30}{C}_1$${}^{30}{C}_{11}$ + ${}^{30}{C}_2$${}^{30}{C}_{12}$ - .......... + ${}^{30}{C}_{20}$${}^{30}{C}_{30}$ is

Angle of intersection of the curves $4x^2+9y^2=72$ and $x^2-y^2=5$ at $(3,2)$ is equal to

Two numbers b and c are chosen at random (with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9). The probability that $x^2+bx+c>0$ for all $x\in R$ is

The general solution(s) of the equation $\cos \theta +\cos 7\theta =0$ can be ($n\in Z$)

The equation of the curve which passes through the point (1, 1) and whose slope is given by $\frac{2y}{x}$, is

Let $f$ be a real valued function defined as $f\left(x\right)=x^2+x^2\underset{-1}{\overset{1}{\int }}t\cdot f\left(t\right)dt+x^3\underset{-1}{\overset{1}{\int }}f\left(t\right)dt.$ Then which of the following hold(s) good ?

In a triangle $ABC,a^{3}cos(B-C)+b^{3}cos(C-A)+c^{3}cos(A-B)=$

If ${}^{20}{C}_r{=}^{20}{C}_{r-10},$ then ${}^{18}{C}_r$ is equal to

$iff:N\to Nisdefinedbyf\left(n\right)=n-(-1{)}^n,then$

Paragraph for below question

नीचे दिए गए प्रश्न के लिए अनुच्छेद



If f(x) is a function, then antiderivative of f(x) is represented as $\int f\left(x\right)dx$



Given $\int e^x\left(f\right(x)+f^{\prime }(x\left)\right)dx=e^{x}f\left(x\right)+c$ and $\int \left(f\right(x)+x\cdot f^{\prime }(x\left)\right)dx=x\cdot f\left(x\right)+c$



Choose the correct answer.



यदि f(x) एक फलन है, तब f(x) के प्रतिअवकलज को $\int f\left(x\right)dx$ रूप में प्रदर्शित किया गया है।



दिया है $\int e^x\left(f\right(x)+f^{\prime }(x\left)\right)dx=e^{x}f\left(x\right)+c$ तथा $\int \left(f\right(x)+x\cdot f^{\prime }(x\left)\right)dx=x\cdot f\left(x\right)+c$



सही उत्तर का चयन कीजिए।



Q. $\int e^x\cdot \left(\sin x+\tan x+\frac{1}{\sec x}+\frac{1}{{\cos }^{2}x}\right)dx$ is equal to



प्रश्न - $\int e^x\cdot \left(\sin x+\tan x+\frac{1}{\sec x}+\frac{1}{{\cos }^{2}x}\right)dx$ का मान है

If $\frac{x+\sqrt{x+2}}{x-\sqrt{x+2}}\ge 1,$ then

If $x=3,y=\omega +2{\omega }^2$ and $z={\omega }^2+2\omega ,$ then $xyz$ is equal to

If the function $f$ defined as $f\left(x\right)=\frac{1}{x}-\frac{k-1}{e^{2x}-1},x\ne 0,$ is continuous at $x=0$,then the ordered pair $(k,f\left(0\right))$ is equal to:

If for x≠0, y≠0, then D is