Let $P={\theta;\ \sin\theta - \cos\theta = \sqrt{2}\cos\theta}$ and $Q={\theta;\ \sin\theta + \cos\theta = \sqrt{2}\sin\theta}$ be two sets. Then,
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The function $f(x)=x-[x]$ where $[,]$ denotes the greatest integer function is
Topic: AMU MCA 2017
If $f(x)=x e^{x(1-x)}$, then $f(x)$ is
Topic: AMU MCA 2017
The range of the function $f(x)=\frac{2+x}{2-x},\ x\ne2$ is
Topic: AMU MCA 2017
If $\sin(\alpha+\beta)=1,\ \sin(\alpha-\beta)=\frac{1}{2},\ \alpha,\beta\in\left[0,\frac{\pi}{2}\right]$ then the value…
Topic: AMU MCA 2017
Using the information from the figure, $\cos^{-1} x$ is equal to
Topic: AMU MCA 2017
Let $f(x)$ be a function defined by
$f(x)=\begin{cases}4x-5,\ x\le2 \ x-\lambda,\ x>2 \end{cases}$
If $\lim_{x\to2} f(x…
Topic: AMU MCA 2017
The tangent of the angle between the lines whose intercepts on the axes are respectively $a,-b$ and $b,-a$ is
Topic: AMU MCA 2017
The equation of the circle whose radius is $5$ and which touches the circle
$x^2+y^2-2x-4y-20=0$ externally at the poin…
Topic: AMU MCA 2017
The variance of $20$ observations is $5$. If each observation is multiplied by $2$, then the variance of the resulting …
Topic: AMU MCA 2017
If the sum of $n$ terms of an AP is
$S_n=nR+\frac{1}{2}n(n-1)T$, where $R$ and $T$ are constants, then the common diffe…
Topic: AMU MCA 2017
