If $\alpha, \beta; (\alpha \ne \beta)$ satisfies the equation $a\cos\theta + b\sin\theta = c$, then the value of $\tan\left(\dfrac{\alpha + \beta}{2}\right)$ is
Previous 10 Questions — AMU MCA 2019
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Let $A, B$ and $C$ are the angles of a plain triangle and $\tan\left(\dfrac{A}{2}\right)=\dfrac{1}{3},; \tan\left(\dfra…
Topic: AMU MCA 2019
If $\theta = \sin^{-1} x + \cos^{-1} x - \tan^{-1} x, x \ge 0$ then the smallest interval in which $\theta$ lies is
Topic: AMU MCA 2019
The equation $\sin x + \sin y + \sin z = -3$ for $0 \le x \le 2\pi,; 0 \le y \le 2\pi,; 0 \le z \le 2\pi$ has
Topic: AMU MCA 2019
The value of $\cot 70^\circ + 4\cos 70^\circ$ is
Topic: AMU MCA 2019
The domain of the function $f(x)=\log_{3+x}(x^2 - 1)$ is
Topic: AMU MCA 2019
If $a, b$ be two fixed positive integers such that $f(a + x)= b + \left[b^3 + 1 - 3b^2 f(x) + 3b{f(x) - (f(x))^3}\right…
Topic: AMU MCA 2019
Let $A={2,3,4,5,\ldots,16,17,18}$. Let $\approx$ be the equivalence relation on $A \times A$ cartesian product of $A$ a…
Topic: AMU MCA 2019
Let $Y={1,2,3,4,5},; A={1,2},; B={3,4,5}$ and $\phi$ denotes null set. If $(A \times B)$ denotes cartesian product of t…
Topic: AMU MCA 2019
An investigator interviewed $100$ students to determine the performance of three drinks milk, coffee and tea. The inves…
Topic: AMU MCA 2019
If the sum of the coefficient in the expansion of $(x + y)^n$ is $1024$, then the value of the greatest coefficient in …
Topic: AMU MCA 2019
Next 10 Questions — AMU MCA 2019
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A ray of light passing through the point $(1,2)$ is reflected on the $x$-axis at a point $P$ and passes through the poi…
Topic: AMU MCA 2019
The equation $4x^2 - 24xy + 11y^2 = 0$ represents
Topic: AMU MCA 2019
The length of the chord joining the points in which the straight line $\dfrac{x}{3} + \dfrac{y}{4} = 1$ cuts the circle…
Topic: AMU MCA 2019
The normal to the parabola $y^2 = 8x$ at the point $(2,4)$ meets the parabola again at the point
Topic: AMU MCA 2019
If a bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any …
Topic: AMU MCA 2019
The straight line $x + y = \sqrt{2},p$ will touch the hyperbola $4x^2 - 9y^2 = 36$ if
Topic: AMU MCA 2019
The function $f(x)=\dfrac{1 - \sin x + \cos x}{1 + \sin x + \cos x}$ is not defined at $x=\pi$. The value of $f(\pi)$, …
Topic: AMU MCA 2019
If $f(x)=\sin^2 x$ and the composite function $g(f(x))=|\sin x|$, then the function $g(x)$ is equal to
Topic: AMU MCA 2019
Area of the figure bounded by the curves $y=|x-1|$ and $y=3-|x|$ is
Topic: AMU MCA 2019
Let $x=\left[\dfrac{a+2b}{a+b}\right]$ and $y=\dfrac{a}{b}$, where $a$ and $b$ are positive integers. If $y^2>2$, then
Topic: AMU MCA 2019
