List of top Mathematics Questions

$\dfrac{dy}{dx} = -\dfrac{y}{x}$ is a differential equation for a/an

Using the letters in the word TRICK a new word containing five distinct letters is formed such that T appears in the middle. The number of distinct arrangements is .............
$\displaystyle \int_{0}^{1} x\,dx + \int_{1}^{2} (2-x)\,dx = ...........$
The positive root of the equation $x^4 + x^2 - 2 = 0$ is ...........
Which of the following point(s) lies(lie) on the plane $2x + 3y + z = 6$?
If one of the diameters of a circle has end points $(2,0)$ and $(4,0)$, then the equation of that circle is
If $P = \{1, 2, -1, 3\}$, $Q = \{0, 4, 1, 3\}$ and $R = \{1, 6, 7\}$, then $P \cap (Q \cup R)$ =
Two dice are thrown simultaneously. The probability that the sum of the numbers obtained is divisible by 7 is
If $u(x)$ and $v(x)$ are differentiable at $x=0$, and if $u(0)=5$, $u'(0) = -3$, $v(0) = -1$ and $v'(0) = 2$, then the value of $\dfrac{d}{dx}\left(uv + \frac{u}{v}\right)$ at $x = 0$ is
cos(x + yx) =
The expression \[ \left| (a + 1)^2 \, (b + 1)^2 \, (c + 1)^2 \right| \] is equal to

Let $x_1$ and $x_2$ be the roots of the equation $ax^2 + bx + c = 0$ ($ac \neq 0$). Find the value of $\frac{1}{x_1} + \frac{1}{x_2}$.

For all \( n \in \mathbb{N}, 72n - 48n - 1 \) is divisible by
The solution of the differential equation \[ \frac{d^2y}{dx^2} + 3y = -2x \] is

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The degree of the differential equation \[ x = 1 + \frac{dy}{dx} + \frac{1}{2!} \left( \frac{d^2y}{dx^2} \right) + \frac{1}{3!} \left( \frac{d^3y}{dx^3} \right) + ... \]

The value of \[ \lim_{x \to 0} \int_0^x \sec^2 t \, dt \] is:
If the tangent at (1,1) on \( y^2 = x(2 - x^2) \) meets the curve again at P, then P is:
A line makes the same angle $\theta$ with each of the X and Z-axes. If the angle $\beta$ which it makes with Y-axis is such that $\sin^2 \beta = 3 \sin^2 \theta$, then $\cos^2 \theta$ equals

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If \( A(2,3) \) and \( B(-2,1) \) are two vertices of a triangle and the third vertex moves on the line \( 2x + 3y = 9 \), then the locus of the centroid of the new set of observations will be the triangle is

The inverse of matrix \[ \begin{pmatrix} 0 & 1 & -1 \\ 4 & -3 & 4 \\3 & -3 & 4 \end{pmatrix} \] is

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If \( A \) is a square matrix such that \( A^2 = A \) and \( B = I \), then \( AB + BA + I - (I - A)^2 \) is equal to:

The set of values of \( x \) satisfying the system of inequalities \( 5x + 2 < 3x + 8 \) and \( \frac{x^2}{x-1} < 4 \) is:
The maximum number of points into which 4 circles and 4 straight lines intersect, is

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If \( f(x) = [x \sin n\pi x] \), then which of the following is incorrect?