List of top Mathematics Questions asked in VITEEE

Convert the hexadecimal numeral ABCD into binary numeral

The value of \( (1 + \omega)^3 \), where \( \omega = e^{i 2\pi/3} \) is

The distance moved by the particle in time \( t \) is given by \[ s = t^3 - 12t^2 + 6t + 8 \] At the instant, when its acceleration is zero, its velocity is

The equation of one of the common tangents to the parabola \( y^2 = 8x \) and \( x^2 = 4y - 4 \) is

If \( A \) and \( B \) are matrices and \( AB = BA = A^{-1} \) then the value of \( (A + B)(A - B) \) is

The equation of one of the common tangents to the parabola \( y^2 = 8x \) and \( x^2 = 4y - 4 \) is

If \( |a| = 3, |b| = 2, |c| = 1 \) then the value of \[ |a \cdot b + b \cdot c + c \cdot c| \text{ is} \]

The moment about the point \( 2i + 3j + k \) of a force represented by \( i + j + k \) acting through the point \( 2i + 3j + k \) is

The probability of India winning a test match against Australia is \( \frac{1}{2} \), assuming independence from match to match. The probability that in a match series India’s second win occurs at third test match is

If the tangent to the function \( y = f(x) \) at \( (3, 4) \) makes an angle of \( \frac{3\pi}{4} \) with the positive direction of the x-axis in anticlockwise direction, then \( f'(3) \) is

The foci of the ellipse \( \frac{x^2}{144} + \frac{y^2}{81} = 1 \) and the hyperbola \( \frac{x^2}{144} - \frac{y^2}{81} = 1 \) coincide then value of \( b^2 \) is

The solution of the differential equation \[ (1 + y^2) + (x - e^{\tan^{-1}y}) \frac{dy}{dx} = 0 \] is

A tetrahedron has vertices at \( O(0,0,0), A(1,2,1), B(2,1,3) \) and \( C(-1,1,2) \). Then the angle between the faces \( OAB \) and \( ABC \) will be

The probability of India winning a test match against Australia is $\frac{1}{2}$ assuming independence from match to match. The probability that in a match series India�s second win occurs at third test match is

If $g(x)$ is a polynomial satisfying $g (x) g(y) = g(x) + g(y) + g(xy) - 2 $ for all real $x$ and $y$ and $g (2) = 5$ then $\Lt_{x \to 3} g(x)$ is

If $g(x)$ is a polynomial satisfying $g (x) g(y) = g(x) + g(y) + g(xy) - 2 $ for all real $x$ and $y$ and $g (2) = 5$ then $\Lt_{x \to 3} g(x)$ is

The value of $ (1 + \omega - \omega^2)^7$ is

If $f(x) = x^2 , g(x) = 2x,0 \leq x \leq 2$ then the value of $I(x) = \int\limits_0^2 max (f(x), g(x))$ is

If the tangent to the function $y = f(x) $ at $(3,4)$ makes an angle of $\frac{3 \pi }{4}$ with the positive direction of x-axis in anticlockwise direction then $f ' (3)$ is

The equation of one of the common tangents to the parabola $y^2 = 8x$ and $x^2 + y^2 - 12x + 4 = 0$ is

The number of surjective functions from $A$ to $B$ where $A = \{1, 2, 3, 4 \}$ and $B = \{a, b\}$ is

The value of $ (1 + \omega - \omega^2)^7$ is

If $|\vec{a} | = 3, |\vec{b}| = 2, |\vec{c}| = 1$ then the value of $|\vec{a}. \vec{b} + \vec{b} . \vec{c} + \vec{c} . \vec{a}| $ is (given that $\vec{a} + \vec{b} + \vec{c} = 0$)

What is the area of a loop of the curve $r = a \sin^3 \theta$ ?

In a culture the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000 if the rate of growth of bacteria is proportional to the number present.