List of top Questions asked in VITEEE

Domain of the function \(f(x)=\log_x(\cos x)\), is

Range of the function \(y=\sin^{-1}\left(\dfrac{x^2}{1+x^2}\right)\), is

If \(3\sin\theta+5\cos\theta=5\), then the value of \(5\sin\theta-3\cos\theta\) is equal to

A rod of length \(l\) slides with its ends on two perpendicular lines. Then, the locus of its mid point is

The equation of straight line through the intersection of the lines \(2x+y=1\) and \(3x+2y=5\) and passing through the origin is

The line joining \((5,0)\) to \((10\cos\theta,10\sin\theta)\) is divided internally in the ratio \(2:3\) at \(P\). If \(\theta\) varies, then the locus of \(P\) is

If \(2x+y+k=0\) is a normal to the parabola \(y^2=-8x\), then the value of \(k\) is

The value of
\[ \lim_{n\to\infty}\left[\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\cdots+\frac{1}{n(n+1)}\right] \] is equal to

If \(z=\dfrac{1-i\sqrt{3}}{1+i\sqrt{3}}\), then \(\arg(z)\) is

For what values of \(m\) can the expression
\[ 2x^2+mxy+3y^2-5y-2 \] be expressed as the product of two linear factors?

If \(B\) is a non-singular matrix and \(A\) is a square matrix, then \(\det(B^{-1}AB)\) is equal to

If \(f(x), g(x)\) and \(h(x)\) are three polynomials of degree 2 and
\[ \Delta(x)= \begin{vmatrix} f(x) & g(x) & h(x)\\ f'(x) & g'(x) & h'(x)\\ f''(x) & g''(x) & h''(x) \end{vmatrix} \] then \(\Delta(x)\) is a polynomial of degree

The chances of defective screws in three boxes \(A,B,C\) are \(\dfrac{1}{5},\dfrac{1}{6},\dfrac{1}{7}\) respectively. A box is selected at random and a screw drawn from it at random is found to be defective. The probability that it came from box \(A\), is

The value of \(\dfrac{\cos\theta}{1+\sin\theta}\) is equal to

If \(F\) is function such that \(F(0)=2,\ F(1)=3\), and
\[ F(x+2)=2F(x)-F(x+1)\ \text{for}\ x\geq 0, \] then \(F(5)\) is equal to

Let \(S\) be a set containing \(n\) elements. Then, number of binary operation on \(S\) is

The number of solutions of the equation \(\sin(e^x)=5+x-5^x\), is

If \(a^x=b^y=c^z=d^u\) and \(a,b,c,d\) are in GP, then \(x,y,z,u\) are in

If \(z\) satisfies the equation \(|z|=z-1+2i\), then \(z\) is equal to

Glycerol on treatment with oxalic acid at \(110^\circ C\) forms

The reaction, \(ROH + H_2CN_2\) in the presence of \(HBF_4\), gives the following product

Transition metals usually exhibit highest oxidation states in their

Which of the following converts \(CH_3CONH_2\) to \(CH_3NH_2\)?

Which metal aprons are worn by a radiographer to protect him from radiation?

Nitrobenzene can be converted into azobenzene by reduction with