List of top Mathematics Questions asked in MET

\(\int_1^e \frac{\log x}{x} \, dx\) is

\(\int_{-\pi/2}^{\pi/2} |\sin x| dx\) is

\(\int_0^1 x(1-x)^{12 dx\) is equal to}

The function \(\sin x(1+\cos x)\), \(0 \le x \le \pi/2\), has maximum value when \(x\) is

If \(y=\sqrt{\sin x + \sqrt{\sin x + \cdots}}\), then \(\frac{dy}{dx}\) is

The function whose derivative is equal to itself is

If \(\tan^{-1}x + \tan^{-1}y + \tan^{-1}z = \pi\), then the value of \(x+y+z-xyz\) is

\(\sin^{-1}\frac{1}{\sqrt{5}} + \cos^{-1}\frac{3}{\sqrt{10}}\) is equal to

If \[ \begin{bmatrix} a & 2 & 3 b & 5 & -1 \end{bmatrix} \begin{bmatrix} 1 & 2 3 & 4 -1 & 1 \end{bmatrix} = \begin{bmatrix} 4 & 13 12 & 11 \end{bmatrix} \] then $(a,b)$ is

Pick out the wrong statement. If \(A\) and \(B\) are square matrices of the same order, then

\(\lim_{x\to0} \frac{\sin3x - \sin x}{\sin x}\) is

The value of \(\lim_{\theta \to 0} \frac{\tan\theta}{\theta}\) is

The eccentricity of the conic \(9x^2 - 16y^2 = 144\) is

The equation to the line through the point of intersection of \(x - y + 1 = 0\), \(3x + 2y + 4 = 0\) and perpendicular to \(x - 4y = 0\) is

The ratio in which the segment joining \((2,1)\) and \((0,-2)\) is divided by the line \(2x - 3y + 4 = 0\) is

A line cuts off on the coordinate axes positive intercepts whose sum is 4. If it passes through \((9/2,-5)\), its equation is

If \(A(-1,2)\), \(B(5,1)\), \(C(6,5)\) are the vertices of a parallelogram \(ABCD\). The equation to the diagonal through \(B\) is

The point on the line \(y = x\) equidistant from \((4,0)\) and \((5,1)\) is

If \(\sec A - \tan A + a = 0\), then \(\sin A\) is equal to

In a simple regular graph, total degree is 28. If the graph has more than one cycle in it, then the degree of each vertex is

If \(A, B, C\) are the angles of a triangle, then \(\cos B + \cos C - \cos A + 1\) is equal to

\(\cot^2\left(\frac{\pi}{4} + \frac{\theta}{2}\right)\) is equal to

\(\cos\frac{\pi}{12} + \cos\frac{17\pi}{12} + \cos\frac{11\pi}{12}\) is equal to

\(\frac{\cos\theta}{1-\tan\theta} + \frac{\sin\theta}{1-\cot\theta}\) is equal to

If \(\sin\theta = -\frac{24}{25}\) and \(\theta\) is in the 4th quadrant, \(7\tan\theta + 25\cos\theta\) is equal to