List of top Mathematics Questions asked in AP EAPCET

Let \[ f(x)=\int \frac{\sqrt{x}}{(1+x)^2}\,dx \quad (x\geq 0) \] Then \[ f(3)-f(1) \] is equal to:

In a triangle \(\triangle ABC\), if \(a, b,\) and \(c\) are in arithmetic progression, then \(\cos A + 2 \cos B + \cos C =\)

Gas is being pumped into a spherical balloon at the rate of $ 30 \, \text{ft}^3/\text{min} $. Then the rate at which the radius increases when it reaches the value $ 15 \, \text{ft} $ is:

If the direction ratios of two lines are given by $ l + m + n = 0 $ and $ mn - 2ln + lm = 0 $, then the angle between the lines is:

Identify the correct set of molecules with zero dipole moment:

If the area of triangle \(ABC\) is \(b^2 - (c - a)^2\), then \(\tan B =\)

In a \(\triangle ABC\), \(a = 1, b = \sqrt{3}\) and \(\angle C = \frac{\pi}{6}\). Then the measure of the third side \(c =\)

If \(I = \int \frac{\sin x + \sin^3 x}{\cos 2x} dx = P \cos x + Q \log \left| \frac{\sqrt{2} \cos x - 1}{\sqrt{2} \cos x + 1} \right|\) (where \(c\) is a constant of integration), then values of \(P\) and \(Q\) are respectively

The value of \[ \lim_{n \to \infty} \left\{ \frac{1}{n+m} + \frac{1}{n+2m} + \frac{1}{n+3m} + \dots + \frac{1}{n+nm} \right\} \] is:

The equation of the normal to the curve \( y = \log_e x \) at the point \( P(1,0) \) is ____.

Let the function $ f(x) $ be defined as $ f(x) = \frac{x - |x|}{x} $, then: