List of practice Questions

The 'Law of the Minimum' was proposed by:

The angle between centripetal acceleration and tangential acceleration is.

A monospaced font is a font in which all characters are exactly of same width. A document uses a monospaced font for typesetting where each character is exactly 0.6 cm wide. A text line in this document contains only 10 words, where each word contains 6 characters. What is the length of the line in cm?

The linear momentum of a body of mass 8 kg is 24 kg m s$^{-1}$. If a constant force of 24 N acts on the body in the direction of the motion for a time of 3 s, then the increase in the kinetic energy of the body is
Identify the correct option from the following:

If $ 5 \sin^{-1} \alpha + 3 \cos^{-1} \alpha = \pi $, then $ \alpha = ? $

National Remote Sensing Day is celebrated on ________ every year.

\[ \int \frac{\tan^2 \sqrt{x}}{\sqrt{x}} \, dx \text{ is equal to:} \]

Find the maximum slope of the curve $ y = x^3 + 3x^2 + 9x - 30 $.

Let $ \vec{a} $ and $ \vec{b} $ be two co-initial vectors forming adjacent sides of a parallelogram such that:
\[ |\vec{a}| = 10, \quad |\vec{b}| = 2, \quad \vec{a} \cdot \vec{b} = 12 \] Find the area of the parallelogram.

The domain of the function $ f(x) = \cos^{-1}(2x) $ is:

The equation of the circle passing through the point $ (1, 2) $ and touching both axes is:

SDI stands for