List of practice Questions

The depiction of female figures in Mughal miniature school is less. However, in the paintings from your course, the artist has shown female figures and Mughal grandeur in:

Prove the identity: \(\displaystyle \frac{\cos A}{1 + \sin A} + \frac{1 + \sin A}{\cos A} = 2 \sec A.\)

A 1.5 m tall boy is standing at some distance from a 30 m tall building; find the distance he walked towards the building if the angle of elevation of the top increases from \(30^\circ\) to \(60^\circ\).

Prove that the lengths of tangents drawn from an external point to a circle are equal.

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm; find the height of the cylinder.

Find the HCF and LCM of 96 and 404 by the prime factorisation method and verify that \( \text{HCF} \times \text{LCM} = \) product of the two numbers.

Prove that \( \sqrt{3} \) (or \( \sqrt{5} \)) is an irrational number.

Find the value of \( k \) for which the quadratic equation \( 2x^2 + kx + 3 = 0 \) has two equal real roots.

Solve the pair of linear equations \( 2x + 3y = 11 \) and \( 2x - 4y = -24 \) using the substitution or elimination method.

What is the difference between a Static and Dynamic webpage?

Write the steps to use the VLOOKUP function to find data in a large spreadsheet.

What is Data Normalization, and why is it necessary for a database?

Explain the functions of SUM, AVERAGE, and COUNT in MS Excel.

Describe the process of Disk Defragmentation and why it is important for computer performance.

Explain the working of a 4×1 Multiplexer (MUX) with its function table and logic circuit.

Prove the De Morgan’s Theorems using a truth table.

Differentiate between Guided (Twisted Pair, Fiber Optic) and Unguided (Radio, Microwave) transmission media.

Explain the difference between Packet Switching and Circuit Switching.

Create an HTML Table showing "Subject" and "Marks" with a border of 2 pixels.

Explain the three modes of communication: Simplex, Half Duplex, and Full Duplex.

What is the difference between Client-Server and Peer-to-Peer network architectures?

Explain the different types of network topologies: Bus, Star, Ring, and Tree.

Write the HTML code to create a table with 3 rows and 2 columns.

How do you use the \texttt{ tag to insert an image into a webpage?}

What are the steps to perform a Mail Merge in MS Word?