NIMCET 2026 Previous Year Questions (PYQs) – Page 12 of 12

NIMCET 2026 Previous Year Questions (PYQs) – Page 12 of 12

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🎓 NIMCET📅 Year: 2026📚 Mathematics🏷 Hyperbola

Find the area of the triangle formed in the right half-plane by the lines $x-y=0$ and $x+y=0$, and a tangent to the hyperbola $x^2-y^2=a^2$, where $a$ is a non-zero number.

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Computer Networks

When navigating to a website $($Web Browsing$)$, your computer sends a request to a server. If the server's IP address is not known, which system is responsible for "translating" the human-readable URL $($e.g., www.google.com$)$ into a machine-readable IP address?

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🎓 NIMCET📅 Year: 2026📚 Mathematics🏷 Definite Integration

Evaluate the following definite integral:$\int_{0}^{\frac{\pi}{4}} \frac{dx}{\cos^4 x}$

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Internet and Email

In the context of "Sending, receiving, and managing emails", what is the primary difference between the POP3 and IMAP protocols?

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🎓 NIMCET📅 Year: 2026📚 Mathematics🏷 Probability

A die is rolled twice independently. What is the probability that either the first die shows a number no less than 4 or the second die shows at least 4?

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 1s Complement 2s Complement

Which one of the following is decimal equivalent of $8$-bit two's complement number $11010011$?

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🎓 NIMCET📅 Year: 2026📚 Mathematics🏷 Definite Integration

If $f:[0,\infty)\to R$ is defined by $f(x)=\frac{x^2-1}{x^2+1}$, find the value of: $\int_{-1}^{1} f^{-1}(y)dy$

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Structure of instructions in CPU

A CPU uses a $16$-bit instruction format. If $4$ bits are used for the opcode and the remaining bits specify a single memory address, what is the maximum addressable memory space for this instruction format?

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🎓 NIMCET📅 Year: 2026📚 Mathematics🏷 Rectangular Cartesian Coordinates

A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (-1, 1) and (2, 3). Then the area of this triangle is

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🎓 NIMCET📅 Year: 2026📚 Computer🏷 Structure of instructions in CPU

In a standard machine language instruction, which component identifies the specific operation to be performed, such as addition or data movement?

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