List of top Questions asked in UP Board XII

Write about the classification of drones.
Write the difference between object-oriented and structured programming.
How do you use inheritance in OOP? Write with examples.
What is JDI?
What is the purpose of JIT compiler?
Name three challenges in robotics.
Who made drone technology?
Why was OOP needed?
What is core Java? Describe it in brief.
What is the difference between core Java and advanced Java?
Write any eight applications of robots.
Whose abbreviation is JVM?
Which component is used to compile, debug and execute the Java program?
A simple mechanical arm is an example of which generation of robots?
Where is drone used in construction industry?
What is OOP?
Who invented OOP?
If \(A = \begin{bmatrix} 3 & 1 \\ -1 & 2 \end{bmatrix}\), then show that \(A^2 - 5A + 7I = O\). Using this, obtain \(A^{-1}\).
If \( y = \sin^{-1} x \), then prove that \( (1 - x^2) \frac{d^2y}{dx^2} - x \frac{dy}{dx} = 0 \).
If \(A = \begin{bmatrix} 1 & 3 & 3 \\ 1 & 4 & 3 \\ 1 & 3 & 4 \end{bmatrix}\), then find \(A^{-1}\).
Solve: \( (1 + x^2)\frac{dy}{dx} + 2xy - 4x^2 = 0 \).
Prove that \(\int_0^\pi \sqrt{\frac{1+\cos 2x}{2}} \, dx = 2\).
At \( t = 2 \), the slope of the vector function \( \vec{f}(t) = 2\hat{i} + 3\hat{j} + 5t^2\hat{k} \) is
If the relation \( R \) is given by \[ R = \{(4, 5), (1, 4), (4, 6), (7, 6), (3, 7)\}, \] then find \( R^{-1} \circ R^{-1} \).
If \(A = \begin{bmatrix} 3 & \sqrt{3} & 2 \\ 4 & 2 & 0 \end{bmatrix}\) and \(B = \begin{bmatrix} 0 & 1/4 \\ 0 & 0 \\ 1/2 & 1/8 \end{bmatrix}\), then prove that \(|C| = 1\), where \(C = (A')' B\).