Q471. If \(log_2 (x^2-x) - log_2 (x-1) = 2\), find the value of \(x\).

Q472. If length of arc is \(20 \:cm\) and radius of circle of arc is \(10\: cm\) then find the angle made by the arc.

Q473. A given systems of equations is said to be inconsistent if \(_{--------------}\)

Q474. \(\mathbf{Passage:}\)

Bees play a crucial role in pollination, transferring pollen from one flower to another. This process is essential for the reproduction of many plants. Without bees, the ecosystem would suffer, and food production could be severely impacted.

Q.1: What is the importance of bees in the ecosystem?
Q.2: How would the ecosystem be affected without bees?

Q475. Choose the sentence with the correct article usage.

Q476. Identify the correct spelling:

Q477. What is the antonym of "deficient"?

Q478. Which of the following is not the property of transpose of a matrix?

Q479. What is the derivative of the function \(f(x) = 5x^3-2x^2+x-9\) with respect to \(x\)?

Q480. The _____________ represents the distance covered by an object.