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Percentage \(= \dfrac{21}{25} \times 100 = 84\%\)
This two-blank question requires understanding the critical tone of the passage.
Blank (i): The agency never defined “untenable risk,” leaving it without a firm standard. This absence of a standard made it open and vulnerable to outside influence. Susceptible to means vulnerable or open to — exactly right. “Unaware of” doesn’t explain the influence, and “irritated at” changes the meaning entirely.
Blank (ii): Experts reacted negatively to the agency’s poor decision. They would pan it — meaning to criticize harshly. “Complimented” is the opposite, and “overlooked” means to ignore, not to criticize.
Correct Answers: Blank (i) = A (susceptible to), Blank (ii) = E (panned).
Compare $y = \alpha x - \beta x^2$ with $y = x \tan\theta - \frac{gx^2}{2u^2 \cos^2\theta}$.
- $\tan\theta = \alpha \implies \theta = \tan^{-1}\alpha$.
- Max height occurs at $x = \frac{\alpha}{2\beta}$ (where $dy/dx = 0$).
- $H = \alpha(\frac{\alpha}{2\beta}) - \beta(\frac{\alpha}{2\beta})^2 = \frac{\alpha^2}{2\beta} - \frac{\alpha^2}{4\beta} = \frac{\alpha^2}{4\beta}$.
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