Let the slope of the line 45x + 5y + 3 = 0 be 27r₁ + 9r₂/2 for so… | JEE Main 2024 Mathematics PYQ

NVAMediumJEE Main 2024 · 29 January, Shift 2Limits

Let the slope of the line $45x + 5y + 3 = 0$ be $27r_1 + \frac{9r_2}{2}$ for some $r_1, r_2 \in \mathbb{R}$ . Then $\lim_{x \to 3}\left(\frac{\int_{3}^{x} 8t^2\,dt}{\frac{3r_2x}{2} - r_2x^2 - r_1x^3 - 3x}\right)$ is equal to:

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