JEE Mains · Maths · STD 12 - 7.2 definite integral
Let the slope of the line \(45 x+5 y+3=0\) be \(27 r_1+\frac{9 r_2}{2} \quad\) for some \(r_1, \quad r_2 \in R\). Then \(\operatorname{Lim}_{x \rightarrow 3}\left(\int_3^\pi \frac{8 t^2}{\frac{3 r_2 x}{2}-r_2 x^2-r_1 x^3-3 x} d t\right)\) is equal to ...........
- A \(77\)
- B \(12\)
- C \(13\)
- D \(15\)
Answer & Solution
Correct Answer
(B) \(12\)
Step-by-step Solution
Detailed explanation
According to the question, \( 27 \mathrm{r}_1+\frac{9 \mathrm{r}_2}{2}=-9 \) \( \lim _{x \rightarrow 3} \frac{\int_3^\pi 8 t^2 d t}{\frac{3 r_2 x}{2}-r_2 x^2-r_1 x^3-3 x} \)…
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