jee-advanced 2024 Q2

jee-advanced · India · paper2 3 marks Areas Between Curves Area Between Curves with Parametric or Implicit Region Definition

Let $S = \left\{ ( x , y ) \in \mathbb { R } \times \mathbb { R } : x \geq 0 , y \geq 0 , y ^ { 2 } \leq 4 x , y ^ { 2 } \leq 12 - 2 x \right.$ and $\left. 3 y + \sqrt { 8 } x \leq 5 \sqrt { 8 } \right\}$. If the area of the region $S$ is $\alpha \sqrt { 2 }$, then $\alpha$ is equal to
(A) $\frac { 17 } { 2 }$
(B) $\frac { 17 } { 3 }$
(C) $\frac { 17 } { 4 }$
(D) $\frac { 17 } { 5 }$

Let $S = \left\{ ( x , y ) \in \mathbb { R } \times \mathbb { R } : x \geq 0 , y \geq 0 , y ^ { 2 } \leq 4 x , y ^ { 2 } \leq 12 - 2 x \right.$ and $\left. 3 y + \sqrt { 8 } x \leq 5 \sqrt { 8 } \right\}$. If the area of the region $S$ is $\alpha \sqrt { 2 }$, then $\alpha$ is equal to\\
(A) $\frac { 17 } { 2 }$\\
(B) $\frac { 17 } { 3 }$\\
(C) $\frac { 17 } { 4 }$\\
(D) $\frac { 17 } { 5 }$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17