jee-main 2024 Q74

jee-main · India · session1_31jan_shift1 Areas Between Curves Area Between Curves with Parametric or Implicit Region Definition
The area of the region $\left\{(x, y) : y ^ { 2 } \leq 4 x , x < 4 , \frac { x y (x - 1)(x - 2) } { (x - 3)(x - 4) } > 0 , x \neq 3 \right\}$ is
(1) $\frac { 16 } { 3 }$
(2) $\frac { 64 } { 3 }$
(3) $\frac { 8 } { 3 }$
(4) $\frac { 32 } { 3 }$ 
The area of the region $\left\{(x, y) : y ^ { 2 } \leq 4 x , x < 4 , \frac { x y (x - 1)(x - 2) } { (x - 3)(x - 4) } > 0 , x \neq 3 \right\}$ is\\
(1) $\frac { 16 } { 3 }$\\
(2) $\frac { 64 } { 3 }$\\
(3) $\frac { 8 } { 3 }$\\
(4) $\frac { 32 } { 3 }$
Paper Questions
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