Q.

Area enclosed by the curve given by |x60|+|y|= x 4  

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answer is 480.

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Detailed Solution

case(i)x<0|y|= x 4 +x60= 3x 4 60  
LHS= -ve not possible
 Case (ii) Let 0x60  
|y|= x 4 +x60= 5x 4 600x48  Case (iii)x60 |y|= x 4 (x60)= 3x 4 +60 60 3x 4 0x[60,80]  
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   Required area 480   

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