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QJEEAdv78Ma6b14: JEE Advanced 1978 Mathematics - Class 11 JEEAdv78Ma6b14 Solution: Sketch the solution set of the following system of inequalities:

Sketch the solution set of the following system of inequalities: </mo></mrow><mrowdata−mjx−texclass="ORD"><msup><mi>x</mi><mn>2</mn></msup></mrow><mo>+</mo><mrowdata−mjx−texclass="ORD"><msup><mi>y</mi><mn>2</mn></msup></mrow><mo>−</mo><mn>2</mn><mi>x</mi><mo>≥</mo><mn>0</mn><mo>;</mo><mstylescriptlevel="0"><mspacewidth="0.167em"></mspace></mstyle><mstylescriptlevel="0"><mspacewidth="0.167em"></mspace></mstyle><mn>3</mn><mi>x</mi><mo>−</mo><mi>y</mi><mo>−</mo><mn>12</mn><mo>≤</mo><mn>0</mn><mo>;</mo><mstylescriptlevel="0"><mspacewidth="0.167em"></mspace></mstyle><mstylescriptlevel="0"><mspacewidth="0.167em"></mspace></mstyle><mi>y</mi><mo>−</mo><mi>x</mi><mo>≤</mo><mn>0</mn><mo>;</mo><mstylescriptlevel="0"><mspacewidth="0.167em"></mspace></mstyle><mstylescriptlevel="0"><mspacewidth="0.167em"></mspace></mstyle><mi>y</mi><mo>≥</mo><mn>0.</mn></math></mjx−assistive−mml></mjx−container></mjx−assistive−mml></mjx−container></mjx−assistive−mml></mjx−container></mo></mrow><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mn>2</mn></msup></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><msup><mi>y</mi><mn>2</mn></msup></mrow><mo>−</mo><mn>2</mn><mi>x</mi><mo>≥</mo><mn>0</mn><mo>;</mo><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mn>3</mn><mi>x</mi><mo>−</mo><mi>y</mi><mo>−</mo><mn>12</mn><mo>≤</mo><mn>0</mn><mo>;</mo><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mi>y</mi><mo>−</mo><mi>x</mi><mo>≤</mo><mn>0</mn><mo>;</mo><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mi>y</mi><mo>≥</mo><mn>0.</mn></math></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container>

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