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QJEEAdv05Maf6fd: JEE Advanced 2005 Mathematics - Class 11 JEEAdv05Maf6fd Solution: Find the range of values of for which

Find the range of values of

\,t

for which

</mo></mrow><mn>2</mn><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mi>sin</mi><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mi>t</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn><mo>−</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>5</mn><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mn>2</mn></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mn>2</mn></msup></mrow><mo>−</mo><mn>2</mn><mi>x</mi><mo>−</mo><mn>1</mn></mrow></mfrac></mrow><mo>,</mo><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mi>t</mi><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mo>∈</mo><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mi>π</mi><mn>2</mn></mfrac></mrow><mo>,</mo><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mrow data-mjx-texclass="ORD"><mfrac><mi>π</mi><mn>2</mn></mfrac></mrow></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>.</mo></math></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container>