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QJEEAdv07Ma3710: JEE Advanced 2007 Mathematics - Class 11 JEEAdv07Ma3710 Solution: The number of solutions of the pair of equations 2co{s^2} - 3 = …

The number of solutions of the pair of equations </mo></mrow><mstylescriptlevel="0"><mspacewidth="0.167em"></mspace></mstyle><mn>2</mn><mrowdata−mjx−texclass="ORD"><msup><mi>sin</mi><mn>2</mn></msup></mrow><mi>θ</mi><mo>−</mo><mi>cos</mi><modata−mjx−texclass="NONE">⁡</mo><mn>2</mn><mi>θ</mi><mo>=</mo><mn>0</mn></math></mjx−assistive−mml></mjx−container></mjx−assistive−mml></mjx−container></mjx−assistive−mml></mjx−container><span></mo></mrow><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mn>2</mn><mrow data-mjx-texclass="ORD"><msup><mi>sin</mi><mn>2</mn></msup></mrow><mi>θ</mi><mo>−</mo><mi>cos</mi><mo data-mjx-texclass="NONE">⁡</mo><mn>2</mn><mi>θ</mi><mo>=</mo><mn>0</mn></math></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container><span></span><span></span><span>2co{s^2}\theta - 3\sin \theta = 0</span></span>

in the interval [0,2π]\left[ {0,2\pi } \right]

Multiple Choice Options

  • A zero
  • B one
  • C two
  • D four

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