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JEE Class main Answered

Sir, pls solve the following.
question image
Asked by rsudipto | 23 Dec, 2018, 09:05: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight Q equals PAP to the power of straight T
straight X equals straight P to the power of straight T straight Q to the power of 2005 straight P
straight P to the power of straight T straight P equals open square brackets table row cell fraction numerator square root of 3 over denominator 2 end fraction end cell cell fraction numerator negative 1 over denominator 2 end fraction end cell row cell fraction numerator negative 1 over denominator 2 end fraction end cell cell fraction numerator square root of 3 over denominator 2 end fraction end cell end table close square brackets open square brackets table row cell fraction numerator square root of 3 over denominator 2 end fraction end cell cell 1 half end cell row cell fraction numerator negative 1 over denominator 2 end fraction end cell cell fraction numerator square root of 3 over denominator 2 end fraction end cell end table close square brackets equals open square brackets table row 1 0 row 0 1 end table close square brackets
straight Q equals PAP to the power of straight T
straight Q squared equals open parentheses PAP to the power of straight T close parentheses open parentheses PAP to the power of straight T close parentheses
straight Q squared equals PA open parentheses straight P to the power of straight T straight P close parentheses open parentheses AP to the power of straight T close parentheses
straight Q squared equals PA open parentheses IA close parentheses straight P to the power of straight T
straight Q squared equals PA squared straight P to the power of straight T
Proceeding space similare space way comma
straight Q to the power of 2005 equals PA to the power of 2005 straight P to the power of straight T
straight A equals open square brackets table row 1 1 row 0 1 end table close square brackets space space or space space straight A squared equals open square brackets table row 1 2 row 0 1 end table close square brackets
straight A to the power of 2005 equals open square brackets table row 1 2005 row 0 1 end table close square brackets
straight X equals straight P to the power of straight T straight Q to the power of 2005 straight P
straight X equals straight P to the power of straight T left parenthesis PA to the power of 2005 straight P to the power of straight T right parenthesis straight P
straight X equals open parentheses straight P to the power of straight T straight P close parentheses straight A to the power of 2005 open parentheses straight P to the power of straight T straight P close parentheses
straight X equals IA to the power of 2005 straight I
straight X equals straight A to the power of 2005
straight X equals open square brackets table row 1 2005 row 0 1 end table close square brackets end style
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