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Question

The value of $s i n to the power of 6 end exponent invisible function application theta plus c o s to the power of 6 end exponent invisible function application theta plus 3 s i n to the power of 2 end exponent invisible function application theta c o s to the power of 2 end exponent invisible function application theta$ is

0
1
2
3

The correct answer is: 1

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If $cos invisible function application open parentheses x minus y close parentheses equals negative 1$ , then $cos invisible function application x plus cos invisible function application y equals$

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The number of values of a for which $open parentheses a to the power of 2 end exponent minus 3 a plus 2 close parentheses x to the power of 2 end exponent plus open parentheses a to the power of 2 end exponent minus 5 a plus 6 close parentheses x plus a to the power of 2 end exponent minus 4 equals 0$ is an identity in x is

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Statement -1 : There exists only one real value of ‘k’ for which the real roots of the equation $k x to the power of 3 end exponent plus 3 x to the power of 2 end exponent minus 3 x plus 1 equals 0$ are in H.P. because
Statement - 2 : For a cubical equation $a x to the power of 3 end exponent plus b x to the power of 2 end exponent plus c x plus d equals 0 comma$ if b, c and d are non zero real and constant, then we can have only one real value of ‘a’ for which all real roots of $a x to the power of 3 end exponent plus b x to the power of 2 end exponent plus c x plus d equals 0$ are in H.P.

Statement -1 : There exists only one real value of ‘k’ for which the real roots of the equation $k x to the power of 3 end exponent plus 3 x to the power of 2 end exponent minus 3 x plus 1 equals 0$ are in H.P. because
Statement - 2 : For a cubical equation $a x to the power of 3 end exponent plus b x to the power of 2 end exponent plus c x plus d equals 0 comma$ if b, c and d are non zero real and constant, then we can have only one real value of ‘a’ for which all real roots of $a x to the power of 3 end exponent plus b x to the power of 2 end exponent plus c x plus d equals 0$ are in H.P.

parallel

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