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Maths-

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Easy

Question

$I f cos to the power of 2 end exponent invisible function application A plus cos to the power of 2 end exponent invisible function application B plus cos to the power of 2 end exponent invisible function application C equals 1 comma blank t h e n blank increment A B C blank i s$

Equilateral
Isosceles
Right angled
None of these

The correct answer is: Right angled

$W e blank h a v e cos to the power of 2 end exponent invisible function application A plus cos to the power of 2 end exponent invisible function application B minus open parentheses 1 minus cos to the power of 2 end exponent invisible function application C close parentheses equals 0 blank$
$rightwards double arrow cos to the power of 2 end exponent invisible function application A plus cos to the power of 2 end exponent invisible function application B minus sin to the power of 2 end exponent invisible function application C equals 0$
$rightwards double arrow cos to the power of 2 end exponent invisible function application A plus cos invisible function application open parentheses B plus C close parentheses cos invisible function application open parentheses B minus C close parentheses equals 0$
$rightwards double arrow 2 cos invisible function application A cos invisible function application B cos invisible function application C equals 0$
Hence, either $A blank o r blank B blank o r blank C blank i s blank 90 degree$

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If $cos invisible function application p theta plus cos invisible function application q theta equals 0 comma blank$ then the different values of $theta$ are in A.P. where the common difference is

If $cos invisible function application p theta plus cos invisible function application q theta equals 0 comma blank$ then the different values of $theta$ are in A.P. where the common difference is

If $x subscript 1 end subscript blank a n d blank x subscript 2 end subscript$ are the roots of the equation $e to the power of 2 end exponent blank. x to the power of ln invisible function application x end exponent equals x to the power of 3 end exponent blank w i t h blank x subscript 1 end subscript greater than x subscript 2 end subscript comma$ then

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parallel

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$I f blank x comma blank y comma blank z blank a r e blank i n blank A. P comma blank t h e n fraction numerator sin invisible function application x minus sin invisible function application z over denominator cos invisible function application z minus cos invisible function application x end fraction blank i s blank e q u a l blank t o$

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parallel

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parallel

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