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Maths-

General

Easy

Question

$Q with dot on top subscript p superscript p left parenthesis cos invisible function application a x minus sin invisible function application b x right parenthesis squared$ (where a, b are integers) =

$- π$
0
$π$
2 $π$

The correct answer is: 2 $pi$

The centre of the sphere is (1, 2, –3) so if other extremity of diameter is (x₁, y₁, z₁), then
$fraction numerator x subscript 1 end subscript plus 2 over denominator 2 end fraction$ = 1, $fraction numerator y subscript 1 end subscript minus 1 over denominator 2 end fraction$ = 2, $fraction numerator z subscript 1 end subscript plus 1 over denominator 2 end fraction$ = –3
\ Required point is (0, 5, 7).
Hence (c) is the correct answer.

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