MHT CET202016 Oct 2020Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If = -12 13 , = -4 5 and , lie in the third quadrant, then ( - )=

Options

A-33 56
B-56 33
C56 33
D33 56

Correct answer

D. 33 56

Step-by-step solution

(D) = -12 13 = 1- ( -12 13 )² = 25 169 = 5 13 is in third quadrant =- 5 13 = = 12 5 =- 4 5 = 1- ( -4 5 )² = 9 25 = 3 5 is in third quadrant = -3 5 = = 3 4 ( - )= - 1+ = 12 5 - 3 4 1+ ( 12 5 3 4 ) = 33 20 56 20 = 33 56

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