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State whether the following are true or false. Justify your answer. (ii) sec A = 12/5 for some value of angle A. Q.11(2)

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How i solve the ncert class 10 introduction to trigonometry question easily , please help me to find the easy solution of the exercise 8.1 question no. 11(2). Find the easiest way to solve this question.State whether the following are true or false. Justify your answer. (ii) sec A = 12/5 for some value of angle A

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  1. sec A = 12/5 for some value of angle A

    Answer: True

    Justification: Let a ΔMNC in which ∠N = 90º,

    MC=12k and MB=5k, where k is a positive real number.

    By Pythagoras theorem we get,

    MC2=MN2+NC2

    (12k)2=(5k)2+NC2

    NC2+25k2=144k2

    NC2=119k2

    Such a triangle is possible as it will follow the Pythagoras theorem.

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