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Question


If secθtanθ=45 and secθ+tanθ=m, then the value of (m+1)2 is equal to

A
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B
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C

5
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D
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Solution

The correct option is A
Given : secθtanθ=45...(i)and, secθ+tanθ=m...(ii)Multiplying (i) and (ii), we get(secθtanθ)×(secθ+tanθ)=45×msec2θtan2θ=4m51=4m5 (1+tan2θ=sec2θ)m=54 (m+1)2=(54+1)2=(94)2=8116
Hence, the correct answer is option a.

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