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Nirabhra Agrawal Grade: 12
        


Find the value of a for which

4cosec2  ( π (a + x)) +a2 - 4a = 0 has a real solution.

6 years ago

Answers : (2)

Priyansh Bajaj AskiitiansExpert-IITD
30 Points
										

Dear Nirabhra,

Solution:- 4cosec2(n(a+x)) + a2 - 4a =0


[4cosec2(n(a+x)) -4] + (a2 - 4a + 4) =0


4[cosec2(n(a+x)) -1] + (a-2)2 =0


[2cot(n(a+x))]2 + (a-2)2 =0 which means a =2 and cot(n(a+x)) =0


Ans: a= 2

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Askiitians Experts
Priyansh Bajaj

6 years ago
kirankumar kishor
31 Points
										

 

Dear Nirabhra,

Solution:- 4cosec2(n(a+x)) + a2 - 4a =0


[4cosec2(n(a+x)) -4] + (a2 - 4a + 4) =0


4[cosec2(n(a+x)) -1] + (a-2)2 =0


[2cot(n(a+x))]2 + (a-2)2 =0 which means a =2 and cot(n(a+x)) =0


6 years ago
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