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(sinA)x2+2(cosA)x+(cosA+sinA)½if this is a square of linear fn FIND GENRL VALUS FR A

sumit kadam , 12 Years ago

Grade 11

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:

$f(x) = (sinA)x^{2}+(cosA)(2x)+(cosA+sinA)^{1/2}$

$f(x) \rightarrow (x+1)^{2}$

$sinA =1$ ...(1)

$cosA =1$ ….(2)

$(cosA+sinA)^{1/2} =1$ …..(3)

From (1)

$A = n\pi + \pi /2$

From (2)

$A = n\pi$

From(3)

$cosA+sinA = 1$

$(2)^{1/2}sin(A+\pi /4) = 1$

$sin(A+\pi /4) = \frac{1}{2^{1/2}}$

$A + \pi /4 = n\pi + \pi /4$

$A = n\pi$

There is not any intersection between solution ot (1), (2) and (3)

A is an null set.

Thanks & Regards

Jitender Singh

IIT Delhi

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