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Let the number of solutions of the equat...

Let the number of solutions of the equations `sinx =x^(2) - 4x +5` be `lambda`. The general solution of the equation
`1+tan((lambda^(2) - 2lambda + 1)theta) + 2/(1-tan((lambda^(2) + 2lambda+1)theta)=0` is

A

`npi + pi/4` only `n int Z`

B

`npi +- pi/4 , n int Z`

C

`npi+ pi/3`, only `n int Z`

D

`npi +- pi/3, n int Z`

Text Solution

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The correct Answer is:
D
4
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Knowledge Check

  • If the equation cos^(4)theta+sin^(4) theta+lambda=0 has real solutions for theta , then lambda lies in the interval :

    A
    `(-1/2, -1/4]`
    B
    `[-1, - 1/2]`
    C
    `[-3/2, - 5/4]`
    D
    `(-5/4, -1)`

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