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If tan^(2)(pi(x+y))+cot^(2)(pi)x+y=1+sqr...

If `tan^(2)(pi(x+y))+cot^(2)(pi)x+y=1+sqrt((2x)/(1+x^(2)))` where x,y are real then the least positive value of y is

A

1

B

`1/4`

C

`1/2`

D

`3/5`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-TRIGNOMETRIC EQUATIONS-LECTURE SHEET (EXERCISE-II (Straight objectives Types Questions)
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  4. If 2tan^(2)x-5secx=1 for exactly 7 distinct values of x in [0,(npi)/2]...

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  5. For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

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  6. If 0lexlt2pi then the number of real values of x, which satisy the equ...

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  7. The number of solutions of sec^(2) theta + cosec^(2) theta + 2 cosec^(...

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  8. The number of solution is of the equations 2(sin^(4)2x+cos^(4)2x)+3sin...

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  9. The number of solutions of the equation 1+cosx+cos2x=sinx+sin2x+sin3x=...

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  10. The number of values of theta in the interval (-(pi)/2, (pi)/2) satist...

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  11. Let S={x in (-pi,pi),x!=0+-(pi)/2}. The sum of all distinct solution i...

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  12. Number of solutions to the equation |2e^(sin x) - 3 - e^(2 sin x)|= | ...

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  13. cos(alpha-beta)=1 and cos(alpha+beta)=1//e, where alpha, beta in [-pi,...

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  15. The number of solution of the pair of equations 2sin^(2)theta-cos 2 th...

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  16. The number of all the possible triplets (a(1), a(2), a(3)) such that a...

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  17. Smallest positive root of the equaiton sqrt(sin ( 1- x)) = sqrt( cos x...

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  18. The number of the solutions of the equation cos(pisqrt(x-4))cos(pisqrt...

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  19. For 0lt, y lt pi , the number of ordered pairs (x,y) satisfying the sy...

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