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The value of 'a' for which the equation ...

The value of 'a' for which the equation `4cosec^(2)pi(a+x)+a^(2)-4a=0` has a real solution is

A

a=1

B

a=2

C

a=10

D

None of these

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. Find the number of solutions to sin {x} = cos {x}, where {*} denotes t...

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  2. If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at lea...

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  3. The value of 'a' for which the equation 4cosec^(2)pi(a+x)+a^(2)-4a=0 h...

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  4. If the equation 2 cos x + cos 2 lambda x=3 has only one solution , t...

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  5. Let n be a positive integer such that sin (pi/(2n))+cos(pi/(2n))=(sqrt...

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  6. The number of solution of the equation 5 sec theta -13=12 tan theta ...

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  7. The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le...

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  8. If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ), then sin thet...

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  9. The equation sin x + sin y + sin z =-3 for 0 le x le 2pi , 0 le y l...

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  10. If x= npi+(-1)^(n)alpha , n in I and x=npi+(-1)^(n)beta are the root...

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  11. If tan m theta = tan n theta and general value of theta are in AP,...

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  12. If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

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  13. lambda cos x - 3 sinx=lambda +1 is solvable for which value of λ .

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  14. cos 2x- 3 cos x + 1=(1)/((cot 2 x - cot x)sin (x-pi)) holds , if

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  15. If sec x cos 5x=-1 and 0 lt x lt (pi)/(4), then x is equal to

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  16. If sin^(100) theta - cos^(100) theta =1 , then theta is

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  17. If sqrt(3) sin x - cos x ="min"(alpha in R){2,e^(2),pi, alpha^(2)-4al...

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  18. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

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  19. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

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  20. If e^[(sin^(2)x+sin^(4) x +sin^(6)x+.... oo) loge2] satisfies the equ...

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