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The equation cosec theta = (x^(2)+y^(2))...

The equation `cosec theta = (x^(2)+y^(2))/(2 xy)` is `(x != 0, y != 0)`

A

possible for `x=y`

B

possible for all real values of x and y

C

impossible for all real values of x and y

D

can't be determined

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-TRIGONOMERTIC RATIOS-PRACTICE EXERCISE
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  2. If cos^(2) x + cos^(4) x =1 then tan^(2) x + tan^(4) x=

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  3. If sin theta + sin^(2) theta =1 then cos^(4) theta + cos^(8) theta + 2...

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  5. If cos theta - sin theta = sqrt(2) sin theta " then " cos theta + si...

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  6. If Cos theta - Sin theta = sqrt(2) Cos theta then Cos theta + Sin thet...

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  7. If a = Cos theta - Sin theta, b = Cos^(3) theta - Sin^(3) theta, then

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  8. If sec^(6) theta - tan^(6) theta = a sec^(4) theta + b sec^(2) theta +...

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  9. If x=r cos alpha cos beta cos gamma , y= cos alpha cos beta sin gamma...

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  10. If x= cot theta + cos theta , y= cot theta - cos theta , " then " (x^...

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  11. If tan theta + sin theta = m, tan theta - sin theta = n " then " (m^(...

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  12. If x= a cos^(2) theta sin theta and y= a sin^(2) theta cos theta , "...

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  13. One possible representation of points (x, y) on x^(2)y^(2) =x^(2) +y^(...

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  14. Assertion (A) : cos20^(@) - sin20^(@) gt 0 Reason (R) : If theta in ...

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  15. If alpha = pi/19 then (sin 3 alpha - sin 23 alpha)/(sin 4 alpha + sin ...

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  16. The equation cosec theta = (x^(2)+y^(2))/(2 xy) is (x != 0, y != 0)

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  17. In Delta ABC,right angled at C, then tanA + tanB =

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  18. If Sin theta = ((a-4)/(2)) then

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  19. If sin (alpha+beta ) =1 , sin (alpha-beta ) =1//2 " then " tan (alpha...

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  20. The expression (tan A)/(1- cot A) + ( cot A )/( 1- tan A) can be writt...

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