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

The value of 'a' for which the equation `sinx (sin x+cos x)=a` has a real solution are

A

`1-sqrt(2) le a le 1+sqrt(2)`

B

`2-sqrt(3) le a le 2+sqrt(3)`

C

`0 le a le 2+sqrt(3)`

D

`(1-sqrt(2))/(2) le a le (1+sqrt(2))/(2)`

Text Solution

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The correct Answer is:
D
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VK JAISWAL ENGLISH-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. The value of 'a' for which the equation sinx (sin x+cos x)=a has a re...

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  2. Let P=(sin80^(@)sin65^(@) sin35^(@))/(sin20^(@)+sin50^(@)+sin110^(@))...

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  3. The value of expression (1-cot23^(@))(1-cot22^(@)) is equal to :

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  4. If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 th...

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  5. A(1)A(2)A(3)………A(18) is a regular 18 sided polygon. B is an external p...

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  6. If 10sin^(4)alpha+15cos^(4)alpha=6 and the value of 9"cosec"^(4)alpha...

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  7. The value of (1+"tan"(3pi)/(8)"tan"(pi)/(8))+(1+"tan"(5pi)/(8)"tan"(3p...

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  8. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

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  9. Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(...

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  10. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

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  11. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

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  12. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

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  13. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

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  14. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

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  15. If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy...

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  16. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

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  17. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

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  18. If x=alpha satisfy the equation 3^(sin2x+2cos^(2)x)+3^(1-sin2x+2sin^(...

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  19. If y=(sin theta+"cosec" theta)^(2) +(cos theta+sec theta)^(2), then m...

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  20. If tan20^(@)+tan40^(@)+tan80^(@)-tan60^(@)=lambda sin40^(@), then lamb...

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  21. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

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