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For 0lexle2pi, Match the equations in Li...

For `0lexle2pi`, Match the equations in List I to no. of solutions in List II
`{:(ul"List I",ul"List II"),(ul"(Trigonometric equation)",ul"(no. of solution)"),("I) "Tan^(2)x+Cot^(2)x=2,"a) 2"),("II) "Sin^(2)x-Cosx=1//4,"b) 0"),("III) "4Sin^(2)x+6Cos^(2)x=10,"c) 1"),("IV) "Sinx = 1,"d) 4"),(,):}`

A

d,a,b,c

B

d,a,c,b

C

d,b,a,c

D

d,c,a,b

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
  1. The set of values of 'x' for which (tan3x-tan2x)/(1+tan3xtan2x)=1 is

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  2. Match the trigonometric equations from List I to solutions in List II ...

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  3. For 0lexle2pi, Match the equations in List I to no. of solutions in Li...

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  4. Observe the following statements Assertion (A) : The general solutio...

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  5. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

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  6. When a is irrational, the number of solutions satisfying the equation ...

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  7. Assertion (A) : if 2sin^(2)((pi)/(2)cos^(2)x)=1-cos(pisin2x), xne(...

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  8. Tan ((pi)/(4)+theta).Tan((3pi)/(4)+theta)=

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  9. If sqrt(3)costheta-sintheta is positive and thetain(-pi,pi) then the v...

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  10. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

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  11. The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(...

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  12. If 0lexle2pi,0leyle2piandsinx+siny=2 then x+y =

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  13. If tan alpha = m//(m+1), tan beta =1//(2m + 1), then alpha + beta =

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  14. If log(2)sinx-log(2)cosx-log(2)(1-tan^(2)x)=-1 then x =

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  15. If theta(1) and theta(2) are two solutions of the equation a cos2theta...

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  16. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

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  17. The number of solutions of sin(e^(x))=x+(1)/(x) is

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  18. The maximum integral values of a for which the equation cos2x+asinx=2a...

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  19. The number of solutions of secxcos5x+1=0 in the interval [0,2pi] is

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  20. The values of 'theta' satisfying sin5theta=sin3theta-sintheta and 0l...

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