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If 2tan^2x-5secx=1 for exactly seven dis...

If `2tan^2x-5secx=1` for exactly seven distinct value of `x in [0,(npi)/2],n in N` then find the greatest value of `ndot`

A

`15`

B

`13`

C

`14`

D

`16`

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RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
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  2. In (0,6pi), the number of solutions of the equation tantheta+tan2theta...

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  3. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

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  4. The number of integral values of a for which the equation cos2x+a sin ...

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  5. If the arithmetic mean of the roots of the equation 4cos^(3)x-4cos^(2)...

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  6. Number of solution of sinx cosx-3cosx+4sinx-13 gt 0 in [0,2pi] is equa...

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  7. The solution of sqrt(5-2sinx) ge 6 sinx-1 is

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  8. If sin^ 4 x/2+cos^4 x/3 =1/5 then

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  9. for 0ltthetaltpi/2 the solution(s) of sum(m=1)^6c o s e c(theta+((m-...

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  10. The maximum value of the expression (1)/(sin^(2)theta+3sinthetacosthet...

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  11. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

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  12. The number of values of theta in the interval (-pi/2,pi/2) such that t...

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  13. Let (x0, y0) be the solution of the following equations In (2x)^(In2)=...

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  14. Let P={theta:sintheta-costheta=sqrt2cos theta}and Q={theta:sintheta+c...

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  15. Let theta ,phi in [0,2pi] be such that 2 cos theta (1-sin phi)=sin^2 t...

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  16. The value of 6+log(3/2)(1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)sq...

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  17. If 3^(x)=4^(x-1), then x=

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

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  19. The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 ...

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  20. Let -1/6 < theta < -pi/12 Suppose alpha1 and beta1, are the root...

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