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The equation tan^4x-2sec^2x+a=0 will hav...

The equation `tan^4x-2sec^2x+a=0` will have at least one solution if `1

A

`|a|le4`

B

`|a|lesqrt(2)`

C

`|a|lesqrt(3)`

D

`|a|le2`

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The correct Answer is:
C
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Evaluation Test
  1. Solve the equation (sinx+cosx)^(1+sin2x)=2, when 0lt=xlt=pi

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  2. Find the total number of solution of sin^(4)x+cos^(4)x=sinxcosx" in "[...

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  3. The equation tan^4x-2sec^2x+a=0 will have at least one solution if 1<a...

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  4. If tanalpha=(1)/(2)and3cosx+4sinx=5, then x is equal to

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  5. If tan theta + tan ( theta + (pi)/(3))+ tan ( theta + (2pi)/(3))=3 , ...

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  6. In a Delta ABC, if tan.(A)/(2)=(5)/(6), tan.(B)/(2)=(20)/(37), then wh...

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  7. In a A B C ,A=(2pi)/3,b-c=3sqrt(3)c m and area ( A B C)=(9sqrt(3))/2c...

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  8. If the angles of a triangle are 30^0a n d45^0 and the included side is...

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  9. In triangleABC, If (b+c)/(11)=(c+a)/(12)=(a+b)/(13), then cosC=

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  10. The sides of a triangle are three consecutive natural numbers and its ...

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  11. If the area of the circle is A1 and the area of the regular pentagon i...

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  12. In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circ...

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  13. Given b = 2, c = sqrt3, angle A = 30^(@), then inradius of DeltaABC is

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  14. If, in Delta ABC, a^(4) + b^(4) + c^(4) = 2a^(2)(b^(2) + c^(2)) then :...

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  15. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

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  16. If tan.(A)/(2)andtan.(B)/(2) are the roots of the quadratic equation 6...

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  17. If a triangle is right angled at B, then the diameter of the incircle ...

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  18. In a triangle angleA=55^(@),angleB=15^(@),angleC=110^(@). Then c^(2)-a...

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  19. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

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  20. The value of cot^(pi)/(4)-2 cot^(-13) is

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