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If a, b and c are in G.P. then prove tha...

If a, b and c are in G.P. then prove that 1 a 2 - b 2 + 1 b 2 = 1 b 2 - c 2 . 1/(a^2-b^2)+1/(b^2)=1/(b^2-c^2)dot

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of solutions of sum(r=1)^5cosrx=5 in the interval [0,2pi] i...

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  2. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

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  3. If a, b and c are in G.P. then prove that <math xmlns="http://www.w3...

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  4. Which of the following statements are always correct (where Q denotes ...

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  5. The greatest value of sin^4theta+cos^4thetai s

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  6. In A B C , the bisector of the angle A meets the side BC at D andthe ...

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  7. Let theta in [0,4pi] satisfy the equation (sintheta+2)(sintheta+3)(sin...

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  8. Prove that: (sin(B-C))/(cosBcosC)+(sin(C-A))/(cosCcosA)+(sin(A-B))/(co...

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  9. Given a right triangle with /A =90^@. Let M be the mid-point of BC. If...

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  10. If f(x)=cos^2theta+sec^2theta, then

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  11. If sinalphasinbeta-cosalphacosbeta+1=0, then prove that 1+cotalphatanb...

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  12. The number of values of x in the interval [0,5pi] satisfying the equat...

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  13. The maximum value of the expression |sqrt(sin^2x+2a^2)-sqrt(2a^2-1-...

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  14. In A B C , the three bisectors of the angle A, B and C are extended t...

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  15. Let A , B , C be the three angles such that A+B+C=pi . If tanAtanB=2, ...

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  16. The set of values of lambda in R such that sin^2theta+costheta=lambda...

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  17. If in Delta ABC, the distance of the vertices from the orthocenter are...

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  18. Let 2sin^2x+3sinx-2>0a n dx^2-x-2<0(x is measured in radians). Then x ...

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  19. Show that cos^2theta+cos^2(alpha+theta)-2cosalphacostheta"cos"(alpha+t...

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  20. Prove that the distance between the circumcenter and the incenter of ...

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