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In any triangle A B C ,(a^2+b^2+c^2)/(R^...

In any triangle `A B C ,(a^2+b^2+c^2)/(R^2)` has the maximum value of 3 (b) 6 (c) 9 (d) none of these

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To solve the problem, we need to find the maximum value of the expression \((a^2 + b^2 + c^2) / R^2\) in any triangle \(ABC\). ### Step-by-Step Solution: 1. **Understanding the Variables**: - Let \(a\), \(b\), and \(c\) be the lengths of the sides of triangle \(ABC\). - Let \(R\) be the circumradius of triangle \(ABC\). ...
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CENGAGE-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. In A B C ,A(2pi)/3,b-c=3sqrt(3)c m and area of A B C=(9sqrt(3))/2c m...

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  2. The general value of theta satisfying the equation tan^2theta+sec2thet...

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  3. In any triangle A B C ,(a^2+b^2+c^2)/(R^2) has the maximum value of 3 ...

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  4. Solve sqrt(5-2 sin x)=6 sin x-1

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  5. In triangle A B C ,R(b+c)=asqrt(b c),w h e r eR is the circumradius o...

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  6. Solve sin^3thetacostheta-cos^3thetasintheta=1/4dot

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  7. In A B C ,P is an interior point such that /P A B=10^0/P B A=20^0,/P ...

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  8. Solve 4costheta-3sectheta=tantheta

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  9. In A B C , if A B=c is fixed, and cosA+cosB+2cos C=2 then the locus o...

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  10. Solve the equation 2cos^2theta+3sintheta=0

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  11. In A B C , if b^2+c^2=2a^2, then value of (cotA)/(cotB+cotC) is 1/2 ...

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  12. Find the number of solution of [cosx]+|sinx|=1, x inpilt=xlt=3pi (whe...

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  13. If sinthetaa n d-costheta are the roots of the equation a x^2-b x-c=0 ...

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  14. If the equation asinx+cos2x=2a-7 possesses a solution, then find the ...

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  15. In A B C ,(a+b+c)(b+c-a)=k b c if k<0 (b) k >0 =<k<4 (d) k >4

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  16. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

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  17. If in A B C ,A=pi/7,B=(2pi)/7,C=(4pi)/7 then a^2+b^2+c^2 must be R^2 ...

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  18. If x in (0,2pi)a n dy in (0,2pi) , then find the number of distinct or...

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  19. In a triangle A B CifB C=1a n dA C=2, then what is the maximum possibl...

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  20. Find the number of roots of the equation 16sec^3theta-12tan^2theta-4se...

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