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In Delta ABC, if a = 10 and b cot B + c ...

In `Delta ABC`, if a = 10 and `b cot B + c cot C = 2(r + R)` then the maximum area of `DeltaABC` will be

A

50

B

`sqrt50`

C

25

D

5

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. In a triangle ABC, if cot A =(x^(3)+x^(2) +x)^(1/2), cot B= (x+x^(-1)+...

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  2. In a Delta ABC, a,b,A are given and c(1), c(2) are two values of the ...

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  3. In Delta ABC, if a = 10 and b cot B + c cot C = 2(r + R) then the maxi...

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  4. Find the second order derivative of the function x^3 + 4x^2 +2

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  5. Let a,b,c be the sides of a triangle. Now two of them are equal to lam...

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  6. In triangle A B C ,ifPdotQ ,R divides sidesB C ,A C , and A B , respec...

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  7. Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a ...

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  8. Differentiate the following function w.r.t x sin^3x+cos^6x

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  9. If tangents PA and PB from a point to a circle with centre O are incli...

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  10. Differentiate the following w.r.t x (3x^2-9x+5)^9

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  11. In a triangle a = sqrt5,b = 2, /A=pi/6 and the two possible values of...

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  12. If R(1) is the circumradius of the pedal triangle of a given triangle ...

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  13. If in a triangle (1-(r(1))/(r (2)))(1-(r(1))/(r (3)))=2. then show tha...

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  14. If the median AD of a triangle ABC makes an angle theta with side, AB,...

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  15. Differentiate the following w.r.t x (sinx-cosx)^(sinx-cosx)

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  16. In a Delta ABC, (a+b+c) (b+c-a)=lamdabc, if

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  17. In the DeltaABC, if (a ^(2) +b^(2))sin (A-B) =(a^(2) -b^(2)) sin (A+B...

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  18. Differentiate the following w.r.t x (5x)^(3cos2x)

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  19. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

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  20. The ratio of the area of a regular polygon of n sides inscribed in a c...

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