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In DeltaABC , the value of (cotA/2cotB/...

In `DeltaABC` , the value of `(cotA/2cotB/2-1)/(cotA/2cotB/2)` is

A

`(a)/(a+b+c)`

B

`(2c)/(a+b+c)`

C

`(2a)/(a+b+c)`

D

`(2b)/(a+b+c)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(cot.(A)/(2) cot.(B)/(2)-1)/(cot.(A)/(2)cot.(B)/(2))`
` = - 1 tan.(A)/(2) tan (B)/(2)`
`=1 - sqrt(((s-b)(s-c))/(s(s-a))) sqrt(((s-a)(s-c))/(s(s-b)))`
`=1- (S-C)/(S) =(C)/(S)`
` = (2C)/(a+b+c)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 11 -PAPER 2 (MATHEMATICS )
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  4. The equation of circle which touches X and Y-axes at the points (1, 0)...

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  5. The length of the common chord of the two circles x^2+y^2-4y=0 and x^2...

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  6. The distance between the directices of the hyperboltic x = 8 sec t...

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  7. The eccentricity of the ellipse 25x^(2) + 16y^(2) - 150 x - 175 = 0...

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  8. If O is the original and A is the point (a,b,c) then the equatio...

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  9. Find the equation of a plane which passes through the point (3, 2, ...

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  10. The value of cos^(-1) (cos 12) - sin^(-1)(sin 14) is

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  11. If one side of a triangle is double the other, and the angles on op...

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  12. The most general solution of theta satisfying the equations sintheta=s...

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  13. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-p...

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  14. Let f(x) be given that f(x)={{:(,x,"if x is rational"),(,1-x,"if x is ...

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  15. If alpha = sin^(-1)sqrt(3)/(2)+sin^(-1)1/3 , beta =cos ^(-1)sqrt(3)/(2...

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  16. In DeltaABC , the value of (cotA/2cotB/2-1)/(cotA/2cotB/2) is

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  17. Write the value of the derivative of f(x)=|x-1|+|x-3| at x=2 .

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  18. If tangent tto the curve x=at^(2),y=2at is perpendicular to X-axis, th...

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  19. The foot of the perpendicular form (2,4,-1) to the line x +5 =(1)/...

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  20. The solution of the differential equation (1+y^(2)) tan^(-1) x dx + y...

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