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Consider a triangle ABC, where x,y,z are...

Consider a triangle ABC, where x,y,z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a,b, c respectively. Let the letters `R,r S,Delta` denote the circumradius, inradius semi-perimeter and area of the triangle respectively.
If `cot A+cot B+ cot C= k ((1)/(x^(2))+ (1)/(y^(2))+(1)/(z^(2))),` then the value of k is

A

`R^(2)`

B

rR

C

`Delta`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Passage Based Questions)
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  11. Find dy/dx , if x = cos(theta) and y = sin(2theta)

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  15. Consider a triangle ABC, where x,y,z are the length of perpendicular d...

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