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

Consider a triangle ABC, where c,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 ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Passage Based Questions)
  1. R is circumradii of DeltaABC, H is orthocentre, R(1), R(2), R(3) are c...

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  2. Let ABC to be an acute triangle with BC=a,CA =b and AB=c, where a ne ...

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  3. Let ABC to be an acute triangle with BC=a,CA =b and AB=c, where a ne ...

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  4. Let ABC to be an acute triangle with BC=a,CA =b and AB=c, where a ne ...

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  5. In an acute angled triangle ABC, let AD, BE and CF be the perpendicula...

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  6. In an acute angle Delta ABC, let AD, BE and CF be the perpendicular fr...

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  7. In an acute angle Delta ABC, let AD, BE and CF be the perpendicular fr...

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  8. Let a,b, c are the sides opposite to angles A, B , C respectively in a...

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  9. Let a,b, c are the sides opposite to angles A, B , C respectively in a...

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  10. Let a,b, c are the sides opposite to angles A, B , C respectively in a...

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  11. When any two sides and one of the opposite acute angle are given, unde...

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  12. When any two sides and one of the opposite acute angle are given, unde...

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  13. When any two sides and one of the opposite acute angle are given, unde...

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  14. Consider a triangle ABC, where c,y,z are the length of perpendicular d...

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

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  16. Consider a triangle ABC, where c,y,z are the length of perpendicular d...

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  17. AL, BM and CN are perpendicular from angular points of a triangle ABC ...

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  18. AL, BM and CN are perpendicular from angular points of a triangle ABC ...

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