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If alpha, beta , gamma are the lengths...

If ` alpha, beta , gamma ` are the lengths of the altitudes of ` Delta ABC , " then " alpha ^(-2) +beta ^(-2) +gamma^(-2) `=

A

` Delta `

B

` cot A + cot B +cot C `

C

` ( cot A + cot B + cot C)/( Delta `

D

`( Delta )/( cot A+ cot B +cot C) `

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE EXERCISE
  1. In Delta , sum a^(3) sin (B-C) =

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  2. In Delta ABC , R^(2) ( sin 2A +sin 2B+ sin 2C) =

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  3. If alpha, beta , gamma are the lengths of the altitudes of Delta A...

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  4. If p1,p2,P3 are the lengths of the altitudes from the vertices of...

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  5. If p1, p2, p3 are the lengths of the altitudes from the vertices...

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  6. If cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 then show that Delta A...

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  7. In Delta ABC , if tan A + tan B + tan C =3 sqrt3 then the triangle ...

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  8. In Delta ABC , if sin ^(2)A +sin ^(2) B +sin ^(2) C =(3)/(4) , th...

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  9. In Delta ABC , if cos ^(2)A +cos ^(2) B +cos ^(2) C =(3)/(4) , then...

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  10. In a triangles ABC if sin A sin B = ( ab)/( c^(2)) , then the trian...

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  11. In Delta ABC if 2 cos B = ( a)/(c ) , then the triangle is

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  12. In Delta ABC, if cos A cos B+ sin A sin B sin C=1, then a:b:c=

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  13. In Delta ABC , pi((sin ^(2) A +sin A+1)/( sin A)) is always greater ...

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  14. sum a^(3) cos (B-C) =

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  15. In Delta ABC , if AB = 12, BC =13,CA = 5 then the distance of A fro...

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  16. If D is the mid-point of the side BC of triangle ABC and AD is perpend...

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  17. If the hypotenuse of a right angled triangle is four times the length ...

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  18. If the hypotenuse of a right angled triangle is 2sqrt2 times the le...

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  19. If 2sqrt3 is the inradius of an equilateral triangle then the leng...

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  20. The inventre of Delta ABC is the of its excentral triangle

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