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If, in a Delta ABC, b^(2) + c^(2) = 3a^(...

If, in a `Delta ABC, b^(2) + c^(2) = 3a^(2)`,
then : `cot B + cot C - cot A` =

A

1

B

`(ab)/(4 Delta)`

C

0

D

`(ac)/(4 Delta)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (2)(MULTIPLE CHOICE QUESTIONS)
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  2. If in a triangle ABC angle B=60^@ then

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  3. If, in a Delta ABC, b^(2) + c^(2) = 3a^(2), then : cot B + cot C - c...

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  4. If the sides a triangle are in the ratio 2:sqrt6:(sqrt3 + 1), then the...

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  5. The sides of a triangle are in the ratio 2:sqrt6:sqrt3+1, then its ang...

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  6. The sides of a triangle are in the ratio 1:sqrt3:2 then the angles of ...

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  8. If x, y gt 0, then prove that the triangle whose sides are given by 3x...

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  9. In triangleABC, if a^(2)+c^(2)-b^(2)=ac, then angleB=

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  10. If the angles A, B, C of the triangle ABC be in A.P., then (a+c)/(sqrt...

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  11. In a !ABC , if 1/(b+c)+1/(c+a)=3/(a+b+c), then angleC=

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  12. If cos A= (sinB)/(2 sinC), " then " Delta ABC is

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  13. In a triangle ABC, (asinB+bsinA)/(sqrt(sinAsinB))=4, angleC=pi/3 " the...

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  14. In a triangle, the lengths of the two larger sides are 10 and 9, re...

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  15. With usual notations, if in a triangle ABC (b+c)/(11) = (c+a)/(12) = ...

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  16. In a triangle ABC, a^4 +b^4 +c^4 = 2(a^2 +c^2)b^2 then the angle B is

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  17. In a triangle ABC ,a^2 cos^2 A=b^2+c^2, then

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  18. If in a triangle sin^4 A+sin^4 B + sin^4 C = sin^2 B sin^2 C+2 sin^2 C...

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  19. If A=60^@, " then " b/(c+a)+c/(a+b) =

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  20. The sides of a triangle are three consecutive natural numbers and its ...

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