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If A, B,C are angles of a acute angled t...

If A, B,C are angles of a acute angled triangle then the least value of tan A tan B tan C is

A

1

B

3

C

`sqrt3`

D

`3sqrt3`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A
  1. In Delta ABC sum(sin^2A+sinA+1)/(sinA) is always greater than

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  2. In DeltaABCprod((sin^2A+sinA+1)/(sinA)) is always greater than

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  3. If A, B,C are angles of a acute angled triangle then the least value o...

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  4. In a right angled Delta ABC, sin^2 A+ sin^2 B+sin^2 C=

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  5. IF twice the square of the radius of a circle is equal to half the sum...

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  6. In a triangle ABC,if a is the arithemetic mean and b,c (b ne c)are the...

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  7. Points D,E are taken on the side BC of a triangle ABC, such that BD=DE...

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  8. In Delta ABC, if B=60^@,C=45^@ and D divides BC internally in the rati...

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  9. If the area of an isosceles triangle is sqrt2+1are vertical angle is 4...

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  10. IF A,B,C are angles of a triangle, then the minimum value of tan^2""A/...

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  11. In Delta ABC, sum a (sin B-sin C)=

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  12. In Delta ABC, sum a^2 (cos^2 B-cos^2 C)=

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  13. In Delta ABC, sum a .sin (B-C)=

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  14. In a triangle ABC, C=90^@. Then (a^2-b^2)/(a^2+b^2)=

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  15. In any Delta ABC,((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=

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  16. In Delta ABC, sum a^3 sin (B-C)=

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  17. In Delta ABC, sum a^3 sin (B-C)=

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  18. In a triangle ABC, (a^2-b^2-c^2) tan A+ (a^2-b^2+c^2) tan B is equal t...

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  19. In Delta ABC, (sinA(a-b cos C))/(sin C (c-b cos A))=

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  20. In Delta ABC, (b-a cos C)/(c-a cos B)=

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