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If AD, BE and CF are the medians of a AB...

If AD, BE and CF are the medians of a ABC ,then `(AD^(2)+BE^(2)+CF^(2)):(BC^(2)+CA^(2)+AB^(2))` is equal to

A

`4 : 3`

B

`3 : 2`

C

`3 : 4`

D

`2 : 3`

Text Solution

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The correct Answer is:
C
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MOTION-SOLUTION OF TRIANGLE-EXERCISE -1
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  3. In a DeltaABC, A=(2pi)/3, b-c=3sqrt3 cm and area(DeltaABC)=(9sqrt3)/2 ...

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  4. If the area of triangleABC is triangle =a^(2) -(b-c)^(2), then: tanA =

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  5. If the sides of a triangles are 3:7:8, then ratio R:r

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  6. In a right angled triangle R is equal to

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  7. In a triangle a = 13 , b = 14, c = 15, r =

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  8. In an equilateral triangle, the inradius and the circumradius are conn...

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  9. In a triangle ABC, right angled at B, then

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  10. If the area of triangles is 100 sq. cm, r1= 10 cm and r2= 50 cm, then...

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  11. In a triangleABC, the inradius and three exradii are r,r1,r2" and "r3 ...

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  13. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

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  14. If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2))...

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  15. In triangle ABC, line joining the circumcenter and orthocenter is para...

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  16. In a triangle ABC, angle A = 30^(2), BC = 2 + sqrt5, then find the dis...

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  17. If in triangle A B C ,sumsinA/2=6/5a n dsumI I1=9 (where I1,I2a n dI3 ...

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  18. If in a triangle A B C , right angle at B ,s-a=3a n ds-c=2, then a=2,c...

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  19. If H is the orthocentre of a triangle ABC, then the radii of the circl...

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  20. Let f, g and h be the lengths of the perpendiculars from the circumcen...

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