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

If AD, BE and CF are the medians of a triangle 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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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
  1. In Delta ABC , the median AD divides angle BAC such that angle BAD : ...

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  2. In a triangle ABC, the median to the side BC is of length 1/sqrt(11 - ...

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

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  4. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

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  5. In DeltaABC, AD is the altitude from A, if b gt c, C=23^(0), AD=(abc)/...

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  6. Altitude AD of an equilateral triangle ABC is a diameter of circle. If...

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  7. A triangle is inscribed in a circle. The vertices of the triangle divi...

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  8. The base of a triangle is a and ratio of remaining two sides is r ( r ...

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  9. The area of the right angled triangle in terms of its circum radius an...

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  10. In a triangle ABC, D and E are the mid-points of BC, CA respectively. ...

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  11. If the bisector of the angle lfloor C of a triangle ABC cuts AB in D ...

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  12. Let ABC be an isosceles triangle with base BC. If 'r' is the radius o...

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  13. If a right angled Delta ABC of maximum area is inscribed within a cir...

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  14. P is a point inside a Delta ABC of area K (K gt 0). The lengths of pe...

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  15. If the bisector angle A of the triangle ABC makes an angle theta with ...

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  16. Internal bisector of an angle angle A of triangle ABC meets side BC a...

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  17. In Delta ABC , internal angle bisector of angle A meets side BC in D. ...

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  18. Match the following

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  19. Match the following

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  20. Consider a triangle ABC, where x, y, z are the length of perpendicular...

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