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D, E, F are the mid points of BC, CA and...

`D, E, F` are the mid points of `BC, CA and AB` of `Delta ABC`. If `AD and BE` intersect in G, then `AG + BG + CG` is equal to

A

`AD = BE = CF`

B

`(2)/(3) (AD + BE + CF)`

C

`(3)/(2) (AD + BE + CF)`

D

`(1)/(3) (AD + BE + CF)`

Text Solution

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The correct Answer is:
B
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S CHAND IIT JEE FOUNDATION-TRIANGLES-Question Bank- 18
  1. The diagram shows 2 isosceles triangles. What is the sum of a and b.

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  2. The given figure shows two overlapping triangles. The value of a - b i...

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  3. D, E, F are the mid points of BC, CA and AB of Delta ABC. If AD and B...

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  4. Consider the following statements relating to the congruency of two ri...

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  5. AB bot BC , BD bot AC and CE bisects angle C. angle A = 30^(@). Then w...

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  6. In Delta ABC, angle B is a right angle, AC = 6 cm, D is the mid point ...

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  7. If the sides of a right triangle are x , x + 1 and x -1, then the hypo...

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  8. The degree measure of each of the three angles of a triangle is an int...

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  9. In a Delta ABC right angled at B, which statement is true?

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  10. If PL , QM and RN are the altitudes of Delta PQR whose orthocentre is ...

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  11. In Delta ABC medians BE and CF intersect at G. If the straight line AG...

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  12. If the angles of a triangle are in the ratio 1:2:3, find the ratio bet...

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  13. If the angles of a triangle are in the ratio 5 : 3 : 2, then the trian...

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  14. Delta ACB ~= Delta DFE. Find angle F

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  15. P is the incentre of Delta ABC. If angle CAB = 66^(@), and angle CPY =...

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  16. A man goes to a garden and runs in the following manner: From the star...

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  17. In the given figure, ABC is a triangle in which BC is produced to D. I...

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  18. If ABCD is a square, X is the mid point of AB and Y is the mid point o...

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  19. In a Delta PQR, the sides PQ and PR and are produced to S and T respec...

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  20. In a Delta ABC, angle C = 110^(@). Which one of the following statemen...

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