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In DeltaABC , D, E and F are the mid poi...

In `DeltaABC` , D, E and F are the mid points of the sides, then `DeltaDEF`=

A

D, E and F are the middle points of the sides of the triangle ABC, then

B

orthocenter of the triangle DEF is the circumcentre of ABC

C

orthocenter of the triangle DEF is the incenter of ABC

D

centroid of the triangle DEF is not the same as that of ABC

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The correct Answer is:
A, D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (More than one correct answer Type Questions)
  1. In a triangle ABC, the altitude from A is not less than BC and the alt...

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  2. If in DeltABC sides a,b,c are in A.P then

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  3. If in DeltaABC, AC is double AB, then value of "cot"(A)/(2)"cot"(B-C)/...

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  4. If one side of a triangle is double the other, and the angles on oppos...

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  5. With usual notations, in triangle ABC, a cos (B-C)+b cos (C-A)+c cos(...

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  6. Let ABC be triangle with angle=45^(@). Let P the point on sude BC with...

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  7. In any triangleABC,(a^(2)+b^(2)+c^(2))/(R^(2)) has the maximum value o...

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  8. In a triangle ABC, R(b+c)= a sqrt(bc) where R is the circum radius of ...

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  9. In a DeltaABC,(a+b+c)(b+c-a)=lambdabc, then

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  10. In DeltaABC, A=(2pi)/(3),b-c=3 sqrt(3) cm and area of DeltaABC=(9 sqrt...

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  11. In a DeltaABC, if AB,x=Bc= x+1, anglec=(pi)/(3), then the least intege...

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  12. If area of DeltaABC(Delta) and angle C are given and if the side c opp...

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  13. If Delta represents the area of acute angled triangle ABC, then sqrt(...

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  14. Lengths of the tangents from A, B, and C to the incircle are in A.P., ...

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  15. A circle of radius 4 cm is inscribed in AABC, which touches the side B...

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  16. If H is the orthocentre of triangle ABC, R = circumradius and P=AH+BH+...

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  17. If inside a big circle exactly n(n ge3) small circles, each of radius ...

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  18. Let ABC be a triangle with incentre at I. Also, let P and Q be the fee...

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  19. In DeltaABC , D, E and F are the mid points of the sides, then DeltaDE...

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