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A B C D is a parallelogram and E\ a n d\ F are the centroids of triangles A B D\ a n d\ B C D respectively, then E F= (a) A E (b) B E (c) C E (d) D E

A B C D is a parallelogram and E\ a n d\ F are the centroids of triangles A B D\ a n d\ B C D respectively, then E F= (a) A E (b) B E (c) C E (d) D E

D is a point on the circumcircle of A B C in which A B=A C such that B\ a n d\ D are on the opposite side of line A C . If C D is produced to a point E such that C E=B D , prove that A D=A E .

If D ,E and F are three points on the sides B C ,CA and A B , respectively, of a triangle A B C show that the (B D)/(C D)=(C E)/(A E)=(A F)/(B F)=-1

In a A B C , D and E are points on the sides A B and A C respectively such that D E// B C If A D=4 , A E=8 , D B=x-4 , and E C=3x-19 , find x .

In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdot Show that a r(\ A B D)=\ a r\ (\ A D E)=a r\ (\ A E C)dot

In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdot Show that a r(\ A B D)=\ a r\ (\ A D E)=a r\ (\ A E C)dot

In a Delta A B C , point D is on side A B and point E is on side A C , such that B C E D is a trapezium. If D E : B C=3:5 , then Area ( A D E) : A r e a( B C E D)=

In a A B C ,\ \ B D and C E are the altitudes. Prove that A D B and A E C are similar. Is C D B ~ B E C ?