A, B, C, D, E, and F are sitting in a row. E and F are in the center. A and B are at the ends. C is sitting to the left of A. Who is to the right of B? A. D B. C C. A D. F

If A B C and D E F are similar triangles such that 2\ A B=D E and B C=8c m , then E F=

Parallelogram A B C D and rectangle A B E F have the same base A B and also have equal areas. Show that the perimeter of the parallelogram is greater than that of the rectangle. GIVEN : A ||^(gm)A B C D and a rectangle A B E F with the same base A B and equal areas. TO PROVE : Perimeter of ||^(gm)A B C D > Perimeter of rectangle ABEF i.e. A B+B C+C D+A D > A B+B E+E F+A F

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

If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ratio of areas of A B C and D E F .

D , E ,a n dF are the middle points of the sides of the triangle A B C , then (a) centroid of the triangle D E F is the same as that of A B C (b) orthocenter of the tirangle D E F is the circumcentre of A B C

There are 6 students A,B,C,D,E,F. In how many ways can they be seated in a line so that C and D do not sit together?

D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a Delta A B C . Determine the ratio of the areas of D E F and A B C .

D , E , F are the foot of the perpendicular from vertices A , B , C to sides B C ,\ C A ,\ A B respectively, and H is the orthocentre of acute angled triangle A B C ; where a , b , c are the sides of triangle A B C , then H is the incentre of triangle D E F A , B ,\ C are excentres of triangle D E F Perimeter of D E F is a cos A+b cos B+c\ cos C Circumradius of triangle D E F is R/2, where R is circumradius of A B C

If a,b,c,d,e, f are A. M's between 2 and 12 , then find a + b + c +d + e +f.

A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that A B C is an equilateral triangle.