If the mean of `a ,\ b ,\ c` is `M` and `a b+b c+c a=0` , then the mean of `a^2,\ b^2,\ c^2` is `M^2` (b) `3M^2` (c) `6M^2` (d) `9M^2`

A B C D is a rectangle with O as any point in its interior. If a r\ ( A O D)=3\ c m^2a n d\ a r\ ( B O C)=6\ c m^2, then area of rectangle A B C D is: 9c m^2 (b) 12\ c m^2 (c) 15 c m^2 (d) 18\ c m^2

Let A B C D be a parallelogram and A B E F be a rectangle with E F lying along the line C D . If A B=7c m and B E=6. 5 c m , then the area of the parallelogram is 11. 375 c m^2 (b) 22. 75 c m^2 (c) 45 c m^2 (d) 45. 5 c m^2

A B C D is a rectangle with O as any point in its interior. If a r ( A O D)=3 c m^2a n d a r ( B O C)=6 c m^2, then area of rectangle A B C D is: 9c m^2 (b) 12 c m^2 (c) 15 c m^2 (d) 18 c m^2

Medians of A B C intersect at G . If a r\ ( A B C)=27\ c m^2, then a r\ ( A B G C)= 6\ c m^2 (b) 9\ c m^2 (c) 12\ c m^2 (d) 18 c m^2

Medians of A B C intersect at G . If a r\ ( A B C)=27\ c m^2, then a r\ ( B G C)= (i) 6\ c m^2 (b) 9\ c m^2 (c) 12\ c m^2 (d) 18 c m^2

A B C D E F . If B C=3c m , E F=4c m and a r( A B C)=54 c m^2 , then a r( D E F)= 108 c m^2 (b) 96 c m^2 (c) 48 c m^2 (d) 100 c m^2

Write the 3m^2=2m^2-9 equation in the form ax^2+bx+c=0 , then write the values of a,b,c .

In a A B C if D\ a n d\ E are mid-points of B C\ a n d\ A D respectively such that a r\ ( A E C)=4\ c m^2 , then a r\ ( B E C)= 4\ c m^2 (b) 6\ c m^2 (c) 8\ c m^2 (d) 12 c m^2

X Y is drawn parallel to the base B C of Delta A B C cutting A B at X and A C at Y . If A B=4\ B X and Y C=2c m , then A Y= (a) 2c m (b) 4c m (c) 6c m (d) 8c m