In the diagram, the areas of aadc and adcb are in a ratio of 3: 4. what are the coordinates of point ?
a (3,-7)
b. (5,-5)
c. (7,-3)
d. (4,-6)

The coordinate of point C is (4 , - 6)  .

Step-by-step explanation:

Given as ;

The Δ ADC and The Δ DCB are divided in the ratio = m : n = 3 : 4

The coordinate of point A = = 1 , - 9

The coordinate of point B = = 8 , -2

Let The coordinate of point C = x , y

Now, According to question

x =

Or, x =  

Or, x =

∴  x =  

i.e x = 4

Similarly

y =

Or, y =  

Or, y =

∴  y =  

i.e y = - 6

So, The coordinate of point C = x , y = 4 , - 6

Hence,The coordinate of point C is (4 , - 6)  . Answer