Question

Find a point E on CD such as the ratio of CE to CD is 1/4

A. -7
B. -5
C. -3
D. -1

Answer 1

The answer is B. -5 because from c to d the distance is 16. One fourth of 16 is 4 units so you just need to count four space from c to get -5

Answer 2

Answer: The correct option is

(B) -5.

Step-by-step explanation: We are given to find the co-ordinates of a point E on line CD such that the ratio of CE to CD is 1 : 4.

Let x denotes the co-ordinates of the point E.

Then, according to the given information, we have

`CE:CD=1:4\\\\\Rightarrow (CE)/(CD)=(1)/(4)\\\\\\\Rightarrow (x-(-9))/(7-(-9))=(1)/(4)\\\\\\\Rightarrow (x+9)/(16)=(1)/(4)\\\\\\\Rightarrow x+9=(16)/(4)\\\\\Rightarrow x+9=4\\\\\Rightarrow x=4-9\\\\\Rightarrow x=-5.`

Thus, the required co-ordinate of the point E is -5.

Option (B) is CORRECT.