The mean of the numbers is c. 67
Given :-
- a² - 2a - b² = 0
- 2b + 2ab = 0
To find :-
Solution :-
<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>
- 2b + 2ab = 0
- 2b ( 1 + a ) = 0
- 2b = 0 or (1+a) = 0
- b = 0 , a = -1
<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>
<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>
- a² - 2a - 0² = 0
- a² - a = 0
- a( a -1) =0
- a = 0 , 1
<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>
- (-1)² - 2*(-1) - b² = 0
- 1 + 2 - b² = 0
- b² = 3
- b = ±√3
<u>Answer </u><u>:</u><u>-</u><u> </u>
- a = 0,1 ; b = 0
- a = -1 , b = ±√3
Answer:
D
Step-by-step explanation:
The formula we need to solve this is:

Where
is the distance from one focus to the vertex
is the second distance from another focus to same vertex
<u>Note:</u> Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci
is half the length of the major axis (which is 9 here since total major axis is given as 18)
<em>Now we can plug into the equation and solve:</em>
<em>
</em>
<em />
<em>D is the correct answer.</em>
The answer is C and here are the steps