QUESTION 1
The point C(3.6, -0.4) divides AB in the ratio 3 : 2.
The coordinates of A are (-6, 5).
Let the coordinates of B be
We use the formula:
to determine the x-coordinate of B.
We substitute the known values to obtain:
This implies that:
We also use the formula:
to find the y-coordinate.
The coordinates of B are (10,-4)
QUESTION 2.
If point D divides CD in the ratio 4 : 5.
Then the coordinates of D are:
The coordinates of D are
Answer:
B. The fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are x=3±i√11/2 .
Step-by-step explanation:
We know that,
Fundamental theorem of algebra states that ' a polynomial of degree n will have n number of roots'.
Since, the polynomial has degree 2, so it will have 2 roots.
We know that the polynomial has roots given by
.
So, the roots of polynomial will be,
i.e.
i.e.
i.e.
i.e.
Hence, the roots are given by
So, option B is correct.