The coordinates of A and B are (-3.8, 5.2) and (7, -2) which are the intersection points of the provided equation.
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
The line 2x + 3y = 8 meets the curve 2x² + 3y² = 110 at the points of A and B.
2x + 3y = 8 ...(1)
2x² + 3y² = 110 ...(2)
From equation (1),
x = (8 - 3y)/2
Substitute the value of x in the equation (2)
2 [(8 - 3y) / 2]² + 3y² = 110
15y² - 48y - 156 = 0
After solving the above quadratic equation:
y = 5.2, x = -3.8
y = -2, x = 7
Thus, the coordinates of A and B are (-3.8, 5.2) and (7, -2) which are the intersection points of the provided equation.
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