The line passes through the centre of circle \(x^2 + y^2 – 16x – 4y = 0\), it interacts with the positive coordinate axis at A & B. Then find the minimum value of OA + OB, where O is origin.
- 20
- 18
- 12
- 24
The Correct Option is A
Solution and Explanation
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Concepts Used:
General Equation of a Line
Equation of Straight Line Formula:
A straight line is a figure created when two points A (x1, y1) and B (x2, y2) are connected with a minimum distance between them, and both the ends are extended to immensity (infinity). With variables x and y, the standard form of a linear equation is: ax + by = c, where a, b, and c are constants and x, and y are variables.
Point Slope Form:
The equation of a straight line whose slope is m and passes through a point (x1, y1) is formed or created using the point-slope form. The equation of the point-slope form is:
y - y1 = m (x - x1),
where (x, y) = an arbitrary point on the line.