Question:

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.

Updated On: Mar 26, 2024
  • 20
  • 18
  • 12
  • 24
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The Correct Option is A

Solution and Explanation

The correct option is (A): 20.
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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.

Standard form of a linear equation

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.