Suppose that the circle with center (0, 0) and radius length r contains the point (a, b). Find the slope of the tangent line to the circle at the point (a, b).

Q: Find the distance between the points P = ( - 1, 3) and Q = (4, -2). Find the midpoint of the line…

A: (-1,3),(4,-2)

Q: Find the distance from the point (9, 7, 4) to the origin.

A:

Q: A circle with center at (3, -2) is tangent to the line 3x + 4y -26 = 0. Determine the equation of…

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Q: Find the distance between the points

A: Given,          The two points are A2,8 and B-8,2.

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: Each of two tangents to the circle x² + y² = 25 has a slope 2. Find the points of contact.

A:

Q: Consider a circle with center (2, 4) and a radius of 5. Find the equation of the tangent line to the…

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Q: What is the standard equation of the circle center at (3, 4) and tangent to the line x + 2y = 1? A.…

A:

Q: Find an equation for the line tangent (in general form) to the circle at point (4,-3). The circle…

A: For the figure  given below: Equation of a tangent to a circle at point (a,b)  with radius r and…

Q: What is the radius of a circle whose center is at (-6,7) and is tangent to the y-axis?

A: Given that: center=-6,7 and tangent to the y-axis