Find the points where the line y=−3xy=-3x intersects a circle of radius 2 centered at the origin. Give exact values for the x and y coordinates.

Q: Form the diffrential equation of the family of circle having a centre on y-axis and radius 3 units.

A: the objective is to find the differential equation of the family of circles having centre on y axis…

Q: Determine the equation of the circle with radius 33​ and center (−1,0).

A: circle with radius 33​ and center (−1,0).

Q: Find the equation of a circle whose center is at (5, -1) and radius 3.

A: Equation of a circle is given by : ( x - h )2 + ( y - k )2 = r2  Where (h,k) is the centre of the…

Q: Write the equation of the circle with center at (-3, 6) that passes through (0, 6). Do not use…

A: The general equation of a circle is given by (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center of…

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 the points of intersection of the following pair of curves. 29 X+5 y = ,x3 +3x2 +5, y= 9x2 -…

A: Given

Q: Use a rectangular coordinate system to graph the circle with center (1, -1) and radius 1.

A:

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: Find the distance from the point (4, 9) to the line y = 2x.

A: