3. STRAIGHT LINE AND CIRCUMFERENCE. Determine the relative position of the line y = 3 - 2x with respect to each of the circles. (Relative position is knowing if the line and the circumference are secant, tangent or exterior to their graphs) a) x2 + y2 - 2x + 3y + 2 0 b) x2 + y2 – 3x + 4y – 3 = 0 c) 2x2 + 2y2 + 3x + 5y - 5 = 0 d) 3x2 + 3y2 + 2x + 6y + 1 = 0. I

Q: iv) y=-x- 3 1 v) y=-2x+ vi) y=;* 1 21 y y y 1 =-2.5 1 2 2 y y y 2 2 2 -2 -2 -2 2 -2 2 2 y-intercept:…

A: We have to write equation in the form x/a+y/b=1 for y-intercept , here b is y-intercept

Q: The circles defined by the equations (x + 3)2 + (y- 2)2 20 and (x +3)2 + (y - 2)2 = 45 have the same…

A:

Q: a circle with an equation of x² - 4x + y² + 2y = 4. 5+ 4 3 2 1 4 -3 -2 -1 ear All Draw: -1 -2 -3 -4…

A: Given query is to draw the circle.

Q: 2. Write the equation of a circle in standard form with a center of (-8, 12) and that passes through…

A: Given the center (h,k) = (-8,12) And the circle passing through the point (-15,12). To find the…

Q: 2.Express the equation in standard form and indicate the center and radius, if a circle exists. a.…

A: Part a,Given,            x2+y2-10x-14y-7=0We know that,          The general equation of the circle…

Q: Find the center and radius of the circle with equation (x - 3)² + (y + O A. center: (3, -2); radius:…

A: The standard equation of a circle is given by x-h2+y-k2=r2, where (h, k) is the center of the circle…

Q: radius

A: We have to show the graph and label the intersections  as points according to given information.

Q: Draw the circle (x+2)2+ (y-1)2=4

A: Given: (x+2)2+(y-1)2=4         ......(1)

Q: Find the equations of the circles passing through the point (-4,3). Couching the lines x + y 2 and x…

A: Since the circle touches the line x+y=2 and x-y=2, then we can conclude that the center of this…

Q: Plot the following points: (3,1),(3,2),(3,3),(4,3),(−7,−7),(−3,−3),(−4,1),(0,0) 2. Find the…

A:

Q: Which are the center and radius of the circle with equation (x + 5)- + (y – 4)² = 9? O A. (-5, -4);…

A: Option C is correct. Please see below for solution

Q: Plot the points in the city circle with center  (−3, −4)  and radius r = 2 blocks.

A: To Plot the points in the city circle with center  (−3, −4)  and radius r = 2 blocks.

Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…

Q: Find all the intersection points of the following two circles: - The center circle (0,0) And its…

A:

Q: Determine the standard form of the equation of a circle which contains the point (-1, 1) whose…

A: Standard equation of circle with center (h , k)  and radius r :-               (x-h)2 + (y-k)2 = r2

Q: Use the information provided to write the equation of each circle. 18) Center: (-15, 14) Radius: 1…

A: The equation for the center of the circle is(x - h)2 + (y - k)2 = r2  Where:(h,k) are coordinates of…

Q: A circle is circumscribing a triangle formed by the lines y=D0, y=x and 2x+3y=10. Find the area of…

A: Given that,A circle is circumscribing a triangle formed by the lines y=0, y=x, and 2x+3y=10.The area…

Q: Which are the center and radius of the circle with equation (x + 5)2 + (y - 4) = 9? OA. (-5, -4); r…

A: The given equation of the circle is: (x+5)2+(y-4)2=9...(1) The standard equation of the circle is:…