c) Write the equation of the circle 4x? + 4y? + 4x – 16y – 20 = 0 in standard form. Hence, determine the centre and radius of the circle.

Q: 1. How will you determine the center and radius given the equation of the circle  in general form?

A:

Q: IL Use the information provided to write the general form equation of each circle. (z+ 6) + (y- 10o)…

A:

Q: Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0, 21x-20y-70-0,…

A:

Q: 7. Find the diameter of a circle whose equation is (y- 2)2=100. %3D 100 O 400 O 20 10

A:

Q: Reduce to standard form and draw the circle whose equation is 4x2 + 4y2 – 4x – 8y – 31 = 0.

A:

Q: The equation of a circle is given below. Identify the ce 53 2x-16x+2y+ 10y=--

A: In the given equation Find the Centre of the circle?

Q: 4- Find the center and radius of the circle: x² + y? + 4x – 6y – 3 = 0

A:

Q: Use the information provided to write the standard form equation of a circle. Center: (12, 14)…

A: A circle is a locus of points which are equidistant from a fixed point. This fixed point is called…

Q: Write the equation of the circle (x-3)2 + (y+2)² = 25 in general form.

A:

Q: 2. What is the general equation of a circle?

A:

Q: What is standard form for the circle equation x² + y² – 16x – 2y – 16 ? 16х — 2у — 16 ? - = 0

A:

Q: Write the standard form of the equation of the circle with the given characteristics. Endpoints of…

A:

Q: find the equation of the circle with diameter AB, if A=(3,8) and B=(11,12)

A: Given,         The equation of the circle with diameter AB where A3,8 and B11,12.

Q: 1. Find the equation of the circle that circumscribes the triangle whose sides are formed by the…

A:

Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

A:

Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

A:

Q: Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0, 21x-20y-70-0,…

A: Since, the student has asked for the part (C), so we are solving accordingly third part (C).

Q: Find the center and radius of the circle by completing the square 2 x + y + 4x – 6y + 9 = 0 - Center…

A:

Q: A circle is given with the equation x2+y2−8x+6y+19=0. What is the equation of the circle in standard…

A:

Q: 1. State the centre and radius of the circle with equation and hence sketch the circle, a? – 4x + y?…

A:

Q: 1. Write the standard equation of a circle with the given center and radius. a. (0,0); radius=7 b.…

A:

Q: 3. Find the center and the radius of the circle and sketch the circle 2x? + 2y? – 4x + 8y – 4 = 0

A:

Q: The radius of the circle x2+y2=9 is 3.

A: Consider the given circle as x2+y2=9

Q: 2 2. Write the equation in standard form for the circle x+ y' + 8y 34 0. Submit

A: Given the equation for the circle is x2+y2+8y-34=0

Q: 5) Write the standard equation of the circle. -3 3x

A:

Q: Use the information provided to write the standard form equation of the circle. Center: (12, -6)…

A: This question related equation of circle.

Q: Identify the center and radius of the circle. x2 + y? – 4x + 10y – 7 = 0 %3D

A:

Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

A:

Q: D. Reduce to standard form and draw the circle whose equation is 4x^2 + 4y^2– 4x – 8y – 31 = 0.

A: topic - equation of circle in standard form graph of circle can be drawn by taking (0.5 ,1 ) as…

Q: Find the standard equation of the circle concentric with x? + y? +2x – 4y – 5 = 0, radius is 7.

A:

Q: Show that the equation represents a circle by rewriting it in standard form. x2 + y2 − 8x + 10y +…

A: Given: x2 + y2 − 8x + 10y + 25 = 0

Q: show that the equation represents a circle by rewritig it in standard form 6x^2 +6y^2+12x-y =o

A:

Q: 21. center: (-1,3); radius: 8

A: We know that the equation of the circle with center and radius is (x-h)2+(y-k)2=r2.

Q: Use the information provided to write the standard form equation of each circle. Center: (-6, -15)…

A:

Q: B. Write the equation of a circle with a radius of 5 and a center at (1,-2).

A:

Q: 1. Rewrite this equation to find the center and radius of the circle: x2 +6x +9+y? - 10y+25 = 64 2.…

A: Given, x ^ 2 + 6x + 9 + y ^ 2 - 10y + 25 = 64 Simplifying the above equation we have,…

Q: Based on the equation of the circle, what is its center and radius? 2 2 8x + 8y + 24x – 20y - 39 = 0…

A:

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: Two vertices of equivalent triangle are 0, 0  and  2a, 0. Clearly, the distance between 0, 0  and…

Q: 1. Find the center and radius of the circle x² + y? + 2x – 4y = 4 by completing the square.

A:

Q: Find the inverse of the circle x2 +y? = a?, the centre of inversion being the origin.

A: given circle is                                                 we know that inverse of a function…

Q: How would I draw the circles to these points?

A: (1) It is known that, the standard form of the equation of a circle with the center at (0,0) is,x2 +…

Q: Write the equation of the circle: center at (-2, 7) diameter of length 28

A:

Q: Given the equation of the circle x^2 + y^2 + 12x− 4y+ 31 = 0 a. Write the equation in standard form.…

A: a.Given the equation of the circle x^2 + y^2 + 12x− 4y+ 31 = 0.

Q: x²+y*+8x -6y + 24= U %3D

A: Explanation and solutions is given below....

Q: 3. Find the center and the radius of the circle and sketch the circle 2x2 + 2y? – 4x + 8y – 4 = 0

A: EQUATION OF THE CIRCLE : 2x2+ 2y2- 4x + 8y - 4 =0

Q: Given the equation of circle ( x – 15 )? + ( y + 8 )² = 289. Which of the following is the…

A: Topic = Circle

Q: 1. For the circle with equation (x - 2)² + (y + 3)? = 9, answer each question.

A: Given:  x-22 +y+32=9 To find:  1. What are the coordinates of the center? 2. What is the radius of…