11. The equation of a sphere with center at (-3, 2, 4) and of radius 6 units is? a. x² + y² + z² +6x-4y - 8z = 36 b. x² + y² + z² +6x-4y - 8z = 7 c. x² + y² + z² +6x - 4y + 8z = 6 d x² + y² + z² +6x-4y + 8z = 36 12. What are the x and y coordinates of the focus of the conic section described by the following equation? (Angle e corresponds to a right triangle with adjacent side x, opposite side y and the hypotenuse r.) r sin2 8= cos 8 a. (1/4, 0) b. (0, TT/2) c. (0, 0) d (-1/2, 0)

Q: Find the equation of the sphere having the circle x +y+ z2 = 9, x- 2y+ 2z = 5 as a great circle.

A: The solution is below.

Q: Le area of the ellip А. 15п sq. . 25п sq. ur sq. un В.

A:

Q: Q1 a) Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and…

A: Sol

Q: In the equation (x+2)2+(y-3)2=4, the radius of the circle is. A (А) 2 B) 3 (c) 4 D 16

A: The given equation of the circle is: (x+2)2+(y-3)2=4⇒(x+2)2+(y-3)2=22...(1)

Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

Q: FIND THE VERTEX USING X=-B/2A, THEN USE TABLE OF VALUES AND FIND 4 OTHER POINTS FOR A PARABOLA…

A: (a) y=x2+2x-4 We know that the vertex of the parabola y=ax2+bx+c is -b2a,y Therefore comparing the…

Q: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

Q: 6) Consider the three points in the plane given by their coordinates: A = (0,0) B=(2,2) C=(3,5).…

A: I have explained everything with in the solution. Please go through that

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5)…

A: Given query is to find the equation of the circle.

Q: If the intersection points of the hyperbola 3x² – y² = 11 and the line 2x + y = 10 are P and Q,…

A:

Q: Select the most precise name for the quadrilateral with points R(-7,-6) S(-5,0) T(-2,0) U(0,-6)

A:

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: 6. Convert the rectangular coordinate (2, -2, 5) to (p, 0, p).

A: To conveert the rectangular coordinates  to sphericalcoordinates .

Q: 10. Which equation represents the parabola that has been vertically stretched by a factor of 5,…

A:

Q: 19.) Question is attached!

A:

Q: the Föllówing equation, identify the coordinates of the center an (x - 3)2 + (y + 2)? = 81

A: Comparing with standard form of equations of circle,

Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

A:

Q: 4) Find line of intersection for 2 planes.  2x-3y+z=5 -x+2y+3z=2

A: We will solve the problem

Q: 2. Find the eanation of the plane Containing the point (2,3,3)'and the line Of intersÉCtion 'of the…

A: We have to find the equation of plane containing the point (2, 3, 3) and the line of intersection of…

Q: (x+10)2 +(y-pie)2 = M A) give the center point location. B) what is the radius of the circle

A: We know that the general equation for a circle is (x-h)2+(y-k)2=r2, where ( h, k ) is the center and…

Q: Find the distance from the point (-3, 2, -4) to the plane 5x + 5y - 4x = 3.

A:

Q: 1. Determine the equation (in center-radius form) of the sphere whose diameter has endpoints at…

A: