The standard equation of the sphere that has center (1,-2,1) and passing through the origin, is given by Px+1)²+(y-2)²+ (z – 1)² =6 Ox +1)2+(y-2)²+ (z – 1)² = 36 O (x-1)2 +(y+2)² + (z–1)² =6 (x-1)? +(y+2)² + (z+1)? = /6

Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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A: A sphere is object that is 3-D analogue to a 2-D circle. If its center at the point (a, b, c) and…

Q: a) y = (x - 4)² b) у 3 (х — 2)2 -4 c) y = (x + 3)² – 2

A: (a) In the given equation y=(x-4)2, At x=0 and x=8, y=16 At y=0, x=4. Thus, the x-intercept of the…

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A: topic- algebra

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Q: Find an equation for the sphere with center at (-7,8,0) and radius = 9 O x2 + y? O x2 + y2 + z- -…

A: We have to find

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Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: 0/ Find the Palametric equations of the line of intersection of Planes? PL= -2x+3y +7Z =-2…

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Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2…

A: Biref answer is given below.

Q: Find the equation of the hyperbola with vertices (- 3, 2), (5,2) and foci (- 4,2), (6,2) O (x- 2)2…

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Q: C) (y+2)2=.24(y+2x) D) (x-2)²=-24(y+4) E) (x+2)²=-24(y+2)

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

Q: (x-10)² (y-2)² + 144 36

A: Given query is to find the general conic form.

Q: what is the standard form of this conic section? 9x^2-4y^2-36x+8y-4=0    a. (x-2)^2 /2- (y-1)^2/9 =1…

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Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

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Q: Find the center of the ellipse 16x² +9y² - 64x - 54y + 1 = 0 (a)_(-2, 3) (b) (-2, -3) (c)_(2, -3)…

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Q: What are the foci of the ellipse given by (z-3)2 (y-1)2 - = 1? 25 O (-4, 1) and (4, 1) O (3, 5) and…

A: Topic : foci of an ellipse

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A: Solution: