Given a sphere with center (6, 4, – 3) and radius 5. Find an equation of the intersection of this sphere with the xz -plane? OA (x- 6)? + (z+3)? = 9, y = 0 OB. (x – 6)* + (y - 4) + (z +3)? = 25, y = 0 OC (x - 6) + (z+3) = 25, y = 0 OD (x – 6)² + (z +3)? = 25, y = 4 O E (x- 6)? + (y - 4) + (z + 3)? = 25, y = 4 1-4

Q: Describe the yz-intercept of the sphere with the equation x2 + y2+z2 - 2x+ 10z +5 = 0

A: The given equation of sphere is: x2+y2+z2-2x+10z+5=0

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: Write the equation of a sphere that has a center at C(2, 5,-3) and contains points D(4, 1, 1) on the…

A: Given Data: The centre of the sphere is: C(h, j, l)=C(2, 5, -3) The point at the edge of the sphere…

Q: A city is described parametrically by the equation r = (ai + bj+ck) + svi + tv₂ where v₁ = 3i+j+ k…

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Q: 1. Find the equation (formula) of a sphere with radius r and center C(h, k, 1) and show that x² + y²…

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Q: Find the velocity of Zoe relative to the surface of the water.

A: The velocity of Zoe Vz is 3 km/hr to west. Velocity of the current Vc is 15km/hr to north. So, the…

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

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Q: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

Q: Points A = (−5, 12, 0) and B = (13, 0, 0) are on the sphere x2 + y2 + z2 = 132. Find the distance…

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Q: What is the equation for a sphere centered at the point (4,-3,-7) with a radius of 5.

A: The general equation for a sphere in three dimensions is given by (x - h)^2 + (y - k)^2 + (z - l)^2…

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: XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose…

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