In three dimensional space, the equation |1+2x+3x2 2+3x +x2 3+x+ 2x2 1+2y +3y 2+3y+y² 3+y+ 2y² = 0, represents 1+2z + 3z2 2+3z +z2 3+z+2z2 (A) Three planes (B) Only three straight lines (C) A sphere (D) Only a point

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: Determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0

A: We have to determine the surface with the equation 2x2-3y2-4z2-12x-6y-21=0.

Q: Can two horizontal planes intersect?

A: Explanation: If two planes are horizontal, it means both are parallel to the x-axis.

Q: Determine the coordinates of the center and the value of the ra sphere x2- y2-2- 10x - 6y - 12z --54…

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Q: What is the center of the sphere given by the equation x² − 6x + y² – 2y + z² + 8z + 17 = 0? -…

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Q: The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4)…

A: Topic :- 3-D  Geometry

Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

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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: Show that the point (5,4,2), (6,2,-1) and (8,-2,-7) are collinear

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

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Q: Write the equation form for the plane defined by co x1 + 1 Ex2 + -10 -0-0-0 + s 3 + t X = x3 = -1 3

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Q: Given JKLM is a Rectangle, JL= 2x + 5 and MK = 4x-11 Find the value of x and MK. J M L

A: JKLM is a rectangle. The diagonals of a rectangle are equal.

Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

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Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

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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