Q5) Find the equation of the surface formed by rotating the following line about the x -axis. 1= {x.y.2) ): = 1, 2=0 } A) b²(a – x)² = a²v² + z*) B) b²(a+x)² = a²Cv² – z²) C) b²(a² +x²) = a²(y² – z²) D) a²(b² – x²) = b²(y +z)² E) a²(b² +x²) = b²Cy– 2)²

Q: A sphere, Si is given by the equation: r? + y² + 22 – 2x – 4y + 8z + 17 = 0 (a) Write the equation…

A: (a) Consider the given information. x2+y2+z2-2x-4y+8z+17=0 Now, write the equation in the standard…

Q: Sketch and identify the surface given by x2 + 4y + 4z2 = 0.

A: Equation of the surface is given by:x2+4y+4z2=0 we need to identity the surface and hence sketch the…

Q: 3. Find the point in which the line x=+3t , y=1- 2t , and z=1+3t meets the plane x+y-z=1.

A: Here, given equation of line is,   And the given equation of plane is, From (1) and (2),

Q: Find an equation for a plane R at a distance 9 from a plane P with equation 2x + 2y - z = 3 .

A:

Q: (a) x² + 2x + 4y² + 16y + 9z? 19

A: Sketch and identify the surfaces: (a) x2+2x+4y2+16y+9z2=19.