• Consider the surface given by the equation (r- 1)² + (y+3)2 - (z-2)² = 1. Which of the following are its y-intercepts? a. 1 and 5 b. -1 and -5 c. 2 and 4 d. -2 and -4 а. b. O d.

Q: Write the equations of the lines tangent to the circle (x + 3)² + (y – 4)² = 18 and are…

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Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: 2. Find an equation for the line through the point P(1, 0, -3) and perpendicular xy-plane. to the

A: Answer

Q: 7. The radius of the circle whose equation x + 6x + y – 6y – 7 = 0 is

A: Your answer Radius =5

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

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Q: Write the standard equation of a circle with the center at (-1, -4) that passes through the point…

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Q: Identify and sketch the graph of the following SURFACES. 2 = √9-y²

A: We have z=9-y2 Since z is square root of 9-y2 so z is positive always. We can write z=9-y2 as:…

Q: What is the equation of a circle in general form with center at C(8, – 9) and tangent to the y- axis…

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Q: The equation of the circle whose radius is 3 units and whose center is the intersection of the lines…

A: As we know that the standard form of the circle is: x-h2+y-k2=r2 Where Center : h,k and radius : r…

Q: 1. Find an equation of the perpendicular bisector of the segment joining(3. -1) and (-1. 7). (A) x +…

A: Here we have to find the equation of line which is perpendicular bisector of the segment joining(3.…

Q: (b) Evaluate 2 + 5z zdz, 22 — 2х — 3 - where C' is a circle |z + 2| = 2.

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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: The equation of the line tangent to the intersection of two surfaces 2 = a2 and z 25- y? at the…

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Q: Find the length of the chord of contact with respect to the point on the director circle of circle…

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Q: - 2y : Sketch in one coordinate plane the circies 2x – 6y + 6 = 0. Then, find their points of…

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Q: Which of the following equations describes a parallel line to y-3x+2?

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Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: Find the x² + y² − 3x − 6y + 14 = 0, - equation of the circle which cuts th x² + y² − x − 4y + 8 = 0…

A: The circle having center at the radical center of the three given circles and radius equal to the…

Q: x = z? + y? Name of the surface

A: x=z2+y2 We need to name the surface.

Q: ort er 2x² + 2y² + 4x + 8y + 8 = 0 is the equation of a circle with center (h, k) and radius r for:…

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