Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the image. If the pre-image point move on y = 2 from left to right, what is the orientation of the image point?

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

A:

Q: Write the equation of the circle with center at   (4, 3) and touching the line 3x + y = –15.

A: Given that, the circle with center at 4,3 and touching the line 3x+y=-15.   The objective is to…

Q: Which of the following points lies on the circle (x-2)2 + (y-3)2 5? Select one: a. (3,5) b. (5, 3)…

A:

Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: 1. A(-8,4) 2. B(-2,-6) 3. C(5,5) 4. D(0,-8) 5. E(10,-3) 6. F(6,0) 7. 8. H(0,0) 9. I(5,1) 10. J(9,-7)…

A:

Q: What is the equation of the circle passing through the points A(-1,3) and B(3,-3) and whose center…

A:

Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: Find the equation of bisector of the acute angle between the lines 3x – 4x + 7=0 and 12x + 5y – 2 =…

A:

Q: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: Find the equation of the circle passing through (7,5) and (3,7) and with center on x-3y+3=0.

A: