Find the equations af the rotations about the point (2, 3) at an angle e = 180°. a- x' = x-4 ; y' = y-6 b. x'= - x -4 ; Y>-y-o c. x': 4-x ; Y'= 6-y d. x= メ+4;y

Q: Find the image of B(3, 1) reflected in the line y=-2.

A: Step 1: Find foot of perpendicular of B on given line. Step 2: Use mid point formula.

Q: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: Perpendicular to 6x - 3y = 18, passing through (4,-3)

A: We have given,A line 6x - 3y = 18 and a point (4,-3)

Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

A:

Q: A line goes through the points (-4,7) and (1, 2). What is the equation of the line? A y = x – 3 By =…

A: In this question first of all we find slope of required line, then solve it further to find out the…

Q: Directions: Transform the following equations into standard form.   10. x^2 - 3x = -2   11. y^2…

A:

Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: 10. If the equation of a circle is (x- 3)* +(y+5) = 225 , find the center and radius.

A: Since, we have been given up the equation of circle (x-3)2+(y+5)2=225-(i)Our Aim is to find the…

Q: Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

A: Given:  point A2,5Rotate by 35,45 around origin 0,0.…

Q: the Föllówing equation, identify the coordinates of the center an (x - 3)2 + (y + 2)? = 81

A: Comparing with standard form of equations of circle,

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

A:

Q: 4. Perpendicular to x - 3y = 2 and passes thru (-3,5)

A: given that a line is perpendicular to the line x-3y=2 and passes through the point (-3,5). we need…