Which of the following cartesian equation represents the locus satisfying |2 – 2 – 2i| < |z+2+ 2i| O a. y > -x O b. y < -x c. Y < x d. x > Y

Q: Find the equation of the locus of a point that moves so as to be always equidistant from A(3, 4) and…

A:

Q: 2) Provide a geometric description of the following sets of points: a) x? + y? +z? 1

A: Here we have to provide a geometric description.

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.x2 − y = 0

A:

Q: Find the max. and min. values of (x, y) = x² – xy + y on the quarter circle x² +y =1 where x.y20.

A: I use langrange multiplier method

Q: Identify the following by getting rid of the parameter and write a cartesian equivalent: x =…

A: Consider  x=−2+3cosθ, y=5−3sinθ

Q: Use the graph to approximate the number of points of intersection of the graphs of y1 and y2.

A: We are asked to find the solution of the graph

Q: Express the following points in Cartesian coordinates: (i) P(I, 60°, 2); and (ii) Q(2, 90°, -4).

A: If the coordinate is in cylindrical coordinate, r,θ,z, then the rectangular coordinate is:…

Q: Sketch and identify the path traced by the point P(x, y) if x = 1+. y =1- t> 0.

A:

Q: Which of the following equations describes all points that are 6 unlts away from th point (-2, 4)? A…

A: Given: 6 units away from the point (-2, 4)

Q: Ex:O calkulate the gui for the distance formuld in a barred coordinate system defined by R = Ax,…

A: Given  that the matrix, A = 1-223 Let X = abcd So, that  X¯ = AX = 1-223·abcd               =…

Q: = Vx, y = 0, and x = 9 is revolved about the line y = 3. %3D TOTE: Enter the exact answer. Folume

A:

Q: . If a point P is moving such that the lengths of tangents drawn from P to the circles x² + y² +8x…

A:

Q: Find the locus of the points that are equidistant to the point F (0,2) and the line y=-2 ? x2=8y O…

A: GIVEN :- F(0,2) and line y=-2  To find :- Locus of the points that are equidistant to point F and…

Q: 1) Evaluate F dr where F(r,y) = ri and C is the half of the circle %3D ²+y 3 16 lying below the…

A:

Q: Find the midpoint of these two points (4, 6) and (7, 10) Use the formulas: x = (x1 + x2)/2 %3D y (yi…

A: Consider the points, 4,6      and         7,10 The midpoints of two points is given by the formula,…

Q: 6a. Find . F dr, where F(x, y) = , and C consists of the circle x' + y = 4 from (2,0) to (v2, v2)…

A:

Q: Find the coordinates of the other point whose one end is (1,0) and its midpoint is (0,1)? O (1,-2) O…

A: Let's find.

Q: Use the unit circle to find all values of 0 on the interval 0 < 0 < 2n that satisfies k0,1) a) y =…

A: Equation of unit circle  x2 + y2 = 1 Or  r = 1 Theta = tan-1(y/x)

Q: Give a geometric description of the following sets of points. x2 + y2 + z2 - 8x + 14y - 18z ≥ 65

A: Given: x2+y2+z2−8x+14y−18z≥65

Q: Describe with a sketch the sets of points (x, y, z) satisfying the following equations. (x + 1)(y -…

A: The given equation is x+1y-3=0. This implies that, x+1y-3=0x+1=0   or  y-3=0x=-1   or   y=3 Thus,…

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: find all singular points of the given equation and determine whether each one is regular or…

A:

Q: Find the Cartesian equation of the locus of points satisfying PA + PB = 12, where A is the point…

A:

Q: Are the points H and L collinear? U S E H.

A: Collinear means the points which lie on the same line.  From the image, we see that H and L lie on a…

Q: The Cartesian equation for the curve z = sect, y= tant, -<t< is Select one: O y=z. O none of these…

A:

Q: Test for symmetry with respect to each axis and to the origin xy−√(4 − x2) = 0

A:

Q: Which of the following equation is symmetric with respect to a- axis and y- aris. O z6 - y = 50 O z8…

A: here 5th option is correct. Graph of x4-y6=25 is symmetric both about X- axis and Y axis. Graph of…

Q: 4- Find the direction and direction from the point (1, 3) for which the values off do not change,…

A: 4)Given isfx,y=e2y arc tan3y3x at point 1,3A function  fx,y has no change in any direction that is…

Q: 1. Choose a point Q1 in between P and Q. Connect the two points P and Q1 to construct the secant…

A: Given: The graph of the function, y=fx.

Q: Show that the following sets of points are collinear and find the equation of the line L containing…

A:

Q: | the parametric equatioin for e line segment between a7) and (3,3)

A:

Q: Exercise 1.2.16 Find the circle x2 +y² +ax+by+c=0 passing through the following points.

A:

Q: E Find the equation of locus of a point P such that PA+PB²=2c² where A (a, o),B = (-a, o) and 0 <…

A: we have to find the equation of locus of a point P .  For this we can use distance formula

Q: Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and…

A:

Q: Find the equation of locus of a point P such that the distance of P from the origin is twice the…

A:

Q: ind an equation of the line of intersection of the following two plane x + y + z = 0 nd 2я — у + 32…

A: We have to find out

Q: Which of the following point is the farthest point on the sphere z? + y² + z² = 4 from the point…

A:

Q: Which of the following is NOT a formula for finding the distance between two points on the…

A: Topic = Coordinate geometry 1st option is correct answer.

Q: 11. Find the angle of intersection between the pair of curves. 30° 45° 60° 75° none of these

A:

Q: Show that the following sets of points are collinear and find the equation of the line L containing…

A:

Q: Provide a geometric description of the following sets of points: a) x? + y? +z? 1

A:

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

A:

Q: Q5. Prove that the circle {(r, y), x² + y? = 1} is not homeomorphic to the interval [-1, 1].

A: Here we can prove this question using topological property connectedness.

Q: Give the Cartesian equation of the locus of points P(x, y) given that P is 5 units from the point…

A: Any point on the Cartesian plane is represented as x, y. The locus is a set of points on the…

Q: Find the x- and y-coordinates of the labeled point. Ay 10- The coordinates of A are 8- (Type an…

A: The labeled point lies on the x- axis . So its y-coordinates is zero .

Q: Let's consider points X and Y on the coordinate plane below. y Y (x2, Y2) x (x1,Y1) Write a formula…

A: Consider the given graph. We have to find the formula that can be used to find midpoint of any 2…

Q: The domain of ƒ(x, y) = In xy is points .(x, y) in the first quadrant

A: We have to tell about given statement.

Q: A(1, 1) and B(2, -3) are two points and D is a point on AB produced towards B such that AD= 3AB.…

A:

Q: What does the following equation represent in R? 7x - 6y = 0 Circle Line Plane None of the others…

A: Topic:- geometry