1) Find The coordindtes of the ciritical point Of the 2. Corve Y= メー R.) Find the courdinates Of the point of mflechon of the curve y = x3 - 3x2 3) Find the coordinates of the Maxı mun point of the wrve x3-12x +8

Q: Give the dual of the phrase "three collinear points and a fourth point not on the line of the other…

A: Dual of any phrase can be find by replacing the conjunction connective with disjunction connective…

Q: Find the distance from the point to the given plane. (1, -4, 6), 3x + 2y + 6z = 5

A: Given:   3x + 2y + 6z = 5     Point: ( 1 , -4 , 6 )

Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

A:

Q: *5. Prove that no two lines in hyperbolic geometry are equidistant from one another by showing that…

A: To prove that no two lines in hyperbolic geometry are equidistant from one another , first we…

Q: The plane passes through the point (18, -16, 9) and contains the line given by = = z . 1.

A:

Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (9,5),…

A: Consider the receiving stations:

Q: B. Constructing a parallel through a point (rhombus method) Given: PQ and point K

A: Steps:  1) Place the compasses on point K and set its width to a little more than the distance to…

Q: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

A:

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

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

A:

Q: Find the coordinates of the point 7 of the way from A to B. of the way from A to B are The…

A:

Q: The set of all points in a plane the sum of whose distances from two fixed points is constant is…

A: We have to fill the blanks The set of all points in a plane the sum of whose distances from two…

Q: The midpoint of AB is M(-4,0). If the coordinates of A are (-6, 4), what are the coordinates of B?

A:

Q: Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point?

A: The distance of a point from the yz-plane is given by the x coordinate of the point. Because, the x…

Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

Q: Find the points on the cone 22 + y? that are closest to the point (-2,2,0) %3D

A:

Q: Postulate 12 states that if two points lie in a plane, the line that contains them lies in the…

A: We need to determine whether the given statement is true or false. Postulate 12 states that if two…

Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

A:

Q: The distance between the point (9, 8, 3) and the plane x + y−2z = 5 is _____.

A:

Q: If the straight lines are coplaner then they are?

A:

Q: Exercise 2. Find a formula for the curve which is traced by the motion of a fixed point on a wheel…

A:

Q: Find the distance from the point to the given plane. (1, -2, 4), 3x + 2y+ 6z= 5

A: Given : Point : 1,-2, 4 Plane : 3x+2y+6z = 5

Q: The endpoints of directed line segment PQ have coordinates of P(-7,–5) and Q(5,3). What are the…

A: Given:

Q: Show the symmetry tests for the curve r=3-3costheta

A: Consider the curve

Q: *5. Prove that no two lines in hyperbolic geometry are equidistant from one another by showing that…

A: Hyperbolic Geometry:        It is also a non-Euclidean geometry. It is through a point not on a…

Q: Depict the relationship of Parallel Postulate and Euclidean  Geometry.

A: Let's write answer,

Q: What is the locus of points in space equidistant from two parallel planes?

A: Locus: If the two lines are in Rn the points equidistant from them form an n−1 dimensional…

Q: Find the distance from the point to the given plane. (1, -3, 4), 3x+2y+ 6z = 5

A: Distance from point to plane formula If Ax + By + Cz + D = 0 is a plane equation, then distance from…

Q: A parabola is the locus of a point equidistant from?

A: Answer : A parabola is the locus of a point equidistant from a fixed point and a fixed line.

Q: the distance between point and our plane is (-3, 3, -2) and not (-3, -3, -2)?

A:

Q: Find 3 non-collinear points in the plane ax+by+cz+d=0. (Hint: Set two variables to zero for each…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1)  B(3,1,-5)  and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: Choose the correct option. If the locus of the circumcentre of variable triangle having sides x = 0…

A: From the given information Coordinates of A is (0,2) At B , the value of y is 2…

Q: 2) 2 4-2

A:

Q: 5. What are the (x, y) coordinates of the point where the terminal side of 0 circle? (ə) (-;-)

A: For unit circle, r = 1 x = r*cos(Q) y = r*sin(Q) Q = 4π/3

Q: The coordinates of point P are (7,1). What are the coordinates of the image of P after Rog. about…

A:

Q: 4. Find the equation and sketch the graph of a plane that is parallel to the yz-coordinate plane and…

A: We know that equation of plane parallel to yz-coordinate plane is given by: x=k where k is some…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

A:

Q: Calculate the distance between the points K=(-9,7) and M=(-4, 2) in the coordinate plane. Give an…

A:

Q: the midpoint of the perpendicular distance between two chords of a given circle is the center of the…

A: Given query is to find statement is true or false.

Q: Determine the midpoint that lies between the two given points. (3π, 3) and (6π, 9)

A:

Q: Explain why a line in hyperbolic geometry must contain two distinct ideal points.

A: We have to answer given Questions.

Q: Consider the two points (4,2) and (10,4). The distance between them is:   The x co-ordinate of the…

A:

Q: A circle in the xy-plane has a diameter with endpoints (-1, 3) and (7,3). If the point (0,b) lies on…

A: Topic = circle

Q: Find the coorfinates of the foci, length of the transverse and conjugate axis: 16x2 - 25y2 = 400

A:

Q: 2- Find. the pe-intercept. @through-points(-2,-3)-and-(4,8). having Shpe zandymintercept--Í©through…

A: As this is a multiple sub-parts question, according to the Bartleby Answering guideline, only first…

Q: 5. Find the distance from the point (4, -3, 6) to the plane *-2y+z=1

A: