Are the points A(2, – 3), B(5, 1), and C(-4, - 11) collinear?

Q: 2. (a) Show that the points (-2x, 5x), (0, 4x), (6x, x) are collinear.

A: Given that: (-2x, 5x), (0, 4x) , (6x, x)

Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: Give the coordinates of the point (12, 15) reflected over the x-axis. (-12, -15) B (12, 15) © (12,…

A: Given  The co-ordinates of the given point =12,15

Q: What are the coordinates of point D? O2,-3

A: Given cartesian plane is :

Q: 4 TA 2 -6 -4 -2 2/ 4 6. -2 -4

A: We can find the coordinate of the image of B as below.

Q: Write the coordinates of the vertices after a reflection over the line y = -5. 104 4 2. -10 -8 -9-…

A: Given query is to find the the cordinatea of vertices after reflection over y= -5.

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A:

Q: The midpoint of AB is M(-1, -5). If the coordinates of A are (3, –8), what are the coordinates of B?

A: A detailed solution is given below

Q: Which of the following coordinates exists on the line y = 3x+ 1? А. (2, 6) В. (-1, -2) С. (3,4) D.…

A: Solution is B) (-1,-2)

Q: The diagram below shows a Figure on a coordinate plane.

A: Given figure:

Q: 5/1f the three points A ( are collinear then

A:

Q: Write the coordinates of the vertices after a reflection across the line y = 1. V 101 T -10 10 -10…

A: Given:

Q: Determine if the points X(26, 24), Y(2, 22), and Z(0, 5) form the vertices of a right triangle.

A: Given points are X26,24, Y2,22 and Z0,5. To determine whether points form the vertices of a right…

Q: Find the coordinates of any point p1, p2, p3 - p4 symmetrically y = ax + b

A: We have to find images of every point p1,p2,p3 and p4 about a line y=ax +b Let us suppose, p1(x1 ,…

Q: Show that the points A(3,-2,4)B(1,1,1,) and C(-1,4,-2) are collinear

A:

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

A:

Q: Find the equation of the perpendicular bisector of side of the triangle having vertices A…

A: The triangle has vertices A (-1,-3),B(5,-3) and C(5,5) so to find the perpendicular bisectors let D,…

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: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

A: If there points A,B,C are co linear then we can have  |AB|+|AC|=|BC| . (A,B,C may have interchanged…

Q: Suppose A(-9, -8) and B(-4, -6). What is the x coordinate of the midpoint for AB?

A:

Q: find the point p such that v=pq has the components (5,-7,-4)

A: find the point p such that v=pq has the components (5,-7,-4)

Q: Write the coordinates of the vertices after a reflection over the line y = 1. 104 8. -10 -4 -2 2 4.…

A: The reflection of the given image would be as shown in the below diagram.

Q: 10 6 4 2 -10 -8 -2 Со 4 6. TO B -2 -4 F10 00 6. 4. 6.

A: topic- reflection

Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

A:

Q: Write the coordinates of the vertices after a reflection over the line y = 2. 104 6. F E -10 -8 -6…

A:

Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

A:

Q: Are the following  points collinear    -8,12  3,5 and  25,-9

A:

Q: Find the value of p for which the point (-1, 3), (2, p) and (5, –1) are collinear. 4 3 2. O O

A:

Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

A:

Q: Determine whether the points are collinear.(−1, 0), (1, 1), (3, 3)

A: Now slope of the line joining the points A and B is, Now slope of the line joining the points B and…

Q: Find the distance and midpoint between points P(6, -3) and Q (-2, -5)

A: Given points are P(6,-3) ,Q(-2,-5)From middle point formula ,middle point between(x1,y1) and (x2y2)…

Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

Q: Enter the ordered pair for point A in the boxes. A 1. -2 1 2 -2-

A: See from the graph that, point A is located at 1.5 units left from the y axis. Thus, x coordinate of…

Q: Find the value of m if the points (5, 1), (-2, -3) and (8, 2m) are collinear

A:

Q: What is the image of the point (2, 3) by reflection in the v-axis?a. (3, 2) b. (-2. 3) c. (2, -3) d.…

A: Given: The point is 2, 3. To determine: The image of the given point by reflection in the v-axis.

Q: If point A is reflected over the y -axis and its original location was (2,3), where is its new…

A:

Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: Are these points collinear? а) А(-2, 5), В(0, 2), and C(4, — 4) b) D(-1, — 1), Е(2, — 2), and F(5,…

A: (a)       A-2,5, B0,2, C4,-4      AB=-2-02+5-32      =4+4      =22BC=0-42+2--42      =16+36…

Q: Write the standard equation of each círcle. Center (2, -8); r=-9 2 2 (x ) + ly Center (-9, -4); r=4…

A: let C(h,k) be the center of a circle and A(x,y) be a point on the circle .Therefore , the radius of…

Q: Determine whether the points are collinear. (4, 12), (-4, -20), (-2, –16) O collinear O not…

A:

Q: Determine whether the three points are collinear. (0, - 6), (– 3, – 18), (2,2) Are the three points…

A: We have to  calculate whether three points are collinear

Q: Determine whether the points are collinear.(1, 2), (3, 4), (5, 6)

A: Given the points ( 1, 2 ), ( 3, 4 ), ( 5, 6 ). For the points to be collinear, area of the triangle…

Q: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line

A: Please find the solution in the attached images :

Q: What are coordinates of AABC with A(-4,3), B(3,1), and C(2,-5) after a reflection over the line y=x?

A: The coordinates of triangle ∆ABC are A-4, 3, B3, 1 and C2, -5To find the reflection over the line…

Q: Find the distance from the point P(-1,3,-5) to the plane through the three points Q(3, 1, -3). R(4,…

A: The points passing through the plane are: Q3, 1, -3R4, 6, -5S5, -4, -6

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

A: Three or more points are collinear, if slope of any two pairs of points is same. With three points…

Q: If the points P(-4,-1,1), P(2, c, 7), and P.(-1, 1, 4) are collinear, then the :value of c is

A: Given points are P1-4,-1,1, P22,c,7 and P3-1,1,4. To find value of c for which given points are…