3. Let A, B, and C be three distinct collinear points such that AC

Q: What are the coordinates of the point on the directed line segment from (-6, –3) to (-1,7) that…

A:

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: Show that the points (5,4,2) ,(6,2,-1) and (8,-2,-7) are collinear

A:

Q: There are 8 points in a Plane out of which 5 are collinear how many straight lines can be formed?

A: We have given that  There are 8 points in a Plane out of which 5 are collinear how many straight…

Q: what are the coordinates of the point on the directed line segment from (-6,-1) to (6,-9) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-4, 10)(−4,10) to (5,…

A: The coordinates of the line segment are (-4, 10) and (5,1). We need to find the coordinate of that…

Q: What are the coordinates of the point on the directed line segment from (–1,9) to (3, –7) that…

A: According to question given thatLine segment from (-1,9) to (3,-7) that partitions the segment into…

Q: What are the coordinates of the point on the directed line segment from (-4,-9) to (1,1) that…

A: This question is related to line. We will solve this question by using section formula.

Q: What are the coordinates of the point on the directed line segment from (-1, -9) to (2, 6) that…

A: Use the section formula and simplify.

Q: What are the coordinates of the point on the directed line segment from (-10, -1) to (-3,-8) that…

A: we have to find the coordinates of the point on the directed line segment into  a ratio 6 to 1

Q: What are the coordinates of the point on the directed line segment from (-1, –6) to (8, –3) that…

A:

Q: What are the coordinates of the point on the directed line segment from (–10, –3) to (-3, –3) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-6,-6) to (9,-1) that…

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: What are the coordinates of the point on the directed line segment from (-10, 4)(−10,4) to (-5,…

A:

Q: What are the coordinates of the point on the directed line segment from (-6, 7) to (9, –5) that…

A:

Q: Show that the embedding of part (g) takes lines to "lines."

A: (h) We have to show that lines from ℝ2 maps to lines in P2. Lines in ℝ2 will be of the form ax+by=0.…

Q: Let S be a set of five distinct points in the plane with integer coordinates. Show that the midpoint…

A: Given S to be set of five distinct points in the plane with integer coordinates. Let the coordinates…

Q: Determine homogeneous coordinates of the points (3,4) and (1-,7)

A: Homogeneous coordinate:-converting any two dimension coordinate to three dimensional coordinate  (x,…

Q: 2. Locate point C such that mZDBC = mZBDC = mLADB. %3D %3D

A: I assume that You have already find the position of point D.

Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9, 8) that…

A: Our Aim is to find the coordinates of the point on the directed line segmentfrom (4,3) to (9,8) that…

Q: A trapezoid is shown in the coordinate plane. 10 9- 8 7- 6- 5- 4 3- 2- -10 -9 -8 -7 -6 -5 -4 -3 -2…

A: Given is a trapezoid, when we divide it into 2 parts   equally, the left and right side will be…

Q: What are the coordinates of the point on the directed line segment from (-7, -6)(−7,−6) to (3,…

A: A line segment having coordinates -7,-6 & 3,-10 is divided in the ratio 1:3

Q: What are the coordinates of the point on the directed line segment from (4, 3) to (9,8) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8, -8) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-9, –1) to (-9, –10) that…

A:

Q: What are the coordinates of the point on the directed line segment from (3, 3) to (10,-4) that…

A: General formula

Q: What are the coordinates of the point on the directed line segment from (1, – 5) to (10, 1) that…

A: The given coordinates of the line segment are 1, -5 and 10, 1. The required point divides the…

Q: What are the coordinates of the point on the directed line segment from (-7, -9)(−7,−9) to (-5,…

A: We have to find the coordinates of the point on the directed line segment from (-7, -9) to (-5, 7)…

Q: What are the coordinates of the point on the directed line segment from (–10, –3) to (2, –3) that…

A: Use section formula to find coordinate.

Q: What are the coordinates of the point on the directed line segment from ( 1,9) to (3,-7) that…

A:

Q: What are the coordinates of the point on the directed line segment from (−4,3)(−4,3) to…

A:

Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8,-8) that…

A: Let P =(-1,4), R = (8,-8) and Q be the point that partition this line segment in the ratio 2:1. We…

Q: 2+9z X =,26+,A

A: Draw the quadratic surface y2+9z2=x using traces. Solution: The traces of the surface y2+9z2=x is…

Q: What are the coordinates of the point on the directed line segment from (−10,−3)to (−10,−3)that…

A: It is known that the point C that divides a line segment in the ration m:n will be of the form…

Q: 1. Find the distance from the point to the given line by using the distance theorem…

A: Suppose the line l is Ax+By+C=0 and any point is P0x0, y0. Then the distance from the point P0 to…

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

A:

Q: Show that the points (5,4,2),(6,2,-1) and (8,-2,-7) are collinear

A: The points are A(5, 4, 2), B(6, 2, -1) and C(8, -2, -7) The points are collinear if the directional…

Q: What are the coordinates of the point on the directed line segment from (3, -1)(3,−1) to (9, 8)(9,8)…

A: We have to find the coordinates of the point R which divides PQ in the ratio 1 : 2, where P=(3, -1)…

Q: What are the coordinates of the point on the directed line segment from (- to (10,-2) that…

A: the given points are: (-4,-10), (10,-2)If (x,y) be the coordinate of the point than partition the…

Q: What are the coordinates of the point on the directed line segment from (-8, 2)(−8,2) to (7,…

A: We have to find the coordinates of partition.  For this we will use the section formula

Q: What are the coordinates of the point on the directed line segment from (-3, -9)(−3,−9) to (4,…

A:

Q: What are the coordinates of the point on the directed line segment from (−1,−8)(−1,−8) to…

A: The given coordinates of the line segment are A(-1,-8) and B(5,-2) . Let C be the point that divides…

Q: What are the coordinates of the point on the directed line segment from (–10, –1) to (10,-6) that…

A: If a point on the directed line segment from (x1, y1) to (x2, y2) partitions the segment into a…

Q: What are the coordinates of the point on the directed line segment from (-4, – 10) to (10, –2) that…

A: To Find: Coordinates of the point on the directed line segment from -4,-10 to 10,-2 that partitions…

Q: What are the coordinates of the point on the directed line segment from (-1, –2) to (9, –10) that…

A:

Q: What are the coordinates of the point on the directed line segment from (-8, 1) to (2,-7) that…

A: When the point P lies on the line AB with coordinates of A x1,y1 and B x2,y2 and P divides the line…

Q: What are the coordinates of the point on the directed line segment from (-1,-10) to (7,6) that…

A: To find the coordinates point.

Q: What are the coordinates of the point on the directed line segment from (-8, 9) to (-6, –3) that…

A: