3. Find the coordinate of the point which divided the join of PQ in the ratio 2:3 internally and externally, the coordinates of P and Q being (2, -1) and (-3, 4) respectively. Also find the coordinates of the mid –point.

Q: For the point P(22,22) and Q(29,27), find the distance d(P,Q) and the coordinates of the midpoint M…

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Q: . In the diagram below of AACT, D is the midpoint of AC, O is the midpoint at AT, and G is the…

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Q: Given two points P and Q, determine the coordinates of points M1, M2, ..., Mn-1 in the segment from…

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Q: In what ratio is the joint of A(3,-1) and B(-7,9) divided by the point P(-1,b)Hence find the value…

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Q: A PQR is circumscribed about Circle C. A triangle is a circumscribed triangle if each of its sides…

A:

Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P1(x1,…

A: Given:

Q: Where should the point:p be chosen on the line segment So as to maximize the angle o ? AB 2

A:

Q: Find the ratio in which the point p whose abscissa is 3 divides the join of A(6, 5) and B(-1, 4) and…

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Q: Without plotting the points or drawing the figure, find the coordinates of the new vertices of the…

A: given pentagon with vertices at V(3,2), W(5,10), X(6,12), Y(−0.5,1.25), Z(1,0)

Q: If a point on the pre-image has coordinates (3, -4), and the coordinates of its image are (12, -16),…

A: Given: A point on the pre-image has coordinate (3,-4), and the coordinate of its image are (12,-16)…

Q: given the points M (-3, -4) and T (5, 0), find the coordinates of the points Q on directed line…

A: The given points  M(-3,-4).   And N(5,0) Ratio m:n =2:3

Q: 4. The perpendicular offset of the PT of a simple curve is 120.20m. If the angle of intersection is…

A: I am attaching image so that you understand each and every step.

Q: The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM…

A:

Q: 8. If the perimeter of a sector is 4 times its radius, then the radius measure of the central angle…

A: Given that Let the radius = r Perimeter P = 4r

Q: Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8,…

A: Given points are A(1,2) and B(8,16). M be the point that divides the line segment AB in the ratio…

Q: If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the…

A: It is given that r is a positive number.

Q: Given the points A(-1, 2) and B(7, 14), find the coordinates of the point P on directed line segment…

A: Given: A(-1, 2) and B(7, 14) To find: The coordinates of the point P on the directed line segment…

Q: 12. in the diagram below of isosceles triangle ABC, AB CB and angle bisectors AD, BF , and CE are…

A: topic - triangles

Q: Given the points A(-3,-4) and B(2,0), point P(-1,-) partitions AB in the ratio

A:

Q: 3 Find the coordinates of point C on segment [AB], shown below, such that the length of [AC] is - of…

A: Given

Q: 4. AB intersects CD at E. If the mLAEC is 8x- 15 and mLAED is 9x + 76, find all the angles.

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Q: For the point P(22, 16) and Q(29,21), find the distance d(P,Q) and the coordinates of the midpoint M…

A: Given points are P22,16 and Q29,21. To find the distance dP,Q and the coordinates of the midpoint M…

Q: Find the points on the cone 22 = x? + y? that are closest to the point (4,-1,0)

A: Follow next step

Q: a) Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three…

A: We have been given the right angle triangle in which we have a midpoint on a hypotenuse.

Q: Given the points A(-2, 1) and B(4, 5), find the coordinates of the point P on directed line segment…

A: Given points A(-2, 1) and B(4, 5) We have to find the co ordinates of point P which divides the line…

Q: Given the point A(-3, -2) and B(6, 1), find the coordinates of the point P on directed line segment…

A:

Q: Find the midpoint OF the line segment given the FOllOWing endpaints:(si2)and(-4,1).

A: Given that End points (5,2) and (-4,1) To find the midpoint of the line

Q: On the bisector of the second and fourth quadrant determines a point p such that the sum of the…

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Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P, (x4,…

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Q: A convex octagon has interfor angles with measures (1+55). (3r+20). 4v", (4x- 10Y, (6r - 55). (3x +…

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Q: In the diagram below of triangle CDE, F is a midpoint of CD and G is a midpoint of DE. If FG = 57 –…

A: Given F is midpoint of CD¯G is midpoint of DE¯FG = 57-9xCE= 29-x

Q: 29. In triangle GHJ below, points A, B and C are midpoints of the sides. А G When AB 3x + 8 and GJ =…

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Q: In rectangle ABCD of Figure P.25, the line segments AC and BD shown are the diago- nals of the…

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Q: Segment KL К (12, 12) L(-6,6)

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Q: In the diagram below of triangle KLM, N is the midpoint of KM and O is the midpoint of LM . If NO =…

A: Use similar triangle property

Q: Use similar triangles to find the coordinates of the point Q that di- vides the segment from P1(x1,…

A:

Q: The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM…

A: We have to find NO

Q: 5. If two chords in circle O, MN and XY, intersect at P then ZMPX = 2( MX + NY). 6. If two chords…

A: 5. The given statement is false .

Q: In the right triangle ABC, AB=2, BC=4, and ED is a line parallel to AB. Find the angle BAD which…

A: The triangle ABC is as follows

Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of…

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Q: For the point P(4,22) and Q(11,27), find the distance d (P,Q) and the coordinates of the midpoint M…

A: Given points P(4,22) and Q(11,27) To find the distance d (P,Q) and the coordinates of the midpoint M…

Q: The points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD…

A: Topic- ratio and proportion

Q: For numbers 13 and 14, refer to figure C. 13. If RK/ MA, which of the following pairs of ratios form…

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Q: Given the points A(-3,–4) and B(2,0), point P (–1,-4) partitions AB in the ratio

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Q: Suppose you use geometry software to construct two chords, RS and TU, that Intersect Inside a circle…

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Q: After a dilation centered at the origin, the image of AB¯¯¯¯¯¯¯¯ is A′B′¯¯¯¯¯¯¯¯¯¯. If the…

A: Given ,  After a dilation centered at the origin , the image of AB is A′B′. The coordinates of the…

Q: If the coordinates of A and B are A(5,5) and B(-1,-4) respectively, find the coordinates of the…

A: As per our guidelines, we are allowed to answer the first question only, please resubmit the other…

Q: Find the measures of the angles of a parallelogram in which a pair of consecutive angles have…

A: Given that pair of consecutive angles of a parallelogram have measures in a ratio of 3 : 7.

Q: Polnt Q lies on ST , where point S is located at (2, -6) and point T is located at (5, 8). If SQ: QT…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.