1. Consider triangle AABC on the coordinate plane. Let P = (-2, 1) and Q = (2,1). Point P is on side AC and point Q is on side BC respectively. Vertex C is at C = (0,3). Vertices A and B are both on the x-axis. (a) Find the coordinates for A and B. (b) Find the midpoint of side AB. (c) What is the ratio of CP to CA? What is the ratio of CQ to CB?

Q: QR is located at Q(-5, -8) and R(-1, 3). Which pair of points would form a segment congruent to QR ?…

A:

Q: 2. Cambie a coordenadas rectangulares las coordenadas (3,π/2, 2π/3) a. (0,3√3,-3/2) b. (0,3√3,3) c.…

A: Solution: 3,π2,2π3

Q: 3. The points A(0,1), B(2,0) and C(3, −4) form a triangle. Find the angle ZBAC. (a) ∠BAC = arccos…

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Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

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Q: Decide if the following points form a right triangle by using the side lengths and the Pythagorean…

A: J(1,5)K(1,-2)L(5,-2)

Q: Which of the following points lies on the circle (x-2)2 + (y-3)2 5? Select one: a. (3,5) b. (5, 3)…

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Q: Find the value(s) of k such that the points (6, –1), (3, k), and (-3, –7) are vertices of a right…

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Q: Q1 a) Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and…

A: Sol

Q: DATE: NO. 1. Find the lengths of the sides of triangle ABC and state whether the triangle is a right…

A: Step 1: Step 2: Step 3: Step 4:

Q: For the Triangle shown below: Pi= (0,0,2), P2= (0,2,0), P3-(0,4,2), P4-(0,2,4), P5-(2,2,2). P4 P5 P3…

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Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…

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.