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COORDINATE GEOMETRY: CIRCLES ©MathsDIY.com Page 1 of 4 COORDINATE GEOMETRY: CIRCLES AS Unit 1: Pure Mathematics A WJEC past paper questions: 2010 – 2017 Total marks available 126 (approximately 2 hours 30 minutes) 1. The circle C has centre A and equation 2+ 2+4 −8 +10=0. a) Find the coordinates of A and the radius of C. (3)
A circle 1 has centre (0, 0) and diameter 8 units. (a) Show 1 on a co-ordinate diagram. (b) Find the equation of 1. (c) Prove that the point (3, 2) is inside 1 and that the point (3, 3) is outside it. (d) Another circle, 2, has centre (0, 1) and just touches the circle 1. Show on your diagram in part
15 The points P (22, 15), Q (−13, c) and R (k, 24) all lie on a circle, centre (2, 0). Find the radius of the circle and the possible values of the constants c and k. 16 The points A (−2, 7) and B (6, −3) lie at either end of the diameter of a circle. Find the area of the circle, giving your answer as an exact multiple of π.
The formulas of coordinate geometry help in conveniently proving the various properties of lines and figures represented in the coordinate axes. The formulas of coordinate geometry are the distance formula, slope formula, midpoint formula, section formula, and the equation of a line.
Find the coordinates of C and the radius of the circle. ii. Verify that the point (7, −2) lies on the circumference of the circle. iii. Find the equation of the tangent to the circle at the point (7, −2), giving your answer in the form ax + by + c = 0, where a, b and c are integers. circle C has equation x2 + y2 + 8y − 24 = 0.
1st grade geometry worksheets enable kids to learn and identify two-dimensional geometric shapes like circles, squares, rectangles, ovals, and spheres, etc. Geometry is an important topic in the elementary school curriculum.
To define a circle on the coordinate plane, we must know the coordinates of the centre and the length of the radius. The equation of a circle is a rule satisfied by the coordinates ( , ) of any point that lies on the circumference. Points that do not lie on the circle will not satisfy the equation.
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σχετικά με: coordinate geometry formulas circles pdf worksheet 1 grade mathGet thousands of teacher-crafted activities that sync up with the school year. Access the most comprehensive library of K-8 resources for learning at school and at home.
