MEI C1 Study Resources Core1 Co-ordinate Geometry 2 Curves by Roger Porkess

By Roger Porkess

Show description

Read or Download MEI C1 Study Resources Core1 Co-ordinate Geometry 2 Curves And Circles PDF

Best geometry books

Geometry for the Classroom

Meant to be used in university classes for potential or in-service secondary tuition academics of geometry. Designed to provide academics extensive instruction within the content material of undemanding geometry in addition to heavily comparable subject matters of a marginally extra complex nature. The presentation and the modular layout are designed to include a versatile method for the educating of geometry, person who will be tailored to diversified school room settings.

Basic noncommutative geometry

"Basic Noncommutative Geometry offers an advent to noncommutative geometry and a few of its purposes. The e-book can be utilized both as a textbook for a graduate path at the topic or for self-study. it will likely be worthwhile for graduate scholars and researchers in arithmetic and theoretical physics and all those who find themselves drawn to gaining an knowing of the topic.

Advances in Architectural Geometry 2014

This e-book comprises 24 technical papers awarded on the fourth version of the Advances in Architectural Geometry convention, AAG 2014, held in London, England, September 2014. It bargains engineers, mathematicians, designers, and contractors perception into the effective layout, research, and manufacture of complicated shapes, in an effort to aid open up new horizons for structure.

Extra info for MEI C1 Study Resources Core1 Co-ordinate Geometry 2 Curves And Circles

Sample text

AB is the diameter of a circle. A is (1, 3) and B is (7, -1). [2] (i) Find the coordinates of the centre C of the circle. [2] (ii) Find the radius of the circle. [2] (iii) Find the equation of the circle. (iv) The line y + 5x = 8 cuts the circle at A and again at a second point D. Calculate the coordinates of D. [4] [3] (v) Prove that the line AB is perpendicular to the line CD.

3] (vi) Calculate the area of the quadrilateral PQRS. 8. AB is the diameter of a circle. A is (1, 3) and B is (7, -1). [2] (i) Find the coordinates of the centre C of the circle. [2] (ii) Find the radius of the circle. [2] (iii) Find the equation of the circle. (iv) The line y + 5x = 8 cuts the circle at A and again at a second point D. Calculate the coordinates of D. [4] [3] (v) Prove that the line AB is perpendicular to the line CD.

Show that the line y = 3x – 10 is a tangent to the circle x 2 + y 2 = 10 . [4] 5. The line y = 2 x − 3 meets the x-axis at the point P, and the line 3 y + 4 x = 8 meets the x-axis at the point Q. The two lines intersect at the point R. (i) Find the coordinates of R. [4] (ii) Find the area of triangle PQR. [3] 6. The equation of a circle is x 2 + y 2 − 4 x + 2 y = 15 (i) Find the coordinates of the centre C of the circle, and the radius of the circle. (ii) Show that the point P (4, -5) lies on the circle.

Download PDF sample

Rated 4.83 of 5 – based on 4 votes