Consider the chord that joins . A circle is formed such that where its circumference bisects this chord, it is at a normal to the chord and such that twice the measure of its radius is the same length of the chord. Find the equation of the circle/s. Find the equation of the circle that contains the points , and whose centre lies on the function . Determine the equation of the circle given the following conditions: The gradient of the tangent to the circle where is ; the gradient of the tangent where is . You are also advised that the gradient of the circumference of the circle where the is 0. *** No need for equations or differentiation, just think conceptually where the circle to be for these conditions. ‘has’ Determine the equation of the circle given the following conditions: The gradient of the circle where is and happens where . ** You will need to do some maths with this one! ** Answers: and Parabolas: Find the vertex, the focus and directrix of the following:
Consider the chord that joins . A circle is formed such that where its circumference bisects this chord, it is at a normal to the chord and such that twice the measure of its radius is the same length of the chord. Find the equation of the circle/s. Find the equation of the circle that contains the points , and whose centre lies on the function . Determine the equation of the circle given the following conditions: The gradient of the tangent to the circle where is ; the gradient of the tangent where is . You are also advised that the gradient of the circumference of the circle where the is 0. *** No need for equations or differentiation, just think conceptually where the circle ‘has’ to be for these conditions. Determine the equation of the circle given the following conditions: The gradient of the circle where is and happens where . ** You will need to do some maths with this one! ** Answers: and Parabolas: Find the vertex, the focus and directrix of the following:
12mc_conics_workbook.docx