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The curve C with equation ах — 5 y = х — b where a and b are integers, crosses the x-axis at the point (2.5, 0). The asymptote to C which is parallel to the y-axis has equation x = 1 (a) (i) Show that a = 2 (ii) Find the value of b. (b) Find the coordinates of the point where C crosses the y-axis. (c) Find the equation of the asymptote to C which is parallel to the x-axis. (d) Using the axes below, sketch the curve C showing clearly the asymptotes and the coordinates of th points where C crosses the coordinate axes.

The curve C with equation ах — 5 y = х — b where a and b are integers, crosses the x-axis at the point (2.5, 0). The asymptote to C which is parallel to the y-axis has equation x = 1 (a) (i) Show that a = 2 (ii) Find the value of b. (b) Find the coordinates of the point where C crosses the y-axis. (c) Find the equation of the asymptote to C which is parallel to the x-axis. (d) Using the axes below, sketch the curve C showing clearly the asymptotes and the coordinates of th points where C crosses the coordinate axes.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The curve C with equation ах — 5 y : х — Ь where a and b are integers, crosses the x-axis at the point (2.5, 0). The asymptote to C which is parallel to the y-axis has equation x = 1 (a) (i) Show that a = 2 (ii) Find the value of b. (b) Find the coordinates of the point where C crosses the y-axis. (c) Find the equation of the asymptote to C which is parallel to the x-axis. (d) Using the axes below, sketch the curve C showing clearly the asymptotes and the coordinates of tl points where C crosses the coordinate axes. ||
Transcribed Image Text:The curve C with equation ах — 5 y : х — Ь where a and b are integers, crosses the x-axis at the point (2.5, 0). The asymptote to C which is parallel to the y-axis has equation x = 1 (a) (i) Show that a = 2 (ii) Find the value of b. (b) Find the coordinates of the point where C crosses the y-axis. (c) Find the equation of the asymptote to C which is parallel to the x-axis. (d) Using the axes below, sketch the curve C showing clearly the asymptotes and the coordinates of tl points where C crosses the coordinate axes. ||
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