SpletShow that the line \ (y = 2x + 1\) intersects the circle \ ( {x^2} + {y^2} - 6x - 7y + 9 = 0\) and determine the points of intersection. Reveal answer Question Show that the line \ (3y = 2x -... SpletIntersection of a line and circle There are three ways a line and a circle can be associated, ie the line cuts the circle at two distinct points, the line is a tangent to the circle...
Chapter 5: Straight Line - Shaalaa.com
SpletUsing the Distance Formula , the shortest distance between the point and the circle is ( x 1) 2 + ( y 1) 2 − r . Note that the formula works whether P is inside or outside the circle. If the circle is not centered at the origin but has a center say ( h, k) and a radius r , the shortest distance between the point P ( x 1, y 1) and the ... Splet24. jan. 2024 · The line \ (3x – 2y = k\) meets the circle \ ( {x^2} + {y^2} = 4 {r^2}\) at only point, if \ ( {k^2}=\) Ans: Given: Equation of the line is \ (3x – 2y = k\) circle is \ ( {x^2} + … greers whitetop mountain cabin
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Splet12. jul. 2024 · The line 3x + 6y = k intersects the curve 2x2 + 2xy + 3y2 = 1 at points A and B. ... If the straight lines joining the origin and the points of intersection ofthe curve `5x^2 + 1 … SpletExample 7: The line 3x + 2y = 24 meets y-axis at A and x-axis at B. The perpendicular bisector of AB meets the line through (0,−1) parallel to the x-axis at C. The area of the triangle ABC is A) 182sq.units B) 91sq.units C) 48sq.units D) None of these Solution: The coordinates of A and B are (0, 12) and (8, 0) respectively. SpletŘešte matematické úlohy pomocí naší bezplatné aplikace s podrobnými řešeními. Math Solver podporuje základní matematiku, aritmetiku, algebru, trigonometrii, kalkulus a další oblasti. greer tank anch