{"id":12645,"date":"2024-03-04T11:56:39","date_gmt":"2024-03-04T06:26:39","guid":{"rendered":"https:\/\/tsboardsolutions.in\/?p=12645"},"modified":"2024-03-05T14:22:18","modified_gmt":"2024-03-05T08:52:18","slug":"ts-10th-class-maths-notes-chapter-7","status":"publish","type":"post","link":"https:\/\/tsboardsolutions.in\/ts-10th-class-maths-notes-chapter-7\/","title":{"rendered":"TS 10th Class Maths Notes Chapter 7 Coordinate Geometry"},"content":{"rendered":"
We are offering TS 10th Class Maths Notes<\/a> Chapter 7 Coordinate Geometry to learn maths more effectively.<\/p>\n \u2192 A French mathematician Rene Descartes (1596 – 1650) has developed the study of Co-ordinate Geometry.<\/p>\n \u2192 The cartesian plane is also called co-ordinate plane or xy plane.<\/p>\n \u2192 The X-co-ordinate is called the Abscissa and the y-co-ordinate is called the ordinate.<\/p>\n \u2192 The intersection of x-axis and y-axis is called the origin. The co-ordinates of origin = 0 (0, 0).<\/p>\n \u2192 Area of Rhombus = \\(\\frac{1}{2}\\) \u00d7 product of its diagonals.<\/p>\n \u2192 Area of a triangle = \\(\\frac{1}{2}\\) \u00d7 base \u00d7 height.<\/p>\n \u2192 The distance between two points P(x1<\/sub>, y1<\/sub>) and Q(x2<\/sub>, y2<\/sub>) is \\(\\sqrt{\\left(x_2-x_1\\right)^2+\\left(y_2-y_1\\right)^2}\\)<\/p>\n \u2192 The distance of a point (x, y) from the origin is \\(\\)<\/p>\n \u2192 The distance between two points (x1<\/sub>, y1<\/sub>) and (x2<\/sub>, y2<\/sub>) on a line parallel to Y – axis is |y2<\/sub> – y1<\/sub>|.<\/p>\n \u2192 The distance between two points (x1<\/sub>, y1<\/sub>) and (x2<\/sub>, y2<\/sub>) on a line parallel to X-axis is |x2<\/sub> – x1<\/sub>|.<\/p>\n \u2192 The co-ordinates of the point P(x, y) which divides the line segment joining the points A(x1<\/sub>, y1<\/sub>) and B(x2<\/sub>, y2<\/sub>) internally in the ratio m1<\/sub> : m2<\/sub> are <\/p>\n \u2192 The midpoint of the line segment joining the points P(x1<\/sub>, y1<\/sub>) and Q(x2<\/sub>, y2<\/sub>) is \u2192 The point of intersection of the medians of a triangle is called the centroid. It is usually denoted by G. it divides each median in the ratio 2 :1.<\/p>\n \u2192 The vertices of \u0394ABC are A(x1<\/sub>, y1<\/sub>), B(x2<\/sub>, y2<\/sub>) and C(x3<\/sub>, y3<\/sub>), then the co-ordinates of the centroid of the \u0394ABC is \\(\\left[\\frac{x_1+x_2+x_3}{3}, \\frac{y_1+y_2+y_3}{3}\\right]\\)<\/p>\n \u2192 The area of the triangle formed by the points (x1<\/sub>, y1<\/sub>) (x2<\/sub>, y2<\/sub>) and (x3<\/sub>, y3<\/sub>) is the numerical value of the expression \u2192 Area of a triangle formula or Heron’s Formula A = \\(\\sqrt{s(s-a)(s-b)(s-c)}\\) \u2192 Slope of the line (m) = \\(\\frac{y_2-y_1}{x_2-x_1}\\)<\/p>\n Important Formula:<\/p>\n Flow Chat: <\/p>\n Rene Descartes (1596 – 1650):<\/p>\n We are offering TS 10th Class Maths Notes Chapter 7 Coordinate Geometry to learn maths more effectively. TS 10th Class Maths Notes Chapter 7 Coordinate Geometry \u2192 A French mathematician Rene Descartes (1596 – 1650) has developed the study of Co-ordinate Geometry. \u2192 The cartesian plane is also called co-ordinate plane or xy plane. \u2192 … Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/12645"}],"collection":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/comments?post=12645"}],"version-history":[{"count":3,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/12645\/revisions"}],"predecessor-version":[{"id":12654,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/12645\/revisions\/12654"}],"wp:attachment":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/media?parent=12645"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/categories?post=12645"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/tags?post=12645"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}TS 10th Class Maths Notes Chapter 7 Coordinate Geometry<\/h2>\n
\n\\(\\left[\\frac{m_1 x_2+m_2 x_1}{m_1+m_2}, \\frac{m_1 y_2+m_2 y_1}{m_1+m_2}\\right]\\)<\/p>\n
\n\\(\\left(\\frac{x_1+x_2}{2}, \\frac{y_1+y_2}{2}\\right)\\)<\/p>\n
\n\\(\\frac{1}{2}\\)|x1<\/sub>(y2<\/sub> – y3<\/sub>) + x2<\/sub>(y3<\/sub> – y1<\/sub>) + x3<\/sub>(y1<\/sub> – y2<\/sub>)|.<\/p>\n
\nS = \\(\\frac{a+b+c}{2}\\)<\/p>\n\n
\n<\/p>\n\n