Co-ordinate Geometry (plane and Solid) for Beginners |
Common terms and phrases
AA¹ abscissa angular points asymptotes auxiliary circle ax+by+c=0 bisector bisects centre chord conic constant curve cuts the axes direction cosines directrix draw eccentricity ellipse equal EXAMPLES feet Find the angle Find the co-ordinates Find the distance Find the equation Find the length Find the locus fixed points foci focus given line gradient graph inches intercepts Latus Rectum line drawn line joining line parallel major axis mid-point negative ordinate origin parabola y²=4ax parallel to OX passes pendicular perpendicular form plane XOY Plot point of intersection point P moves position projection Prove radius rectangular hyperbola represents required equation right angles rough graphs sides Similarly square straight line tangent triangle Va²+b² vertex vertical x₁₁ x²+y²=a² y=mx+b y=x² y₁ zero бу бх
Popular passages
Page 101 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Page 82 - A conic section is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line.
Page 159 - Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle.
Page 81 - Find the locus of a point such that the square of its distance from the origin is equal to its distance from the X axis multiplied by a constant k.
Page 119 - To find the locus of the point of intersection of two tangents to an ellipse which are at right angles to one another. The line Whose equation is y = mx + Ja'm' + 63 ................ (i) will touch the ellipse, whatever the value of m may be.
Page 124 - The locus of the mid-points of a system of parallel chords of a conic is called a diameter of the conic.
Page 145 - Find the equation of the circle which has its centre at the point (1, - 2) and touches the line x + у + 5 = 0 Ans.
Page 65 - Find the equation of the locus of a point whose distance from the point (0, 0, 3) is twice its distance from the .ХУ-plane and discuss the locus.
Page 196 - Find the equations of the locus of a point which is equidistant from the points (2, 3, 7), (3, -4, 6), (4, 3, -2).