/Tag: Locus
11 09, 2016

Circles & Lines

By |2016-11-03T14:32:29+10:00September 11th, 2016|Tags: , , , |0 Comments

Circles & Lines Perpendicular distance = radius, then tangent Perpendicular distance < radius, line intersects circle at 2 points Perpendicular distance > radius, line does not intersect with the circle   x2 + y2 = r2    Circle centre (0, 0) radius = r units (x - a)2 + [...]

12 08, 2015

Challenging Locus

By |2017-09-14T21:56:10+10:00August 12th, 2015|Tags: , , |0 Comments

Challenging Locus Describe the locus of a point moving so that it is equidistant from two fixed points on the number plane. Let the two fixed points be A(x1, y1) and B(x2, y2) and P(x, y). PA = PB $$\sqrt {{{(x - {x_1})}^2} + {{(y - {y_1})}^2}}  = \sqrt [...]

12 08, 2015

Exam Style Questions

By |2016-11-03T13:57:07+10:00August 12th, 2015|Tags: , , |0 Comments

Exam Style Questions Find the equation of through locus of a point P, which is equidistant from fixed points A(3, 5) and B(-1, 2). Show that the locus is the perpendicular bisector of the line AB. PA = PB $$\sqrt{{{(x – 3)}^2}+{{(y – 5)}^2}}=2\sqrt {{{(x + 1)}^2}+{{(y – 2)}^2}}$$ x2 - 6x [...]

12 08, 2015

Equation of a Parabola

By |2016-11-03T14:30:30+10:00August 12th, 2015|Tags: , , |0 Comments

Equation of a Parabola General Equation of a Parabola: ax2 + bx + c = 0 x2 = 4ay is the equation of a parabola with the vertex at the origin, and the y-axis (x = 0) as the axis of symmetry. a is the focal length of the parabola. That [...]

12 08, 2015

Tangents To Circle

By |2016-10-21T13:17:30+10:00August 12th, 2015|Tags: , , , |0 Comments

Tangents To Circle If perpendicular distance from centre < r - no intersection If perpendicular distance from centre = r - tangemt If perpendicular distance from centre > r - two points of intersection worked examples   tr_ap_97, q4a Show the line 4x + 3y + 10 = 0 is a [...]

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