Co–Ordinate Geometry
☼ Equation of a Circle :–
Parametric Equation of a circle with centre ( h, k) and radius = r :
x = h + r cosθ and y = k + r sinθ : Where, θ ∈ ( – π, π]
P…
☼ Concurrent lines :- If three or more distinct coplanar lines pass through a single common point, they are said to be concurrent lines and that point is called their point of concurrence.
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☼ Perpendicular Distance ( p ) :–
(i) If P (x1, y1) is a point outside a line ax + by + c = 0, then perpendicular distance from P to line is,
p = PM …
☼ Intercepts and Slope of the standard equation :–
If AB : ax + by + c = 0 intersects X – axis and Y – axis respectively at A and B, then
☼ Relation between two lines with respect to Slopes :–
Let the slopes of two distinct lines l1 and l2 are respectively m1 and m2, then if
(i) …
☼ Slope ( m ) of a line :–
If a line is perpendicular to X – axis ( or vertical ), then Slope = m = ∞
If a line is parallel to Y – axis ( or
☼ Equation of a line :–
⟶ Parametric Equation of a line :
{ (x, y) / x = tx2+ (1 – t)x1, y = ty2+ (1 – t)y1 ; t ∈ R }