P(x1, y1, z1) and Q(x2, y2, z2)
PQ = √(x2– x1)^2+ (y2 – y1)^2 + (z2 – z1)^2
X- axis
i^
Y-axis
j^
Z-axis
k^
tanθ(m)
y2-y1/x2-x1 (or) Δy/Δx
Equation for straight line
y=mx
Equation for straight line passing through origin
y=mx+c
Straight line parallel to y axis
∞
Straight line parallel to x axis
0
Equation of the circle
x^2/a^2+ y^2/a^2 =1
Standard Equations of Ellipses
x^2/b^2 + y^2/a^2 = 1
Area of ellipse
πab
equation for parabola(Upward)
y=ax^2
equation for parabol ( Downward)
y=-kx^2
The trajectory of a projectile in a vertical plane is given by
y=ax−bx^2
Eclipse graph( left)
y^2=kx
Eclipse graph( right)
y^2= -kx