coordinate geometry Flashcards
1
Q
P(x1, y1, z1) and Q(x2, y2, z2)
A
PQ = √(x2– x1)^2+ (y2 – y1)^2 + (z2 – z1)^2
2
Q
X- axis
A
i^
3
Q
Y-axis
A
j^
4
Q
Z-axis
A
k^
5
Q
tanθ(m)
A
y2-y1/x2-x1 (or) Δy/Δx
6
Q
Equation for straight line
A
y=mx
7
Q
Equation for straight line passing through origin
A
y=mx+c
8
Q
Straight line parallel to y axis
A
∞
9
Q
Straight line parallel to x axis
A
0
10
Q
Equation of the circle
A
x^2/a^2+ y^2/a^2 =1
11
Q
Standard Equations of Ellipses
A
x^2/b^2 + y^2/a^2 = 1
12
Q
Area of ellipse
A
πab
13
Q
equation for parabola(Upward)
A
y=ax^2
14
Q
equation for parabol ( Downward)
A
y=-kx^2
15
Q
The trajectory of a projectile in a vertical plane is given by
A
y=ax−bx^2
