JB Coordinate Geometry

Question 1

distance between (x1,y1) & (x2,y2)

Answer 1

√ [ (x1-x2)^2 + (y1-y2)^2 ]

Question 2

mid-point between (x1,y1) & (x2,y2)

Answer 2

(x1+x2)/2 , (y1+y2)/2

Question 3

slope of line through points (x1,y1) & (x2,y2)

Answer 3

m = (y2-y1)/(x2-x1)

Question 4

line is ascending. slope=?

Answer 4

+ve

Question 5

line is descending. slope=?

Answer 5

-ve

Question 6

line is parallel to x-axis. slope=?

Answer 6

m = 0

Question 7

line is parallel to y-axis. slope = ?

Answer 7

not defined

Question 8

two lines are parallel to each other. relation between their slopes?

Answer 8

m1=m2

Question 9

two lines are perpendicular to each other. relation between their slopes?

Answer 9

m1 x m2 = -1

Question 10

m = slope of line
c = y intercept of the line
what is the equation of the line?

Answer 10

y = mx + c

Question 11

equation of line parallel to x axis

Answer 11

y = c

Question 12

equation of line parallel to y axis

Answer 12

x = k

Question 13

Mirror across Y axis for (x,y)

Answer 13

(-x,y)

Question 14

Mirror across X axis for (x,y)

Answer 14

(x,-y)

Question 15

Mirror across Y=X for (x,y)

Answer 15

(y,x)

Question 16

Mirror across Y= -X

Answer 16

(-y,-x)

Question 17

Parabola equation

Answer 17

y = ax^2 +ax + c

Question 18

In y = Ax^2 + C, If a =+ve

Answer 18

Upward facing

Question 19

In y = Ax^2 + C, If a =-ve

Answer 19

Downward facing

Question 20

Eqn of circle

Answer 20

X^2 + Y^2 = R^2