Study

Coordinate geometry_everything

  •   0%
  •  0     0     0

  • What is the equation of the circle whose centre is (2;3) and radius is 7?
    (x-2)^2+(y-3)^2=49
  • What is the normal vector of 3x-5y=13?
    (3;-5)
  • What is the magnitude of vector(48;55)?
    73
  • What is the equation of the circle on the picture?
    (x-2)^2+(y-3)^2=25
  • What is the distance between (10;-7) and (-2;28)?
    37
  • What is the sum of these vectors?
    (4;1)
  • What is the magnitude of this vector?
    5
  • What is the difference of the red vector and the blue vector?
    (4;5)
  • What is the slope of 3x-5y=13?
    3/5
  • What is the scalar product of these vectors?
    4*(-2)+1(-2)=-10
  • What is the slope of 6x+7=y?
    6
  • What is the equation of this line?
    y=3/2x+5
  • what is the equation of the perpendicular bisector of (0;0) and (4;5)?
    4x+5y=20.5
  • Where does the line x=4 intersect this circle?
    at (4;4)
  • What is a normal vector of 3x=-6y+13?
    (3;6)
  • Give a perpendicular line to 4x+6y=14.
    6x-4y=c
  • Give the line through point (4;5) with normal vector (6;7).
    6x+7y=59
  • Give the line through points (4;5) and (6;7).
    (7-5)(x-4)=(6-4)(y-5) vagy: 2x-2y=-2
  • What is the midpoint of (2;31) and (12;19)?
    (7;25)
  • Give a point on line 2x+5y=22
    e.g.: (1;4)
  • Give the line through point (4;5) with directional vector (6;7).
    7(x-4)=6(y-5), 7x-6y=-2
  • What is the midpoint of (-2;3) and (12;19)?
    (5;11)
  • What are the coordinates of this vector?
  • Give the line through point (-4;2) with normal vector (3;6).
    3x+6y=0
  • What is the distance between (-2;3) and (11;87)?
    85
  • What is the magnitude of vector (11;60)?
    61
  • Give the line through point (2;1) with directional vector (9;5).
    5(x-2)=9(y-1), 5x-9y=1
  • Give the line through points (1;2) and (5;3).
    (3-2)(x-1)=(5-1)(y-2) 3x-4y=-7
  • Give a parallel line to 4x+6y=14.
    4x+6y=c
  • What is the equation of the circle whose centre is (-2;5) and radius is 10?
    (x+2)^2+(y-5)^2=100