Maths

posted by .

In an orthonormal system, you're given the following: Point P(1,2)
Lina a=cartesian eqn:4x-3y+6=0
Line b=parametric eqns:x=-5+3&
y=-& (real n°)
Circle z=cartesian eqn:x²+y²-2x-3=0

(a)Calculate the angle between lines a an b

(b)Calculate the coordinates of the point of intersection of lines a and b

(c)Calculate the distance from P to line b

(d)Find the centre C and the radius r of circle z

(e)Calculate the cartesian eqn of the tangent t to the circle z at the point T(-3/5,6/5) Show that this tangent is line a

(f)M,P,N are,respectively,the points on t and z having the same x coordinates as C. Show that MT²=MP*MN

PLEASE HELP!!!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    This question makes reference to an orthonormal basis (i,j), and an origin O. 1. Consider the triangle ABC, with vertices A(0,-2), B(9,1), C(-1,11). Find: a) a cartesian equation of the altitude from C; b) a cartesian equation of the …
  2. Mathematics

    In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate …
  3. Maths - Polar Coordinate Systems

    I've received an assignment to investigate the polar coordinate system compared to the cartesian one. Theres a question that asks you to investigate into how to convert polar coordinates into cartesian. From my text book, I know in …
  4. maths - geometry

    In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections?
  5. maths --plse help me..

    how to find the cartesian eqn of plane passing through A(0,0,0) and B(3,-1,2) and parellel to line (x-4)/1 = (y+3)/-4 = (z+1)/7 basically how to find a plane parallel to a given line?
  6. Algebra 1

    1.To solve the linear system below, which substitution of unkowns is proper ?
  7. Algebra 1

    1. How many solutions does the linear system have ?
  8. algebra 1,urgent

    the expression (4x^2-3x+1)-(x^3+2x+7) what is the coefficient of the x term in the simplified expression?
  9. Maths

    In polar coordinates, the parametric equations x=6+cos(f) and y=sin(f) represent a circle C1. In Cartesian coordinates, there is a circle C2 that is externally tangent to C1, tangent to the y-axis, and centered at (10,sqrt2). What …
  10. Math

    Why is the Cartesian System unique? The Cartesian System is unique because you can specify any point uniquely in a two or three dimensional space by using two or three Cartesian coordinates

More Similar Questions