Analytic Geometry Answers

Determine the gradient of a straight line passing through the point (1,6) and (-3,-3)

A line AB passes through the point P(3,-2) with gradient -1/2, determine the equation of the line CD through P perpendicular to AB.

A line AB passes through the point P(3,-2) with gradient -1/2, determine the equation of the line CD through P perpendicular to AB.

Find the equation of the normal to the curve y = x^3 - x^2 at point (1,1)

show that the points (-1, -2),(5,4),(-3,0) are the vertices of a right triangle, and find its area.

A line AB passes through the point P(3,-2) with gradient 2, determine the equation of the line CD through P perpendicular to AB.

Find the equations of those tangent planes to the sphere x^2+y^2+Z^2+2x-4y+6z-7=0 which intersect in the line 6x-3y-23=0,3z+2=0

and

Under what conditions on α do the spheres x^2 + y^2+ z^2+x+2z+1=0 intersect each other at an angle of 45 degree ?

Obtain eqñ of parabola with focus(3,2)
Directrix 3x-4y+9=0

a) Obtain the equation of the parabola with focus )2,3( and directrix
3x − 4y + 9 =

Find the radius and the center of the circular section of the sphere jrj = 26 cut off
by the plane r
(2i+6j+3k) = 70.