Number of points with integral co-ordinates that lie inside a triangle whose co-ordinates are (0, 0), (0, 21) and (21,0).

Find the equation of the tangent at the specified points to each of the following curves. the parabola y^(2)=36x at point whose ordinate is three times the abscissa

Draw the graph of the following simultaneous linear equations and determine the co-ordinates of the point of intersection of each of them. Also, find their solutions : (i) 3x-y=5,4x+3y=11

Draw the graph of the following simultaneous linear equations and determine the co-ordinates of the point of intersection of each of them. Also, find their solutions : (ii) 2x+3y=12,2x=3y .

(b) Determine the co-ordinates of the point on the straight line 11x-7y+10=0 whose ordinate is 3 times of its abscissa.

(b) Find the Cartesian co-ordinates of a point whose polar co-ordinates are (sqrt2,(5pi)/(4)) .

(xiv) Determine the polar co-ordinates of the point whose Cartesian co-ordinates are (1,1) .

(xv) Determine the Cartesian co-ordinates of the point whose polar co-ordinates are (sqrt2,(pi)/(3)) .

Find the cartesian co-ordinates of the points whose polar co-ordinates are (3,pi/2)

Find the cartesian co-ordinates of the points whose polar co-ordinates are (1,pi)