3) ` (2x-y)+ i(3x+2y+1)=0`

The total number of matrices A = [{:(0, 2y, 1), (2x, y, -1), (2x, -y, ):}] (x, y in R, x ne y) " for which "A^(T)A = 3I_(3) is

Determine whether the following represents a circle , a point or no circle : (i) 1- x^(2) - y^(2) = 0 (ii) x^(2) + y^(2) + 2x + 1 = 0 (iii) x^(2) + y^(2) - 3x + 3y + 10 = 0 .

The equation of the line joining through the points of intersection of lines 2x - y + 3 = 0 and 3x + y + 7 = 0 and perpendicular to 2x - 3y + 4 = 0 , is "________" . (a) 3x + 2y - 7 0 " " (b) 3x + 2y + 8 = 0 " " (c) 3x + 2y - 8 = 0 " " (d) 3x - 2y + 1 = 0

( 1 ) /( 2x ) + (1 ) /( 3y ) = 2, (1) /( 3x ) + (1) /( 2y ) = ( 13) /( 6) ( x ne 0 , y ne 0 )

Solve for x and y: 2x + 3y + 1 = 0, 3x + 2y - 11 = 0

The tangent from the point of intersection of the lines 2x – 3y + 1 = 0 and 3x – 2y –1 = 0 to the circle x^(2) + y^(2) + 2x – 4y = 0 is

If the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) be collinear, show that: (y_2 - y_3)/(x_2 x_3) + (y_3 - y_1)/(x_3 x_2) + (y_1 - y_2)/(x_1 x_2) = 0

(2x -2y+3) dx -(x-y+1) dy=0 , " when" x=0, y=1