`{:(2x - 3y - 5 = 0),(kx - 6y - 8 = 0):}`

The orthocentre of the triangle formed by the lines x - 7y + 6 = 0, 2x - 5y - 6 = 0 and 7x + y - 8 = 0 is

If 2kx + 3y - 1 = 0 , 2x + y + 5 = 0 are conjugate lines with respect to the circle x^(2) +y^(2) - 2x - 4y - 4 = 0 , t hen k =

For what value of k is the circle x^2 + y^2 + 5x + 3y + 7 = 0 and x^2 + y^2 - 8x + 6y + k = 0 cut each other orthogonally.

Find the value of k if kx+ 3y - 1 = 0, 2x + y + 5 = 0 are conjugate lines with respect to the circle x^(2) + y^(2) - 2x - 4y - 4 =0 .

Find the value of k if kx+ 3y - 1 = 0, 2x + y + 5 = 0 are conjugate lines with respect to the circle x^(2) + y^(2) - 2x - 4y - 4 =0 .

For what values of k is the system of equations 2k^2x + 3y - 1 = 0, 7x-2y+ 3 - 0, 6kx + y+1=0 consistent?

The line 3x + 2y = 6 will divide the quadrilateral formed y the lines x + y = 5, y – 2x = 8, 3y + 2x = 0 & 4y – x = 0 in

For the circles x^2 + y^2 - 2x + 3y + k = 0 and x^2 + y^2 + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

The number of equation 2x+3y=8, 7x-5y+3=0 , 4x - 6y +lamda =0 is solvable if lamda is :