Find the equation of a circle which has the portion of the line `3x + 4y =14` intercepted by the lines `x-y = 0 and 11x -4y= 0` as a diameter.

Find the equation of the line Perpendicular to the line x -7y +5 = 0 and having x-intercept 4.

Find the equation of the line passing through the point of intersection of the lines 4x + 7y-3 = 0 and 2x -3y +1=0 that has equal intercepts on the axes.

Find the equation of a line through the point (-2,3) and parallel to the line 3x-4y+2=0.

Find the equation of the circle whose centre is the point of intersection of the lines 2x-3y+4=0and3x+4y-5=0 and passes through the origin.

Find the equation of the straight line which is parallel to the line 2x+3y-5=0 and has y-intercept equal to -4.

Find the equation of a line that has x-intercept 3 and perpendicular to the line x -7y + 5 = 0.

Find the equation of the straight line which passes through the intersection of the lines x-y-1=0 a n d 2x-3y+1=0 and parallel (i) x -axis (ii) y -axis (iii) 3x+4y=14.

Find the equation of the line perpendicular to the line x - 2y + 3 = 0 and having intercept 3 on x-axis.