Fill in the blanks:
The points on the line `x + y = 4 `and which are at a unit distance from the line `4x + 3y = 10` are………..

The number of points on the line x + y = 4, which are unit distance apart from the line 2x + 2y = 5 is:

The absolute value of the sum of the abscissas of all the points on the line x+y=4 that lie at a unit distance from the line 4x+3y-10=0 is___________

Find the coordinates of the those point on the line 3x+ 2y = 5 which are equisdistant from the lines 4x+ 3y - 7 = 0 and 2y - 5 = 0

The coordinate of the point on the curve x^(2)=4y which is atleast distance from the line y=x-4 is

The co-ordinates of a point on the line y = x where perpendicular distance from the line 3x + 4y = 12 is 4 units, are :

The y-intercept of the line 2x+3y=4 is

Fill in the blanks: The tangent to the curve y = x^3 at the point (4,8) is ______.

Find the equation of tangent to the curve : x^2 + 3y = 3 at which tangent line is parallel to the line y - 4x + 5 = 0 .

Fill in the blanks The are bounded by the axes and the line y= x+1 is………. .

Find the coordinates of the point at unit distance from the lines 3x-4y + 1 = 0, 8x +6y +1 = 0