A family of linear functions is given by `f(x) = 1 + c(x + 3)` where `c in R`. If a member of this family meets a unit circle centred at origin in two coincident points then 'c' can be equal to

A family of linear function is given by f(x)=1+c(x+3), where c in R. If a member of this family meets a unit circle centred at origin at two coincident points,then can be equal to

Consider a family of lines (4a+3)x-(a+1)y-(2a+1)=0 where a in R a member of this family with positive gradient making an angle of 45 with the line 3x-4y=2 , is

Consider a family of lines (4a+3)x-(a+1)y-(2a+1)=0 where a in R a member of this family with positive gradient making an angle of 45with the line 3x-4y=2, is

The equation of family of circles with centre at (h, k) touching the x-axis is given by

Statement-1: If limiting points of a family of co-axial system of circles are (1, 1) and (3, 3), then 2x^(2)+2y^(2)-3x-3y=0 is a member of this family passing through the origin. Statement-2: Limiting points of a family of coaxial circles are the centres of the circles with zero radius.

Statement-1: If limiting points of a family of co-axial system of circles are (1, 1) and (3, 3), then 2x^(2)+2y^(2)-3x-3y=0 is a member of this family passing through the origin. Statement-2: Limiting points of a family of coaxial circles are the centres of the circles with zero radius.

f(x) is linear function of the type mx + c and f(-1) = -5 and f(3) = 3 then values of m and c are ….and ….. .

The D.E. of the family of circles touching X-axis at (0,0) is (or) The D.E. of the family of circles passing through the origin and having their centre on Y-axis is