Number of point of discontinity point in interval

If f(x)=[(8^(1/x),x = 0)], where [.] denotes the greatest integer function. Then f(x) (A) continous only at finite number of points (B) discontinous at finite number of points (C) discontinous at infinite number of points (D) discontinous at x=0

If there are nine straight lines of which five are concurrent at a point and the other four are concurrent at another point and no two of these nine lines are parallel, then the number of points of intersection is equal to

f(x)=min{x-[x] ,1+[x] -x} x lies in [0,3] , p is the number of points where it is discontinous q is the numbers of points where it is not differentiable . then find the value of p+q

The number of points of non - differentiabil ity for the function f(x)=|x|+|cos x|+tan(x+(pi)/(4)) in the interval (-1,2) is

The number of point requdistant to three given distinct non-colliear points, is

There are five points in a plane. From each point, perpendicular are drawn to the lines joining the other points. What is the maximum numbers of points of intersection of these perpendiculars.

The number of rational numbers lying in the interval (2002,2003) all whose digits after the decimal point are non-zero and ae in decreasing order are

[" Numbers of points in the interval "[0,pi]" where "f(x)=[2cos x]" is "],[" discontinuous is (where "[.]" represent greatest integer "],[" function) "]