If `l(x)=4 x+1` then `l(-6) - l(-5)` is..............`

Let L be a normal to the parabola y^(2)=4x. If L passes through the point (9,6) then L is given by

If l^r(x) means logloglog.......x being repeated r times, then int [ (x l(x) l^2(x) l^3(x) .... l^r (x)]^(-1) dx is equal to :

If x=4(l)/(1+l^(2)) and y=(2-2l^(2))/(1+l^(2)) wherel' is a parameter and range of f(x,y)=x^(2)-xy+y^(2) is[a,b ] then (a+b) is equal to

Let the lines l_(1) and l_(2) be normals to y^(2)=4x and tangents to x^(2)=-12y (where l_(1) and l_(2) are not x - axis). The absolute value of the difference of slopes of l_(1) and l_(2) is

Let the lines l_(1) and l_(2) be normals to y^(2)=4x and tangents to x^(2)=-12y (where l_(1) and l_(2) are not x - axis). The absolute value of the difference of slopes of l_(1) and l_(2) is

Let lim_(x to 0) ("sin" 2X)/(tan ((x)/(2))) = L, and lim_(x to 0) (e^(2x) - 1)/(x) = L_(2) then the value of L_(1)L_(2) is

Let lim_(x to 0) ("sin" 2X)/(tan ((x)/(2))) = L, and lim_(x to 0) (e^(2x) - 1)/(x) = L_(2) then the value of L_(1)L_(2) is

If |x-a| lt l_(1) and |x-b| lt l_(2) , show that |a-b| lt l_(1) + l_(2) .