Let L be the line obtained by rotating the tangent line, drawn to the parabola y=x2 at the point A(1,1) about the point A by an angle of 45∘ in the clockwise direction. Let B bet the intersection of the line L with y=x2 other than A. If the area enclosed by the line L and the parabola is K sq.unit, then [K] is equal to, ( where [⋅] denotes greatest integer function ):

Let L be the line obtained by rotating the tangent line, drawn to the

1.	Let L be the line obtained by rotating the tangent line, drawn to the parabola y=x2 at the point A(1,1) about the point A by an angle of 45∘ in the clockwise direction. Let B bet the intersection of the line L with y=x2 other than A. If the area enclosed by the line L and the parabola is K sq.unit, then [K] is equal to, ( where [⋅] denotes greatest integer function ):
Answer» Let $L$ be the line obtained by rotating the tangent line, drawn to the parabola $y = x^{2}$ at the point $A (1, 1)$ about the point $A$ by an angle of $45^{\circ}$ in the clockwise direction. Let $B$ bet the intersection of the line $L$ with $y = x^{2}$ other than $A$ . If the area enclosed by the line $L$ and the parabola is $K$ sq.unit, then $[K]$ is equal to, $($ where $[\cdot]$ denotes greatest integer function $)$ :