Let λ1 be the area of the region on the plane bounded by max(|x|,|y|)≤1 and xy≤12, and λ2 be the length of y−intercept of the plane which is passing through the intersection of the planes x+2y+3z+5=0 and 2x−3y+7z+1=0 and is parallel to the line →r=→i+2^j+t(8^i−7^j−4^k), where t∈R. Then [λ1]+[λ2] equals([.] denotes the greatest integer function)

Let λ1 be the area of the region on the plane bounded by max(|x|,|y|)

1.	Let λ1 be the area of the region on the plane bounded by max(\|x\|,\|y\|)≤1 and xy≤12, and λ2 be the length of y−intercept of the plane which is passing through the intersection of the planes x+2y+3z+5=0 and 2x−3y+7z+1=0 and is parallel to the line →r=→i+2^j+t(8^i−7^j−4^k), where t∈R. Then [λ1]+[λ2] equals([.] denotes the greatest integer function)
Answer» Let $λ_{1}$ be the area of the region on the plane bounded by $max (\| x \|, \| y \|) \leq 1$ and $x y \leq \frac{1}{2},$ and $λ_{2}$ be the length of $y -$ intercept of the plane which is passing through the intersection of the planes $x + 2 y + 3 z + 5 = 0$ and $2 x - 3 y + 7 z + 1 = 0$ and is parallel to the line $\to r = \to i + 2^j + t (8^i - 7^j - 4^k),$ where $t \in R .$ Then $[λ_{1}] + [λ_{2}]$ equals ( $[.]$ denotes the greatest integer function)