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Straight Lines and Pair of Straight Lines question

2014 · Shift 1 · Q25

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PYQ Library
JEE Advanced
Mathematics
Straight Lines and Pair of Straight Lines
2014 · Shift 1 · Q25

Straight Lines and Pair of Straight Lines question

2014 · Shift 1 · Q25

JEE AdvancedMathematicsStraight Lines and Pair of Straight LinesNumerical+3 / −1

For a point

P

in the plane, Let

{d_1}\left( P \right)

and

{d_2}\left( P \right)

be the distance of the point

P

from the lines

x - y = 0

and

x + y = 0

respectively. The area of the region

R

consisting of all points

P

lying in the first quadrant of the plane and satisfying

2 \le {d_1}\left( P \right) + {d_2}\left( P \right) \le 4

, is

Numerical answer

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