Slope of line L1 is −3−14−2=−42=2−1
Hence slope of L2 is 2.
From line L1,h−1k−2=2−1
⇒h+2k=5 …..(1)
From line L2,h−4k−3=2
⇒k=2h−5 ..…(2)
From (1) and (2) h=3 and k=1
⇒hk=31
JEE Main 2019 — Mathematics Coordinate Geometry
Suppose that the points (h,k),(1,2) and (−3,4) lie on the line L1. If a line L2 passing through the points (h,k) and (4,3) is perpendicular to L1, then hk equals:
Held on 8 Apr 2019 · Verified 6 Jul 2026.
−71
3
0
31
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