jee-main 2026 Q28

jee-main · India · session1_28jan_shift1 Straight Lines & Coordinate Geometry Triangle Properties and Special Points

Let side AB of an equilateral triangle ABC is given by $x + 2 \sqrt { 2 } y - 4 = 0$, where $A$ is on $x$-axis and $B$ is an $y$-axis. If origin $( 0,0 )$ is the orthocentre of the triangle ABC and vertex C is $( \alpha , \beta )$, then the value of $| \alpha - \sqrt { 2 \beta } |$ is (A) 0 (B) 2 (C) 4 (D) 6

Let side AB of an equilateral triangle ABC is given by $x + 2 \sqrt { 2 } y - 4 = 0$, where $A$ is on $x$-axis and $B$ is an $y$-axis. If origin $( 0,0 )$ is the orthocentre of the triangle ABC and vertex C is $( \alpha , \beta )$, then the value of $| \alpha - \sqrt { 2 \beta } |$ is
(A) 0
(B) 2
(C) 4
(D) 6

Paper Questions

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