JEE Novice - (31)

Geometry Level 4

A straight line given by \(3x+2y=6\) intersects \(x\) axis and \(y\) axis at \(A,B\) respectively.If the distance between the incentre and orthocentre of \(\Delta OAB\) can be expressed in the form \(\dfrac{a\sqrt{b}}{c+\sqrt{d}}\) , find \(a+b+c+d\) where \(b,d\) are square free.

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