JEE Novice - (30)

Geometry Level 3

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

This question is a part of JEE Novices .


The answer is 15.

Nihar Mahajan by Nihar Mahajan , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Tanishq Varshney
May 28, 2015

Orthocenter is O ( 0 , 0 ) O(0,0) and circumcenter is mid point of hypotenuse as Δ O A B \Delta OAB is right triangle. let C C be the circumcenter so C ( 1 , 3 2 ) C(1,\frac{3}{2})

O C = 1 + 9 4 OC=\sqrt{1+\frac{9}{4}}

O C = 13 2 \huge{\boxed{OC=\frac{\sqrt{13}}{2}}}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...