Let circumcentre of a triangle ABC be `c(0,0) `and orthocenter of triangles `OBC,OCA and OAB` are A,B and C respectively If `CA=3/2` and area of `DeltaABC=(asqrt3)/b` (where a, bare respectively prime numbers), then find the value of `(a-5b)`.

In the right-angled triangle ABC,angleABC=90^(@). If the coordinates of A and C be (0,4) and (3,0) respectively then the area of the DeltaABC is

O is the circumcentre of the triangle ABC and R_(1), R_(2), R_(3) are the radii of the circumcircles of the triangles OBC, OCA and OAB respectively, then a/R_(1) + b/R_(2) + c/R_(3) is equal to

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

Let the incircle of a Delta ABC touches sides BC, CA and AB at D,E and F, respectively. Let area of Delta ABC be Delta and thatof DEF be Delta' . If a, b and c are side of Detla ABC , then the value of abc(a+b+c)(Delta')/(Delta^(3)) is (a) 1 (b) 2 (c) 3 (d) 4

O is the circumcentre of the triangle ABC and R_(1),R_(2),R_(3) are the radii of the circumcirclesof the triangles OBC,OCA and OAB respectively,then (a)/(R_(1))+(b)/(R_(2))+(c)/(R_(3)), is equal to

Let the incircle of a Delta ABC touches sides BC, CA and AB at D,E and F, respectively. Let area of Delta ABC be Delta and thatof DEF be Delta' . If a, b and c are side of Dela ABC , then the value of abc(a+b+c)(Delta')/(Delta^(3)) is