If H is the orthocenter of `DeltaABC` and if `AH = x, BH = y, CH = z`, then `a/x+b/y+c/z=`

If H is the orthocentre of triangle ABC, R = circumradius and P = AH + BH + CH , then

If in Delta ABC , the distance of the vertices from the orthocenter are x,y, and z then prove that (a)/(x) + (b)/(y) + (c)/(z) = (abc)/(xyz)

If x,y,z are respectively perpendiculars from the circumcentre on the sides of the DeltaABC , the value of a/x+b/y+c/z-(abc)/(4xyz)=

Let ABC be an acute angled triangle with orthocenter H.D, E, and F are the feet of perpendicular from A,B, and C, respectively, on opposite sides. Also, let R be the circumradius of DeltaABC . Given AH.BH.CH = 3 and (AH)^(2) + (BH)^(2) + (CH)^(2) = 7 Then answer the following Value of R is

Let ABC be an acute angled triangle with orthocenter H.D, E, and F are the feet of perpendicular from A,B, and C, respectively, on opposite sides. Also, let R be the circumradius of DeltaABC . Given AH.BH.CH = 3 and (AH)^(2) + (BH)^(2) + (CH)^(2) = 7 Then answer the following Value of (cos A. cos B . cos C)/(cos^(2)A + cos^(2)B + cos^(2)C) is

If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b ,c-z],[ a-x, b-y, c]|=0, then the value of the expression a/x+b/y+c/z is a. 0 b. -1 c. 1 d. 2

If x,y and z are in A.P ax,by and cz in G.P and a, b, c in H.P then prove that x/z+z/x=a/c+c/a

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals

In Fig.71, if A B C D , then the values of x ,\ y\ a n d\ z are x=56 ,\ y=47 ,\ z=77 (b) x=47 ,\ y=56 ,\ z=77 x=77 ,\ y=56 ,\ z=47 (d) x=56 ,\ y=77 ,\ z=47