Consider `DeltaXYZ` be a triangle with `YZ=5, XY=6 and KZ=7` . Let C be circumcentre of `DeltaXYZ,C_T and C_Z` be the reflection of C about lines `XZ and XY` respectively. Suppose lines `YC_y and ZC_z`,intersect at A and B in mid point of side YZ, then

Consider Delta XYZ be a triangle with YZ=5,XY=6 and KZ=7. Let C be circumcentre of Delta XYZ,C_(T) and C_(Z) be the reflection of C about lines XZ and C_(Z) be the respectively.Suppose lines YC_(y) and ZC_(z) intersect at A and B in mid point of side YZ, then

Suppose z_(1), z_(2), z_(3) represent the vertices A, B and C respectively of a Delta ABC with centroid at G. If the mid point of AG is the origin, then

In a triangle DeltaXYZ, let a, b, and c be the length of the sides opposites to the angles X,Y and Z, respectively.If 1+cos2X-2cos2Y=2sinXsinY , then possible value(s) of a/b is (are)

In DeltaXYZ , XY = 4 cm , YZ = 6 cm, XZ = 5 cm. If Delta XYZ ~ Delta PQR and PQ = 8 cm, then find the length of remaining sides of DeltaPQR .

(x)/(a) +(y)/(b)+(z)/(c)=1 intersects the co-ordinate axes at points A ,B and C respectively. If Delta PQR has mid-points A,B and C then find area of Delta PQR

Mid points of the sides A B and A C of a triangle A B C are (-3,-5) and (3,3) respectively then the length of B C is

In a triangle DeltaXYZ , let a,b and c be the lengths of the sides opposite to the angles X,Y and Z, respectively. If 2(a^2-b^2)=c^2 and lambda=sin(X-Y)/(sinZ, then possible values of n for which cos(npilambda)=0 is (are)

Two parallel straight lines intersect three concurrent straight lines at the points A , B , C and X,Y,Z respectively. Prove that AB : BC=XY : YZ .