`A (1, -2) and B (2, 5)` are two points. The line OA, OB are produced to C and D respectively such that `OC=2OA and OD=20B`. Find CD

A(1, -2) and B(2, 5) are two points. The lines OA, OB are produced to C and D respectively, such that OC=2OA and OD=2OB . Find CD .

Two fixed point A and B are taken on the cordinate axes such that OA = a and OB = b. Two variable points A' and B' are taken on the same axes such that OA'+OB' = OA + OB. Find the locus of the point of intersection of AB' and A'B.

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

Straight lines OA and OB are drawn from the origin O, if the direction ratios of the lines OA and OB are 1, -1, -1 and 2, -1, 1 respectively then find the direction cosines of the normal to the plane AOB.

O is any point inside a rectangle ABCD. Prove that OB^(2)+OD^(2)=OA^(2)+OC^(2) . DEDUCTION In the given figure, O is a point inside a rectangle ABCD such that OB=6cm, OD=8 cm and OA=5 cm, find the length of OC.

if D,E and F are the mid-points of the sides BC,CA and AB respectively of the DeltaABC and O be any points, then prove that OA+OB+OC=OD+OE+OF

if D,E and F are the mid-points of the sides BC,CA and AB respectively of the DeltaABC and O be any points, then prove that OA+OB+OC=OD+OE+OF

A line through the origin intersects x = 1,y =2 and x +y = 4 , in A, B and C respectively,such that OA*OB*OC =8 sqrt2 . Find the equation of the line.