1)A(2,5),B(-1,3), and C(5,-1) are the vertices of a triangle. The image of the point (1,2) with respect to the median through A is
2)Equation of the circle passing through (0,0),(4,3) and (-3,4) is
3)The points (5,-4,2),(4,-3,1),(7,-6,4)and(8,-7,5) are vertices of .....
(square/parallelogram/rectangle/rhombus/none of these)
2621) find eqn of median (i.e. line through A and mid. of B and C)
let the image be P(a,b)
therefore, mid. of (1,2) and P(a,b) lies on median ... 1
and slope of line joining (1,2) and P(a,b) is perp. to median ....2
solving the two eqns. find a and b .
2622) the points form a right angled triangle (right angled at origin)
hence the diameter of the reqd. circle is the line segment joining (4,3) and (-3,4)
now find its eqn.
2623) let the given points be A,B,C,D
then find direction ratios of AB,BC,CD,DA
the points will come out to be collinear
