If `A=(x_(1),y_(1))` and `B=(x_(2),y_(2))` such that AB=7 ,if the origin is shifted to (3,5) ,then the new length of AB is

If A=[(1,2,x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)], then

If A (x_(1) , y_(1)) " and B" (x_(2), y_(2)) are point on y^(2) = 4ax , then slope of AB is

If O is origin,A(x_(1),y_(1)) and B(x_(2),y_(2)) then the circumradius of Delta AOB is

Let A(x_(1), y_(1))" and "B(x_(2), y_(2)) be two points on the parabola y^(2)=4ax . If the circle with chord AB as a diameter touches the parabola, then |y_(1)-y_(2)|=

The equation x^(2)+xy-3x-y+2=0 beome when the origin is shifted to the point (1,1) is

A(x_(1),y_(1))B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices and a,b and c are the sides BC,CA and AB of the triangle ABC respectively then the Coordinates of in centre are I=

Let A=[{:(-5,-8,-7),(3,5,4),(2,3,3):}] and B=[{:(x),(y),(1):}] . If AB is a scalar multiple of B , then the value of x+y is

Points A and B lie on the parabola y=2x^(2)+4x-2, such that origin is the mid-point of the linesegment AB .If I be the length of the line segment AB, then find the unit digit of l^(2) .