A straight line is drawn through the centre of the circle `x^2+y^2-1ax=0` parallel to the straight line `x+2y=0` and intersection the circle at `A and B.` Then the area of `AOB` is

A straight line is drawn through the centre of the circle x^(2)+y^(2)-2ax=0 line x+2y=0 parallel to the straight and intersecting the circle at A and B. Then the area of triangle AOB is

The number of circles that touch all the straight lines x+y-4=0, x-y+2=0 and y=2 , is

The number of circles that touch all the straight lines x+y-4=0, x-y+2=0 and y=2 , is

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The straight line through the point of intersection of ax + by+c=0 and a'x+b'y+c'= 0 are parallel to the y-axis has the equation

The straight line through the point of intersection of ax + by+c=0 and a'x+b'y+c'= 0 are parallel to the y-axis has the equation

The pole of a straight line with respect to the circle x^2+y^2=a^2 lies on the circle x^2+y^2=9a^2 . If the straight line touches the circle x^2+y^2=r^2 , then :