The straight line x+2y=1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then the sum of perpendicular distances from A and B on the tangent to the circle at the origin is

A line 2x + y = 1 intersect co-ordinate axis at points A and B . A circle is drawn passing through origin and point A & B . If perpendicular from point A and B are drawn on tangent to the circle at origin then sum of perpendicular distance is (A) 5/sqrt2 (B) sqrt5/2 (C) sqrt5/4 (D) 5/2

A line meets the coordinate axes at A and B . A circle is circumscribed about the triangle O A Bdot If d_1a n dd_2 are distances of the tangents to the circle at the origin O from the points Aa n dB , respectively, then the diameter of the circle is (a) (2d_1+d_2)/2 (b) (d_1+2d_2)/2 (c) d_1+d_2 (d) (d_1d_2)/(d_1+d_2)

The straight line x/a+y/b=1 cuts the coordinate axes at A and B . Find the equation of the circle passing through O(0,0),Aa n dBdot

Find the locus of the feet of the perpendiculars drawn from the point (b, 0) on tangents to the circle x^(2) + y^(2) =a^(2)

A line meets the co-ordinates axes at A(a, 0) and B(0, b) A circle is circumscribed about the triangle OAB. If the distance of the points A and B from the tangent at origin to the circle are 3 and 4 repectively, then the value of a^(2) + b^(2) + 1 is

The line 2x+3y=12 meets the coordinates axes at A and B respectively. The line through (5, 5) perpendicular to AB meets the coordinate axes and the line AB at C, D and E respectively. If O is the origin, then the area (in sq. units) of the figure OCEB is equal to

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot

The line 3x+6y=k intersects the curve 2x^2+3y^2=1 at points A and B . The circle on A B as diameter passes through the origin. Then the value of k^2 is__________

A variable chord is drawn through the origin to the circle x^2+y^2-2a x=0 . Find the locus of the center of the circle drawn on this chord as diameter.

The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coordinate axes at A and B. If the lines drawn parallel to axes through A and B meet at P then locus of P is