Statement 1 : Any chord of the conic `x^2+y^2+x y=1` through (0, 0) is bisected at (0, 0). Statement 2 : The center of a conic is a point through which every chord is bisected.

Statement 1 : The center of the circle having x+y=3 and x-y=1 as its normals is (1, 2) Statement 2 : The normals to the circle always pass through its center

Statement 1 : The number of circles passing through (1, 2), (4, 8) and (0, 0) is one. Statement 2 : Every triangle has one circumcircle

Find the equation of the chord of the circle x^2+y^2=a^2 passing through the point (2, 3) farthest from the center.

Identify the type of the conic 3x^(2)-8y^(2)-15x-18y-29=0

If the midpoint of the chord of the ellipse x^2/16+y^2/25=1 is (0,3)

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

A circle passes through (0,0) and (1, 0) and touches the circle x^2 + y^2 = 9 then the centre of circle is -

The number of intergral value of y for which the chord of the circle x^2+y^2=125 passing through the point P(8,y) gets bisected at the point P(8,y) and has integral slope is (a) 8 (b) 6 (c) 4 (d) 2

If two distinct chords of a parabola y^2=4ax , passing through (a,2a) are bisected by the line x+y=1 ,then length of latus rectum can be

Statement 1: The length of focal chord of a parabola y^2=8x making on an angle of 60^0 with the x-axis is 32. Statement 2: The length of focal chord of a parabola y^2=4a x making an angle with the x-axis is 4acos e c^2alpha