Which axis the points such as (0,x) (0,y) (0,2) and (0,-5) lie on? Why?

The points (2k, 3k), (1, 0), (0, 1) and (0, 0) lie on a circle for

Where do the points ( 0 , - 3) and ( - 8 , 0) lie on co-ordinate axis ?

Find the equation of the circle which passes through the point (2,0), (0,2) and orthogonally to the circle 2x^2 + 2y^2 + 5x - 6y + 4 = 0 .

Find the equation of the circle which passes through the points (2,0)(0,2) and orthogonal to the circle 2x^2+2y^2+5x-6y+4=0 .

The range of theta in (0, pi) such that the point (3, 5) and (sin theta, cos theta) lie on the same side of the line x+y-1=0 is

Number of points with integral coordinates which lie inside the triangle formed by (0,21), (21,0) and (0,0) is

If the ends of major axis of an ellipse are (5,0) and (-5,0). Find the equation of the ellipse in the standard form if its focus lie on the line 3x-5y-9=0.

Among the points given below some of the poitns lie on X-axis. Identify them (i) (0,5) (ii) (0,0) (iii) (3,0) (iv) (-5,0) (v) (-2,-3) (vi) (-6,0) (vii) (0,a) (viii) (b,0)

Equation of the circle touching the y-axis at (0,sqrt3) and cuts the x-axis in the points (-1,0) and (-3,0) is