Prove that through a given point, we can draw only one perpendicular to a given line.

Prove that through a given point, we can draw only perpendicular to a given line.

Equation of line passing through a given point and perpendicular to given line

One and only one straight line can be drawn passing through two given points and we can draw only one triangle through non-collinear points. By integral coordinates (x,y) of a point we mean both x and y as integers . The number of points in the cartesian plane with integral coordinates satisfying the inequalities |x|le 4 , |y| le 4 and |x-y| le 4 is

One and only one straight line can be drawn passing through two given points and we can draw only one triangle through non-collinear points. By integral coordinates (x,y) of a point we mean both x and y as integers . The number of points in the cartesian plane with integral coordinates satisfying the inequalities |x|le 4 , |y| le 4 and |x-y| le 4 is

How many perpendicular lines can be draw to a given line ?

Prove that the locus of the centres of all circles passing through two given points A, B is the perpendicular bisector of the line segment AB.

Prove that, through three given points which are not collinear, there is only one circle.

Only one line can pass through a given point.