two circles touches internally at point P. how many tangents can be drawn to the circle from an external point? what is the relation between the the tangents?
Dear student,
Answer :
Given : Two circles touch internally at point " P " .
And we know " A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. , So we can draw only one tangent that is common for both circle and that tangent also meet two circles at point " P " .
We know " If a line is tangent to a circle, it is perpendicular to the radius drawn to the point of tangency. "
So , line OP and O'P both are perpendicular on tangent .
Both the circles would have a single tangent at point P.
Regards
Answer :
Given : Two circles touch internally at point " P " .
And we know " A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point. , So we can draw only one tangent that is common for both circle and that tangent also meet two circles at point " P " .
We know " If a line is tangent to a circle, it is perpendicular to the radius drawn to the point of tangency. "
So , line OP and O'P both are perpendicular on tangent .
Both the circles would have a single tangent at point P.
Regards