Question

Q-12
Answer the following questions:
(1) How many tangents are seen at a point of the circle ?
(11). Define secant of the circle ?
(ii) Ifr, and r, are the radii of two concentric circles and (r, > .). If the chord
of the larger circle AB touches the inter circle. Find the value of AB​

Answer 1

Answer:

11 ) define secant . 1) tangent

Step-by-step explanation:

Hope it's helpful !!!

Answer 2

Step-by-step explanation:

12(1)

No tangent line can be drawn through a point within a circle, since any such line must be a secant line. However, two tangent lines can be drawn to a circle from a point P outside of the circle

11)secant of a curve is a line that intersects the curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant will intersect the circle at exactly two points.

(ii)ang.OEC=90 (tangent and radius at point of contact are perpendicular)

by Pythagoras theorem

AO² =OC² + AC²

a² = b² + AC²

$ac = \sqrt{ {a}^{2} - {b}^{2} }$

AB=2AC [perpendicular drawn from centre bisect the chord]

$ab = 2 \sqrt{ {a}^{2} - {b}^{2} }$

HOPE ITS HELPFUL