Question

two points of intersection
are pics
EXERCISE 10.6 (Optional)*
1. Prove that the line of centres of two intersecting circles subtends equal anglesa
7.
2. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle a
to each other and are on opposite sides of its centre. If the distance between B &
CD is 6 cm, find the radius of the circle.
at distance 4 cm from the centre, what is the distance of the other chord from
centre?
4. Let the vertex of an angle ABC be located outside a circle and let the sides of the 10.
intersect equal chords AD and CE with the circle. Prove that ZABC is equal tohl 1.
difference of the angles subtended by the chords AC and DE at the centre.
5. Prove that the circle drawn with any side of a rhombus as diameter, passes that 12.
the point of intersection of its diagonals.
13.
6. ABCD is a parallelogram. The circle through A, B and C intersect CD (produce
14.
necessary) at E. Prove that AE = AD.
7. AC and BD are chords of a circle which bisect each other. Prove that (1) AC and Et
diameters, (ii) ABCD is a rectangle.
15.
8. Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D.
16.
Frespectively. Prove that the angles of the triangle DEF are 90°- 4,90-
1
2
90° ––C.
2​

Answer 1

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Answer 2

see the attachment

Step-by-step explanation:

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