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Theorem 1: Equal Chords Subtend Equal Angles at the Center

35. Two circl...

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35. Two circles A and B of radius 3 cm and 4cm intersect at the point C and D such thatcAC and BC are tangent to the circle. Find the lenght of common chord CD

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Q. Two circles with centres

A

B

3 c m

4 c m

, respectively intersect at two points

C

D

A C

B C

are tangents to the two circles. Find the 10 times length of the common chord

C D

Q. Consider the following statement :
I. Two circles with centres A and B, radii 3 cm and 4 cm respectively intersect at two points C and D.
II. AC and BC are tangents to the two circles.
Then, length of chord CD will be___.
Choose the correct option.

Q. Question 5
Two circles with centers O and O’ of radii 3 cm and 4 cm , respectively intersect at two points P and Q, such that OP and O’P are tangents to the two circles. Find the length of the common chord PQ.

Q. AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm and

A B ∥ C D

. If the distance between AB and CD is 3 cm, find the radius of the circle. [4 MARKS]

Q. AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm and

A B ∥ C D

. If the distance between AB and CD is 3 cm, find the radius of the circle. [4 MARKS]

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Theorem 1: Equal Chords Subtend Equal Angles at the Center

Standard IX Mathematics

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