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Prove that the line joining centres of...

Prove that the line joining centres of two interesting circles subtends equal angles at the two points of intersection.

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Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection

prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.

Prove Equal chords of congruent circles subtend equal angles at the centre.

Prove Equal chords of a circle subtend equal angles at the centre.

Prove that equal chords of congruent circles subtend equal angles at their centre.

Prove that equal chords of congruent circles subtend equal angles at their centre.

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords.

Prove that if chords of congruent circles subtend equal angles at their centres, thenthe chords are equal.

Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre.

Theorem:- If the line segment joining two points subtends equal angles at two other points lying on the same side of the line segment; the four points are concyclic. i.e lie on the same circle.

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In Figure, A B=C B\ a n d\ O is the centre of the circle. Prove that B...

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  2. Two circle with centres A and B intersect at C and Ddot Prove that /A ...

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  3. Prove that the line joining centres of two interesting circles subte...

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  4. The radius of a circle is 8cm and the length of one of its chords i...

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  5. Find the length of a chord which is at a distance of 5 cm from the ...

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  6. Find the length of a chord which is at a distance of 4 cm from the ...

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  7. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a ci...

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  8. Suppose you are given a circle. Give a construction to find its cen...

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  9. Prove that the line joining the mid-point of a chord to the centre ...

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  10. Prove that a diameter of a circle which bisects a chord of the circ...

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  11. Prove that two different circles cannot intersect each other at mor...

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  12. A line segment A B is of length 5 cm. Draw a circle of radius 4 ...

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  13. An equilateral triangle of side 9 cm is inscribed in a circle. Find...

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  14. Given an arc of a circle, complete the circle.

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  15. Draw different pairs of circles. How many points does each pair hav...

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  16. Suppose you are given a circle. Give a construction to find its cen...

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  17. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a ci...

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  18. The lengths of two parallel chords of a circle are 6 cm and 8 cm. I...

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  19. If two chords of a circle are equally inclined to the diameter thro...

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  20. In Figure, O is the centre of a circle and P O BISECTS /A P D. Prove...

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