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Prove that the line joining the mid-poin...

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

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Prove that the line joining the mid-point of a chord to the centre of the circle passes through the mid-point of the corresponding minor arc.

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The line joining the mid-points of two chords of a circle passes through its centre. Prove that the chords are parallel.

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If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Equal chords of a circle are equidistant from the centre.

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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 the mid-points of two parallel chords of a...

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  4. Prove that the right bisector of a chord of a circle, bisects the c...

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  5. Prove that the perpendicular bisector of a chord of a circle always...

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  6. Prove that the line joining the mid-points of two parallel chords of a...

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  7. Two circles of radil 5c m and 3c m intersect at two points and the dis...

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  8. Two circles are drawn with sides A B ,A C of a triangle A B C as diame...

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  9. In the figure, two circles intersect at A and B . A C and A D are resp...

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  10. Prove that any angle subtended by a minor arc in the alternate segment...

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  11. The arc of a circle subtending a right angle at any point of the circl...

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  12. Using vectors, prove that angle in a semicircle is a right angle.

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  13. Prove that angle in the same segment of a circle are equal.

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  14. Prove that the circle drawn on any one of the equal sides of an iso...

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  15. A chord of a circle is equal to the radius of the circle find the angl...

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  16. In Figure, A B C is a triangle in which /B A C=30^@. Show that B C is ...

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  17. Theorem:- If the line segment joining two points subtends equal angles...

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  18. In Figure, O A and O B ar respectively perpendiculars to chords C D an...

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  19. Draw the graph of the fuction 4x+3y=12,at what pt it cut the coordinat...

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  20. If two equal chords of a circle in intersect within the circle, prove ...

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