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If diagonals of a cyclic quadrilateral a...

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.

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MODERN PUBLICATION-CIRCLES-EXERCISE
  1. (True/ False) A circle is a plane figure.

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  2. Name the region between a chord and either of the arcs.

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  3. If diagonals of a cyclic quadrilateral are diameters of the circle thr...

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  4. Given three non-collinear points. How many circles can be drawn throug...

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  5. In a triangle with one angle (2pi)/(3), the lengths of the sides form ...

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  6. In a circle C(O,r), AOB and COD are two diameters perpendicular to eac...

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  7. Two congruent circles with centres C and O' intersect at A and B. If a...

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  8. True/False: The degree measure of a semi-circle is 180^@

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  9. (True/ False) A circle has only finite number of equal chords.

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  10. True/False: The perimeter of circle is called its circumference .

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  11. True/False: A circle divides the plane into three parts.

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  12. True/False: Let O be the centre of a circle with radius r. Then a po...

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  13. True/False: An equilateral triangle ABC is inscribed in a circle wit...

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  14. The perpendicular from the centre of a circle to a chord bisects the c...

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  15. In a circle C(O,r), AOB and COD are two diameters perpendicular to eac...

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  16. True/False: The degree measure of a semi-circle is 180^@

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  17. Two circles of radii 5 cm and 3 cm intersect at two points and the dis...

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  18. Fill in the Blanks: Angles in the same segment of a circle are

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  19. Fill in the Blanks: Equal arcs of a circle subtend angles at the cen...

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  20. Fill in the Blanks: Angles subtended by an arc at the centre of a ci...

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