2015 · Q95
Consider the following statements :
- 1If non-parallel sides of a trapezium are equal, then it is cyclic.
- 2If the chord of a circle is equal to its radius, then the angle subtended by this chord at a point in major segment is 30°.
Which of the above statements is/are correct?
Elementary MathematicsQuadrilaterals and Polygons
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
An isosceles trapezium has an axis of symmetry, hence is cyclic — statement 1 true. Chord = radius gives central angle 60°, so the angle in the major segment is 30° — statement 2 true. Both correct (option C).