Olympiad/HOTS corner
Subject Experts Mathematics Solutions for Exercise - Olympiad/HOTS corner
Simple step-by-step solutions to Olympiad/HOTS corner questions of Basic Geometrical Ideas from Foundation Course Mathematics. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.
Questions from Olympiad/HOTS corner with Hints & Solutions
Classify the following into open and closed curves.

Which of the following statements is/are correct?
(i) A sector is the region in the interior of a circle enclosed by an arc on one side and a pair of radii on the other two sides.
(ii) A segment of a circle is the region in the interior of the circle enclosed by an arc and a chord.
(iii) Diameter is the longest chord of a circle.
(iv) A circle is a polygon.

Which of the following figures are not polygons?

Match the columns.
Column | Column | ||
Number of line(s) passing through two given points is | Nine | ||
Number of ray(s) can be drawn with same initial point is | Zero | ||
The number of points of intersection of three parallel lines is | One | ||
Number of diagonals in a six sided polygon is | Infinite |

Which of the following statements is incorrect?

Fill in the blanks.
Any drawing (straight or non-straight) done without lifting the pencil is a _____ . A _____ is the one that does not cross itself. A curve is said to be _____ , if its ends are joined. A _____ is a simple closed curve made up of line segments only.

Which of the following sets of points lies in the exterior of the ?

In the figure below how many line segments can be drawn with any two of the points as end points?
