Each of the four inequalities given below defines a region in the plane. One of these four regions does not have the following property. For any two points and in the region, the point is also in the region. The inequality defining this region is

a)

b)

c)

d)

Question ID - 55871 :-

Each of the four inequalities given below defines a region in the plane. One of these four regions does not have the following property. For any two points and in the region, the point is also in the region. The inequality defining this region is

a)

b)

c)

d)

1 Answer

5876 Votes

3537

Answer Key : (c) -

(c)

represents interior region of circle, where on taking any two points the midpoint of that segment will also lie inside that circle

and

Which represents the interior region of a square with its sides and in which for any two points, their midpoint also lies inside the region

represents the exterior region of hyperbola in which we take two points (4, 3) and . Then their midpoint (4, 0) does not lie in the same region (as shown in the figure)

represents interior region of parabola in which for any two points, their midpoint also lies inside the region

We hope we have given the updated helpful answer / content for your query in an easily accessible format to help you in preparing adequately.
We do offer free support materials, 11th maths guide 11th maths guide12th maths guide10th maths guide, also for all the classes books and guide to all the students who sign up for SaraNextGen. Apart from traditional textbook queries, we've got conjointly provided further high order level thinking issues, that are seemingly to be expected in boards and competitive exams. It includes conceptual queries, MCQs, Long and short answer type queries, etc. These Questions are designed to learn each student and academics by providing chapter-wise further issues focusing totally on testing conceptual information with applications.
Here, we've got provided a number of the necessary ways in which within which the solutions of all the Questions will profit students of class 1 to 12. If you have any queries,
drop a message to us and we will get back to you at the earliest.