English

The negation of the statement “A circle is an ellipse” is ______.

Advertisements
Advertisements

Question

The negation of the statement “A circle is an ellipse” is ______.

Options

  • An ellipse is a circle

  • An ellipse is not a circle

  • A circle is not an ellipse

  • A circle is an ellipse

MCQ
Fill in the Blanks
Advertisements

Solution

The negation of the statement “A circle is an ellipse” is a circle is not an ellipse.

Explanation:

Let p: A circle is an ellipse.

~ p: A circle is not an ellipse.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Exercise [Page 266]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 21 | Page 266

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Show that the following statement is true by the method of contrapositive.

p: If x is an integer and x2 is even, then x is also even.


Find out the sentence are statement and are not. Justify your answer.

Is the earth round?


Find out the sentence are statement and are not. Justify your answer.

All real numbers are complex numbers.


Find out the sentence are statement and are not. Justify your answer.

The product of (−1) and 8 is 8.

 

Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The sun is cold.

 

Find the component statement of the compound statement:
 The sky is blue and the grass is green.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


Write the component statement of the compound statement and check whether the compound statement is true or false:

The sand heats up quickly in the sun and does not cool down fast at night.

 

Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 


Write the negation of  statement:

For every x ϵ N, x + 3 < 10


Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.


 statement are true and false? In each case give a valid reason for saying so

 p : Each radius of a circle is a chord of the circle.


 statement are true and false? In each case give a valid reason for saying so

q : The centre of a circle bisects each chord of the circle.


 statement are true and false? In each case give a valid reason for saying so

r : Circle is a particular case of an ellipse.


Write the negation of the following statements:
p: All triangles are equilateral triangles.


Rewrite the following statements in the form of conditional statements:

A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.


Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

Sky is red.


Which of the following sentences are statements? Justify

y + 9 = 7.


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


Translate the following statements into symbolic form

Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0


Rewrite the following statements in the form of conditional statements

You will fail, if you will not study.


Rewrite the following statements in the form of conditional statements

2b = a + c, if a, b and c are in A.P.


Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.


Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.


Identify the Quantifiers in the following statements.

For all real numbers x and y, xy = yx.


Identify the Quantifiers in the following statements.

For all real numbers x with x > 3, x 2 is greater than 9.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


Check the validity of the following statement.
q: 131 is a multiple of 3 or 11


The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.


Which of the following is not a negation of “A natural number is greater than zero”?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×