Tags Maths

Maths

Get insights from 6.5k questions on Maths, answered by students, alumni, and experts. You may also ask and answer any question you like about Maths

Follow Ask Question

6.5k

Questions

Discussions

Active Users

Followers

New answer posted

a year ago

Maths Mathematical Reasoning

Give three examples of sentences which are not statements. Give reasons for the answers.

0 Follower 3 Views

alok kumar singh

Contributor-Level 10

This is a Mathematical Reasoning Solutions Type Questions as classified in NCERT Exemplar

The three examples of sentences which are not statements are:

(1) He is an engineer.

Here, in this sentence, it is not evident as to whom 'he' is referred to. Hence, it is not a statement.

(2) Painting is easy for some people, painting can be easy and for some others, it can be difficult. Hence, it is not a statement.

(3) Where is my hat?

This sentence is a question which is not considered as a statement in mathematical language. Hence, it is not a statement.

0 0

New answer posted

a year ago

Maths Mathematical Reasoning

Which of the following sentences are statements? Give reasons for your answer.

(i) There are 35 days in a month.

(ii) Mathematics is difficult.

(iii) The sum of 5 and 7 is greater than 10.

(iv) The square of a number is an even number.

(v) The sides of a quadrilateral have equal length.

(vi) Answer this question.

(vii) The product of (–1) and 8 is 8.

(viii) The sum of all interior angles of a triangle is 180°.

(ix) Today is a windy day.

(x) All real numbers are complex numbers.

0 Follower 2 Views

alok kumar singh

Contributor-Level 10

This is a Mathematical Reasoning Solutions Type Questions as classified in NCERT Exemplar

(i) This sentence is false because there are less than 35 days in a month. Hence it is a statement.

(ii) This sentence differs to individual, as some may find it difficult and some may find it easy. This means that it is not always true. Hence it is not a statement.

(iii) This sentence is true as the sum of 5 and 7 is 12 which is greater than 10. Hence it is a statement.

(iv) This sentence can be correct and incorrect sometimes as the square of 2 is even but the square of 3 is an odd. Hence it is not a statement.

(v) This sentence is no

...more

0 0

New answer posted

a year ago

Maths Maths NCERT Exemplar Solutions Class 12th Chapter Five

If $f \cdot g$ is continuous at $x = a$ , then $f$ and $g$ are separately continuous at x=a.

0 Follower 4 Views

alok kumar singh

Contributor-Level 10

This is a True or False Type questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l} F a l s e . \\ L e t u s t a k e a n e x a m p l e : f (x) = s i n x a n d g (x) = c o t x \\ ∴ f (x) . g (x) = s i n x . c o t x = s i n x . \frac{c o s x}{s i n x} = c o s x w h i c h i s c o n t i n u o u s a t x = 0 b u t c o t x i s n o t \\ c o n t i n u o u s a t x = 0 . \end{array}$

0 0

New answer posted

a year ago

Maths Maths NCERT Exemplar Solutions Class 12th Chapter Five

Trigonometric and inverse-trigonometric functions are differentiable in their respective domains.

0 Follower 2 Views

alok kumar singh

Contributor-Level 10

This is a True or False Type questions as classified in NCERT Exemplar

Sol: $T r u e .$

0 0

New answer posted

a year ago

Maths Maths NCERT Exemplar Solutions Class 12th Chapter Five

The composition of two continuous functions is a continuous function.

0 Follower 7 Views

alok kumar singh

Contributor-Level 10

This is a True or False Type questions as classified in NCERT Exemplar

Sol: $T r u e . W e k n o w t h a t t h e s u m a n d d i f f e r e n c e o f t w o o r m o r e f u n c t i o n s i s a l w a y s c o n t i n u o u s .$

0 0

New answer posted

a year ago

Maths Maths NCERT Exemplar Solutions Class 12th Chapter Five

If $f$ is continuous on its domain $D$ , then $? f ?$ is also continuous on $D$ .

0 Follower 3 Views

alok kumar singh

Contributor-Level 10

This is a True or False Type questions as classified in NCERT Exemplar

Sol: $T r u e . W e k n o w t h a t t h e f u n c t i o n i s c o n t i n u o u s f u n c t i o n o n i t s d o m a i n .$

0 0

New answer posted

a year ago

Maths Maths NCERT Exemplar Solutions Class 12th Chapter Five

State True or False for the statements in each of the Exercises 102 to 106:

Rolleâ€™s theorem is applicable for the function $f (x) = ∣ x - 1 ∣$ in $[0, 2]$ .

0 Follower 6 Views

alok kumar singh

Contributor-Level 10

This is a True or False Type questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l} F a l s e . G i v e n t h a t f (x) = | x - 1 | i n [0, 2] \\ W e k n o w t h a t t h e f u n c t i o n i s n o t d i f f e r e n t i a b l e . S o . i t i s f a l s e . \end{array}$