Tags Exemplar Solution

Exemplar Solution

Get insights from 1.3k questions on Exemplar Solution, answered by students, alumni, and experts. You may also ask and answer any question you like about Exemplar Solution

Follow Ask Question

1.3k

Questions

Discussions

Active Users

Followers

New answer posted

6 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Seven

Kindly consider the following

0 Follower 2 Views

alok kumar singh

Contributor-Level 10

This is a Long answer type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l} L e t I = \int_{0}^{π} x l o g s i n x d x \dots (i) \\ = \int_{0}^{π} (π - x) l o g s i n (π - x) d x [\int_{0}^{a} f (x) d x = \int_{0}^{a} f (a - x) d x] \\ = \int_{0}^{π} (π - x) l o g s i n x d x \dots (i i) \\ A d d i n g (i) a n d (i i) \\ 2 I = \int_{0}^{π} [(π - x) l o g s i n x + x l o g s i n x] d x \\ 2 I = \int_{0}^{π} π l o g s i n x d x \\ 2 I = 2 π \int_{0}^{\frac{π}{2}} l o g s i n x d x [? \int_{0}^{a} f (x) d x = 2 \int_{0}^{a / 2} f (x) d x] \\ ∴ I = π \int_{0}^{\frac{π}{2}} l o g s i n x d x \dots (i i i) \\ I = π \int_{0}^{\frac{π}{2}} l o g s i n (\frac{π}{2} - x) d x \\ I = π \int_{0}^{\frac{π}{2}} l o g c o s x d x \dots (i v) \\ O n a d d i n g (i i i) a n d (i v), w e g e t \\ 2 I = π \int_{0}^{\frac{π}{2}} (l o g s i n x + l o g c o s x) d x \\ 2 I = π \int_{0}^{\frac{π}{2}} l o g s i n x c o s x d x \\ 2 I = π \int_{0}^{\frac{π}{2}} \frac{l o g 2 s i n x c o s x}{2} d x \\ 2 I = π \int_{0}^{\frac{π}{2}} l o g s i n 2 x d x - π \int_{0}^{\frac{π}{2}} l o g 2 d x \\ P u t 2 x = t \Rightarrow 2 d x = d t \Rightarrow d x = \frac{d t}{2} \\ 2 I = π \int_{0}^{π} l o g s i n t d t - π . l o g 2 \int_{0}^{\frac{π}{2}} 1 d x [C h a n g i n g t h e limit] \\ 2 I = I - π . l o g 2 {[x]}_{0}^{\frac{π}{2}} & \end{array}$

0 0

New answer posted

6 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Seven

Kindly consider the following

0 Follower 2 Views

alok kumar singh

Contributor-Level 10

This is a Long answer type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l} L e t I = \int_{0}^{1} \underset{I I}{x l o g} \underset{I}{| 1 + 2 x |} d x \\ = {[l o g | 1 + 2 x | . (\frac{x^{2}}{2})]}_{0}^{1} - \int_{0}^{1} (\frac{1.2}{1 + 2 x} . \frac{x^{2}}{2}) d x \\ = \frac{1}{2} {[x^{2} l o g (1 + 2 x)]}_{0}^{1} - \int_{0}^{1} (\frac{x^{2}}{1 + 2 x}) d x \\ = \frac{1}{2} [l o g 3 - 0] - \int_{0}^{1} (\frac{x}{2} - \frac{x / 2}{1 + 2 x}) d x \\ = \frac{1}{2} l o g 3 - \frac{1}{2} \int_{0}^{1} x d x + \frac{1}{2} \int_{0}^{1} \frac{x}{1 + 2 x} d x \\ = \frac{1}{2} l o g 3 - \frac{1}{2} {[\frac{x^{2}}{2}]}_{0}^{1} + \frac{1}{2} . \frac{1}{2} \int_{0}^{1} \frac{(2 x + 1 - 1)}{1 + 2 x} d x \\ = \frac{1}{2} l o g 3 - \frac{1}{4} [1 - 0] + \frac{1}{4} \int_{0}^{1} 1 d x - \frac{1}{4} \int_{0}^{1} \frac{1}{2 x + 1} d x \\ = \frac{1}{2} l o g 3 - \frac{1}{4} + \frac{1}{4} {[x]}_{0}^{1} - \frac{1}{4} . \frac{1}{2} {[l o g | 2 x + 1 |]}_{0}^{1} \\ = \frac{1}{2} l o g 3 - \frac{1}{4} + \frac{1}{4} - \frac{1}{8} [l o g 3 - 0] \\ = \frac{1}{2} l o g 3 - \frac{1}{8} l o g 3 = \frac{3}{8} l o g 3 \\ H e n c e, I = \frac{3}{8} l o g 3 . \end{array}$

0 0

New answer posted

6 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Seven

Kindly consider the following

0 Follower 1 View

alok kumar singh

Contributor-Level 10

This is a Long answer type Questions as classified in NCERT Exemplar

Sol:

0 0

New answer posted

6 months ago

Exemplar Solution Maths NCERT Exemplar Solutions Class 12th Chapter Seven

Kindly consider the following

$\int\sqrttanx d x (Hint: Put t a n x = t^{2})$

0 Follower 2 Views

alok kumar singh

Contributor-Level 10

This is a Long answer type Questions as classified in NCERT Exemplar

0 0

New answer posted

6 months ago

Exemplar Solution Chemistry NCERT Exemplar Solutions Class 12th Chapter Sixteen

Assertion (A): Artificial sweeteners are added to the food to control the intake of calories.

Reason (R): Most of the artificial sweeteners are inert and do not metabolise in the body.

(a) Assertion and reason both are correct statements but reason does not explain assertion.

(b) Assertion and reason-both are correct statements and reason explains the assertion.

(c) Both assertion and reason are wrong statement.

(d) Assertion is correct statement and reason is wrong statements.

(e) Assertion is wrong statements and reason is correct statement.

0 Follower 2 Views

Payal Gupta

Contributor-Level 10

This is a assertion and reason answer type question as classified in NCERT Exemplar

(b) Artificial sweeteners do not provide any calories because they are inert and do not metabolise in the body.

0 0

New answer posted

6 months ago

Exemplar Solution Chemistry NCERT Exemplar Solutions Class 12th Chapter Sixteen

Assertion (A): Preservative are added to food items.

Reason (R): Preservatives inhibit the growth of microorganisms.

(a) Assertion and reason both are correct statements but reason does not explain assertion.

(b) Assertion and reason-both are correct statements and reason explains the assertion.

(c) Both assertion and reason are wrong statement.

(d) Assertion is correct statement and reason is wrong statements.

(e) Assertion is wrong statements and reason is correct statement.

0 Follower 2 Views

Payal Gupta

Contributor-Level 10

This is a assertion and reason answer type question as classified in NCERT Exemplar

(b) Preservatives are added to the food items because they inhibit the growth of microorganisms.

0 0

New answer posted

6 months ago

Exemplar Solution Chemistry NCERT Exemplar Solutions Class 12th Chapter Sixteen

Assertion (A): All chemicals added to food items are called food preservatives.

Reason (R): All these chemicals increase the nutritive value of the food.

(a) Assertion and reason both are correct statements but reason does not explain assertion.

(b) Assertion and reason-both are correct statements and reason explains the assertion.

(c) Both assertion and reason are wrong statement.

(d) Assertion is correct statement and reason is wrong statements.

(e) Assertion is wrong statements and reason is correct statement.

0 Follower 4 Views

Payal Gupta

Contributor-Level 10

This is a assertion and reason answer type question as classified in NCERT Exemplar

(c) Chemicals which are added to food items to prevent them from spoiling against bacteria yeast and moulds are called food preservatives. They do not increase nutritive value of food.

0 0

New answer posted

6 months ago

Exemplar Solution Chemistry NCERT Exemplar Solutions Class 12th Chapter Sixteen

Assertion (A): Receptor proteins show selectivity for one chemical messenger over the other.

Reason (R): Chemical messenger binds to the receptor site and inhibits its natural function.

(a) Assertion and reason both are correct statements but reason does not explain assertion.

(b) Assertion and reason-both are correct statements and reason explains the assertion.

(c) Both assertion and reason are wrong statement.

(d) Assertion is correct statement and reason is wrong statements.

(e) Assertion is wrong statements and reason is correct statement.

0 Follower 1 View

Payal Gupta

Contributor-Level 10

This is a assertion and reason answer type question as classified in NCERT Exemplar

(d) Chemical messenger binds the receptor site and gives the message to the cell without entering the cell.

0 0

New answer posted

6 months ago

Exemplar Solution Chemistry NCERT Exemplar Solutions Class 12th Chapter Sixteen

Assertion (A): Chemical messenger gives message to the cell without entering the cell.

Reason (R): Chemical messenger is received at the binding site of receptor proteins.

(a) Assertion and reason both are correct statements but reason does not explain assertion.

(b) Assertion and reason-both are correct statements and reason explains the assertion.

(c) Both assertion and reason are wrong statement.

(d) Assertion is correct statement and reason is wrong statements.

(e) Assertion is wrong statements and reason is correct statement.

0 Follower 1 View

Payal Gupta

Contributor-Level 10

This is a assertion and reason answer type question as classified in NCERT Exemplar

(b) Chemical messenger gives message to the cell without entering the cell because it is received at the binding site of the receptor.

0 0

New answer posted

6 months ago

Exemplar Solution Chemistry NCERT Exemplar Solutions Class 12th Chapter Sixteen

Assertion (A): Non-competitive inhibitor inhibits the catalytic activity of enzyme by binding with its active site.

Reason (R): Non-competitive inhibitors changes the shape of the active site in such a way that substrate cannot recognize it.

(a) Assertion and reason both are correct statements but reason does not explain assertion.

(b) Assertion and reason-both are correct statements and reason explains the assertion.

(c) Both assertion and reason are wrong statement.

(d) Assertion is correct statement and reason is wrong statements.

(e) Assertion is wrong statements and reason is correct statement.

0 Follower 1 View

Payal Gupta

Contributor-Level 10

This is a assertion and reason answer type question as classified in NCERT Exemplar

(e) Non-competitive inhibitors inhibit the catalytic activity of enzyme by binding with its allosteric site.

0 0

Get authentic answers from experts, students and alumni that you won't find anywhere else

On Shiksha, get access to

66k Colleges
1.2k Exams
681k Reviews
1800k Answers

Community GuidelinesUser Points System

QuestionsDiscussionsTags

Need guidance on career and education? Ask our experts

Your Question

Exemplar Solution

Questions

Discussions

Active Users

Followers

All

Discussions

Unanswered Questions

Share Your College Life Experience