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New Question

11 months ago

Relations and Functions Maths

32. If f(x)=4x+36x−4,x≠23   show that( fof) (x) = x for all x ≠ 2/3 What is the inverse of f
0 Follower 4 Views

V
Vishal Baghel

Contributor-Level 10

It is given that f (x)=4x+36x−4, x≠23

(fof) (x)=f (f (x))=f (4x+36x−4)=4 (4x+36x−4)+36 (4x+36x−4)−4=16x+12+18x−1224x+18−24x+16=34x34=x

Therefore fof (x)=x for all x≠23

⇒fof=1

Hence, the given function f is invertible and the inverse of f is itself.

New Question

11 months ago

Relations and Functions Maths

31. Find gof and fog , if:

(i) f(x) = |x| and g(x) = |5x - 2|

(ii) f(x) = 8x3 and g(x) = x1/3
0 Follower 8 Views

New Question

11 months ago

Relations and Functions Maths

30. Let f, g and h be functions from R to R. Show that:

(f + g) oh = foh + goh

(f.g) oh = (foh). (goh)
0 Follower 7 Views

V
Vishal Baghel

Contributor-Level 10

To prove:

(f+g)oh=foh+gohconsider:((f+g)oh)(x)=(f+g)(h(x))=f(h(x))+g(h(x))=(foh)(x)+(goh)(x)={(foh)+(goh)}(x)∴((f+g)oh)(x)={(foh)+(goh)}(x),∀x∈RHence,(f+g)oh=foh+goh

To prove

(f.g)oh=(foh).(goh)Consider((f.g)oh)(x)=(f.g)(h(x))=f(h(x)).g(h(x))=(foh)(x).(goh)(x)={(foh).(goh)}(x)∴((f.g)oh)(x)={(foh).(goh)}(x),∀x∈RHence,(f.g)oh=(foh).(goh)

New Question

11 months ago

Straight Lines Maths

52. If p and q are the lengths of perpendiculars from the origin to the lines x cos q − ysinq = k cos2 and x sec q + y cosec q = k, respectively, provethat p2 + 4q2 = k2.
0 Follower 10 Views

A
alok kumar singh

Contributor-Level 10

52. The given equation lines are.

line 1: xcosθ-y sin θcos 2θ

⇒ xcosθ-y sin θ - kcos 2θ = 0

The perpendicular distance from origin (0,0) to line 1 is

New Question

11 months ago

Engineering Entrance Exam Exam
I got 3293 rank in JEE Advanced. Which course can I get according to this rank under the OBC category?
0 Follower 8 Views

S
Shikha Dixit

Contributor-Level 7

JEE Advanced is the accepting exam at IIT BHU to get admission to BTech courses. Candidates need to acquire a good and valid rank to grab a course at IIT BHU. The institute has released the JEE Advanced cutoff for All India quotas including female. Considering the IIT BHU JEE Advanced cutoff 2024, the candidates applying under OBC AI category must acquire a rank between 524 and 8177. Similarly, for OBC AI female quota, the cutoff ranged between 1592 and 9260. Further, if a candidate has acquired a rank of 3293, then he/she can get admission to the courses given below:

Course2024
Integrated B.Tech. + M.Tech. in Engineering Physics3874
B.Tech. in Ceramic Engineering4895
Integrated B.Tech. + M.Tech. in Ceramic Engineering5501
B.Tech. in Chemical Engineering3404
B.Tech. in Civil Engineering3819
Integrated B.Tech. + M.Tech. in Civil Engineering (Structural Engineering)4123
B.Tech. in Metallurgical Engineering4494
B.Tech. in Mining Engineering4990
Integrated B.Tech. + M.Tech. in Metallurgical Engineering4945
Integrated B.Tech. + M.Tech. in Mining Engineering5454
Integrated B.Tech. in Biochemical Engineering and Biotechnology + M.Tech. in Biochemical Engineering and Biotechnology5680
Integrated B.Tech. in Bioengineering + M.Tech. in Biomedical Engineering5361
Integrated B.Tech. + M.Tech. in Material Sciences and Engineering5324
Integrated B.Tech. + M.Tech. in Industrial Chemistry5474
B.Tech. in Pharmaceutics Engineering and Technology5464
Integrated B.Tech. + M.Tech. in Pharmaceutical Engineering and Technology5622
Bachelor of Architecture (B.Arch.)8177

New Question

11 months ago

Easwari School of Liberal Arts, SRM University
What is the salary package offered at Easwari School of Liberal Arts, SRM University AP?
0 Follower 6 Views

Shiksha Ask & Answer
Shoaib Mehdi

Contributor-Level 10

Easwari School of Liberal Arts, SRM University Andhra Pradesh concluded the placements for the Class of 2024 with an average package of INR 9.38 LPA. The salary package offered during Easwari School of Liberal Arts, SRM University Andhra Pradesh placements 2024 are tabulated below:

Particulars

Placement Statistics (2024)

the highest package

INR 42.82 LPA

Average package

INR 9.38 LPA

New Question

11 months ago

Relations and Functions Maths

Relation and Function Exercise 1.3 Solutions

29. Let f: {1, 3, 4} → {1, 2, 5} and g: {1, 2, 5} → {1, 3} be given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof.
0 Follower 9 Views

V
Vishal Baghel

Contributor-Level 10

The functions f: {1, 3, 4} → {1, 2, 5} and g: {1, 2, 5} → {1, 3} are defined as

f = { (1, 2), (3, 5), (4, 1)} and g = { (1, 3), (2, 3), (5, 1)}.

gof (1) = g (f (1) = g (2) = 3 [f (1) = 2 and g (2) = 3]

gof (3) = g (f (3) = g (5) = 1 [f (3) = 5 and g (5) = 1]

gof (4) = g (f (4) = g (1) = 3 [f (4) = 1 and g (1) = 3]

∴ gof = { (1, 3), (3, 1), (4, 3)}

New Question

11 months ago

Straight Lines Maths

51. The perpendicular from the origin to the line y = mx + c meets it at the point (–1, 2). Find the values of m and c.
0 Follower 14 Views

A
alok kumar singh

Contributor-Level 10

51. 

Let 0 (o, o) be the origin and P (-1, 2) be the given point on the line y = mx + c.

Then, slope of OP, = =2−0−1−0

Slope of OP = -2

As the line y = mx + c is ⊥ to OP we can write

New Question

11 months ago

Humanities & Social Sciences B.A
How to finalise the admission in the Gokul Global University BA?
0 Follower 2 Views

A
Anushka Bidhi

Contributor-Level 10

Gokul Global University BA course is finalised when the student accepts the admission offer and subsequently pay the admission fee and the semester fee as per the university. The students are advised to visit the official website and apply for admission early.  

New Question

11 months ago

Relations and Functions Maths

28.Let f: R → R be defined as f(x) = 3x. Choose the correct answer.

(A) F is one-one onto

(B) F is many-one onto

(C) F is one-one but not onto

(D) F is neither one-one nor onto
0 Follower 3 Views

V
Vishal Baghel

Contributor-Level 10

Given,  f:R→R defined as f (x)=3x

For x1, x2∈R such that f (x1)=f (x2)

⇒3x1=3x2

⇒x1=x2

So,  f is one-one

And for y∈R , there exist y3∈R such that

f (y3)=3×y3=y

∴f is onto

Hence, option (A) is correct.

New Question

11 months ago

Saroop Rani Government College For Women BSc Nursing
Does Saroop Rani Government College for Women offer BSc Nursing?
0 Follower 5 Views

New Question

11 months ago

Accounting & Commerce Karnavati University Placement
How good are the BCom placements at Karnavati University?
0 Follower 1 View

H
Himanshi Pandey

Contributor-Level 10

Karnavati University has not yet released the official placement report pertaining to BCom (Hons). However, a student purusing BCom (Hons) at the university has posted a review on Shiksha.com. As per the student review, various top companies, such as Amazon, TCS, and Accenture, participate in the university's placement drives. The highest salary package during recent years was INR 44 LPA and was offered by Amazon. The reviewer commented the placement rate was approximately 90% -92%.

New Question

11 months ago

Easwari School of Liberal Arts, SRM University
Has the Easwari School of Liberal Arts, SRM University Andhra Pradesh placement report been released?
0 Follower 6 Views

Shiksha Ask & Answer
Shoaib Mehdi

Contributor-Level 10

Easwari School of Liberal Arts, SRM University Andhra Pradesh has released the placement report for the Class of 2024. The key highlights of are tabulated below:

Particulars

Placement Statistics (2024)

the highest package

INR 42.82 LPA

Average package

INR 9.38 LPA

Total recruiters

850+

International offers

65

Placement rate

100%

Top recruiters

Oracle, UKG, Philips, Barclays

Note: The above-mentioned placement stats are the cumulative stats of all the courses of SRM University AP.

New Question

11 months ago

Relations and Functions Maths

27. Let f: R → R be defined as f(x) = x4. Choose the correct answer.

(A) F is one-one onto

(B) F is many-one onto

(C) F is one-one but not onto

(D) F is neither one-one nor onto
0 Follower 7 Views

V
Vishal Baghel

Contributor-Level 10

Given,  f:R→R defined by f (x)=x4

For x1, x2∈R such that f (x1)=f (x2)

⇒x14=x24

⇒x1=±x2

⇒x1=x2 or x1=−x2

So,  f is not one-one

The range of f (x) is a set of all positive real numbers which is not equal to co-domain R

So,  f in not onto

∴ Option (D) is correct

New Question

11 months ago

Law College, Kadi Law
How can I get admission in Law College, Kadi for 5-year law course?
0 Follower 5 Views

L
Lakshita Saini

Beginner-Level 5

  • Complete 12th standard from a recognised board.

  • Secure at least 45% marks in 12th (some relaxation for reserved categories).

  • Fill the application form of the college.

  • Admission is usually based on merit of 12th marks or through an entrance test if the college conducts one.

  • Submit required documents like mark sheets, ID proof, and photographs.

  • If selected, attend counselling or admission confirmation process.

  • Pay the admission fee to secure your seat.

 

 

New Question

11 months ago

Easwari School of Liberal Arts, SRM University
Does Easwari School of Liberal Arts, SRM University Andhra Pradesh conduct on-campus placements?
0 Follower 3 Views

New Question

11 months ago

AIIMS Nursing Syllabus AIIMS Nursing Pattern
Can I download AIIMS NURSING syllabus from the official prospectus?
0 Follower 28 Views

N
Nidhi Gupta

Contributor-Level 10

AIIMS BSc nursing syllabus is not shared in the AIIMS official prospectus dedicated to nursing programme. Candidates will not get any specific download related to the AIIMS nursing syllabus from the official website, bsccourses.aiimsexams.ac.in even. The exam conducting body, AIIMS Delhi, urges the candidate to thoroughly prepare for the entrance exam from Class 11 and Class 12 syllabus.  

New Question

11 months ago

Relations and Functions Maths

26. Let A = R – {3} and B = R – {1}. Consider the function f : A → B defined by f(x)  = (x-2/x-3) Is f one-one and onto? Justify your answer.
0 Follower 21 Views

V
Vishal Baghel

Contributor-Level 10

Given, f:A→B defined by f(x)=(x−2x−3)

Let x1,x2∈A=R−{3} such that

f(x1)=f(x2)

⇒x1−2x1−3=x2−2x2−3

⇒(x1−2)(x2−3)=(x2−2)(x1−3)

⇒x1x2−3x1−2x2+6=x2x1−3x2−2x1+6

⇒2x1−3x1=2x2−3x2

⇒−x1=−x2

⇒x1=x

So, f is one-one

For y∈B=R−{1} there exist f(x)=y such that

x−2x−3=y

⇒x−2=xy−3y

⇒x−xy=2−3y

⇒x(1−y)=2−3y

⇒x=2−3y1−y where y≠1.∈A

Thus, f(2−3y1−y)=(2−3y1−y)−2(2−3y1−y)−3=2−3y−2+2y2−3y−3+3y

⇒−y−1=y

∴f is onto

New Question

11 months ago

Fashion Design B.A
What are the employment areas for BA Fashion Design students?
0 Follower 1 View

G
Gunjan Dhawan

Contributor-Level 9

A BA in Fashion Design graduate can work for various industries, like Export houses, Fashion couture, online retail brands, Fashion studios, Manufacturing, Media houses, and so on.

New Question

11 months ago

Maharashtra Hotel Management
Who is eligible for CII Institute of Hospitality- Hyatt Mumbai admission?
0 Follower 1 View

V
Virajita Sharma

Contributor-Level 10

CII Institute of Hospitality- Hyatt Mumbai eligibility requires candidates to complete Class 12 or equivalent with a minimum aggregate of 50% from a recognised board with English as a compulsory subject. In addition to fulfilling the eligibility, students must also clear the aptitude test and Industry-Panel Viva to get shortlisted. Interested students can head over to the official website of the college for more information.

 
 

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