JEE Exam > JEE Questions > Statement-1 All points of intersection of y =...
Start Learning for Free
Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.
Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).
- a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
- b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
- c)Statement-1 is True, Statement-2 is False
- d)Statement-1 is False, Statement-2 is True
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Statement-1 All points of intersection of y = f (x) & y = f &ndash...
Pt. of intersection of y = f(x) & y = f-1(x) lies on y = x. Also they may not lie on y = x. Infact points which does not
lies on y = x are even in numbers.
and statement (2) is true.
lies on y = x are even in numbers.
and statement (2) is true.
Most Upvoted Answer
Statement-1 All points of intersection of y = f (x) & y = f &ndash...
Explanation:
Statement-1:
- The statement says that all points of intersection of y = f (x) and y = f - 1 (x) lie on y = x only.
- This statement is false. The points of intersection of y = f (x) and y = f - 1 (x) lie on y = x only when f(x) = x.
Statement-2:
- The statement says that if point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f - 1 (x).
- This statement is true. If P (α, β) lies on y = f (x), then the point Q (β, α) will lie on y = f - 1 (x) because the coordinates are swapped.
Therefore, the correct answer is option 'D' - Statement-1 is False, Statement-2 is True.
Statement-1:
- The statement says that all points of intersection of y = f (x) and y = f - 1 (x) lie on y = x only.
- This statement is false. The points of intersection of y = f (x) and y = f - 1 (x) lie on y = x only when f(x) = x.
Statement-2:
- The statement says that if point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f - 1 (x).
- This statement is true. If P (α, β) lies on y = f (x), then the point Q (β, α) will lie on y = f - 1 (x) because the coordinates are swapped.
Therefore, the correct answer is option 'D' - Statement-1 is False, Statement-2 is True.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?
Question Description
Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?.
Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Statement-1 All points of intersection of y = f (x) & y = f – 1 (x) lies on y = x only.Statement-2 If point P (α, β) lies on y = f (x) then Q (β, α) lies on y = f – 1 (x).a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup