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PASSAGE - 1
If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.
Consider f(x) = kex – x for all real x where k is a real constant.
Q. The line y = x meets y = kex for k < 0 at
  • a)
    no point
  • b)
    one point
  • c)
    two points
  • d)
    more than two points
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
PASSAGE - 1If a continuous function f defined on the real line R, assu...
For k = 0, line y = x meets y = 0, i.e., x-axis only at one point.
For k < 0, y = kex meets y = x only once as shown in the graph.
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PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. Can you explain this answer?
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PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. 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 PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. 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 PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice PASSAGE - 1If a continuous function f defined on the real line R, assumes positive and negative values in R then the equation f(x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f(x) = 0 has a root in R.Consider f(x) = kex – x for all real x where k is a real constant.Q.The line y = x meets y = kex for k < 0 ata)no pointb)one pointc)two pointsd)more than two pointsCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
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