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Let   be continuous functions which are twice differentiable on the interval (-1, 2). Let the
values of f and g at the points -1, 0 and 2 be as given in the following table:
In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correct
statement(s) is(are)
  • a)
     has exactly three solutions in  
  • b)
      has exactly one solution in (?1, 0)
  • c)
     has exactly one solution in (0, 2)
  • d)
     has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)
Correct answer is option 'B,C'. Can you explain this answer?
Most Upvoted Answer
Let be continuous functions which are twice differentiable on the inte...
(f-3g)" never vanishes in (-1,0)U(0,2)
=> f-3g has no inflection point in these intervals
=> f-3g is either concave upwards or downwards in (-1,0) and either concave upwards or downwards in (0,2)
=> f'-3g'=0 has only one solution in (-1,0) and only one solution in (0,2)
So, correct answer is B,C.
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Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,C'. Can you explain this answer?
Question Description
Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,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 Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,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 Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,C'. Can you explain this answer?.
Solutions for Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,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 Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,C'. Can you explain this answer?, a detailed solution for Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,C'. Can you explain this answer? has been provided alongside types of Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let be continuous functions which are twice differentiable on the interval (-1, 2). Let thevalues of f and g at the points -1, 0 and 2 be as given in the following table:In each of the intervals (-1, 0) and (0, 2) the function (f - 3g)" never vanishes. Then the correctstatement(s) is(are)a)has exactly three solutions in b)has exactly one solution in (?1, 0)c)has exactly one solution in (0, 2)d)has exactly two solutions in (-1, 0) and exactly two solutions in (0, 2)Correct answer is option 'B,C'. Can you explain this answer? tests, examples and also practice JEE tests.
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