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Let s,t,r be non-zero complex numbers and L be the set of solutions 
of the equation 
Then, which of the following statement(s) is (are) TRUE?
of the equation Then, which of the following statement(s) is (are) TRUE?- a)If L has exactly one element, then |s| ≠ |t|
- b)If |s| = |t| then L has infinitely many elements
- c)The number of elements in
- d)If L has more than one element, then L has infinitely many elements
Correct answer is option 'A,C,D'. Can you explain this answer?
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Verified Answer
Let s,t,r be non-zero complex numbers and L be the set of solutionsof ...
(A) The given condition is,
...(1)
Take conjugate on both sides as shown below,
...(2)
Add equations (1) and (2),
Subtract equation (1) from (2),
The condition for unique solution is given as,
...(A)
Simplify further.
Hence, option (A) is correct.
(B) The conditions for the lines to coincide is,
...(B)
On comparing equation (A) and equation (B),
It is clear that the lines are either parallel or coincidental. Thus, there is no concrete outcome.
Hence, option (B) is not correct.
(C) It is clear that L is either a single line or it represents a circle.
The intersection of L is atmost 2 .
Hence, option (C) is correct.
(D)
Assume,
The L will have ∞ elements if L has more than 1 element.
Thus, option (D) is correct.
...(1)Take conjugate on both sides as shown below,
...(2)Add equations (1) and (2),
Subtract equation (1) from (2),
The condition for unique solution is given as,
...(A)Simplify further.
Hence, option (A) is correct.
(B) The conditions for the lines to coincide is,
...(B)On comparing equation (A) and equation (B),
It is clear that the lines are either parallel or coincidental. Thus, there is no concrete outcome.
Hence, option (B) is not correct.
(C) It is clear that L is either a single line or it represents a circle.
The intersection of L is atmost 2 .
Hence, option (C) is correct.
(D)
Assume,
The L will have ∞ elements if L has more than 1 element.
Thus, option (D) is correct.
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Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,D'. Can you explain this answer?
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Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,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 Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,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 Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,D'. Can you explain this answer?.
Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,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 Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,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 Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,D'. Can you explain this answer?.
Solutions for Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,D'. Can you explain this answer?, a detailed solution for Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,D'. Can you explain this answer? has been provided alongside types of Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let s,t,r be non-zero complex numbers and L be the set of solutionsof the equationThen, which of the following statement(s) is (are) TRUE?a)If L has exactly one element, then |s| ≠ |t|b)If |s| = |t| then L has infinitely many elementsc)The number of elements ind)If L has more than one element, then L has infinitely many elementsCorrect answer is option 'A,C,D'. Can you explain this answer? tests, examples and also practice JEE tests.
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