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When two roots of quadratic equations are α and 1/α then what will be quadratic equation.
- a)
- b)
- c)
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
When two roots of quadratic equations are α and 1/αthen wh...
THE FORMAULA IS
x²-(@+b)x+(@*b)=0
here,@=a & b=1/a
x²-(a+1/a)+(a(1/a))=0
x²-((a²+1)/a)x+1=0
ax² - (a²+1)x + a=0
Therefore , "A" is correct answer
x²-(@+b)x+(@*b)=0
here,@=a & b=1/a
x²-(a+1/a)+(a(1/a))=0
x²-((a²+1)/a)x+1=0
ax² - (a²+1)x + a=0
Therefore , "A" is correct answer
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Community Answer
When two roots of quadratic equations are α and 1/αthen wh...
In the question they have given that the 2 roots are Alpha and 1/Alpha
Here C = A as they the roots are reciprocal of the other...
When the sum and product is calculated you get -
Sum = Alpha + Beta
=Alpha + 1/Alpha
= Alpha² + 1
Product = Alpha × Beta
= Alpha × 1/Alpha
= 1
As per the construction of the Equation the format is X²- (sum of the roots) x + Product of the roots = 0
Thus, AlphaX² - (Alpha²+1)X + Alpha = 0
Note*- C= A
Here C = A as they the roots are reciprocal of the other...
When the sum and product is calculated you get -
Sum = Alpha + Beta
=Alpha + 1/Alpha
= Alpha² + 1
Product = Alpha × Beta
= Alpha × 1/Alpha
= 1
As per the construction of the Equation the format is X²- (sum of the roots) x + Product of the roots = 0
Thus, AlphaX² - (Alpha²+1)X + Alpha = 0
Note*- C= A
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When two roots of quadratic equations are α and 1/αthen what will be quadratic equation.a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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When two roots of quadratic equations are α and 1/αthen what will be quadratic equation.a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about When two roots of quadratic equations are α and 1/αthen what will be quadratic equation.a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When two roots of quadratic equations are α and 1/αthen what will be quadratic equation.a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
When two roots of quadratic equations are α and 1/αthen what will be quadratic equation.a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about When two roots of quadratic equations are α and 1/αthen what will be quadratic equation.a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When two roots of quadratic equations are α and 1/αthen what will be quadratic equation.a)b)c)d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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