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α, β are the real roots of a1x2 + b1x + c1 = 0; γ, δ are the real roots of a2x2 + b2x + c2 = 0; D1 = b12 – 4a1c1, and D2 = b22 – 4a2c2.
Statement-1 : If α, β, γ, δ are in H.P., then D1 : D2 : : c12 : c22
Statement-2 : If α, β, γ, δ  are in A.P., then D1 : D2 : : a12 : a22
  • 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 'B'. Can you explain this answer?
Verified Answer
α, βare the real roots of a1x2+ b1x + c1= 0; γ, &delt...
Statment -2   ⇒ 
⇒ 
⇒  ⇒ 
Statment-1 
∴ ⇒  
⇒ 
Statement-1 and statement-2 both are correct.but not each other's correct explanations.
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α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. Can you explain this answer?
Question Description
α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. 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 α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. Can you explain this answer?.
Solutions for α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. 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 α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. Can you explain this answer?, a detailed solution for α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. Can you explain this answer? has been provided alongside types of α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice α, βare the real roots of a1x2+ b1x + c1= 0; γ, δare the real roots of a2x2+ b2x + c2= 0; D1= b12– 4a1c1, andD2= b22– 4a2c2.Statement-1 : If α, β, γ, δare in H.P., then D1: D2: : c12: c22Statement-2 : If α, β, γ, δ are in A.P., then D1: D2: : a12: a22a)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 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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