Statement 1: If and are two distinct solutions of the equation a x+b x=c, then ( + 2 ) is independent of c. Statement 2: A solution of a x+b x=c is possible if - a^2+b^2 c a^2+b^2 .

JEE Main Mathematics question

Not in JEE Main syllabus

Statement 1: If and are two distinct solutions of the equation , then is independent of . Statement 2: A solution of is possible if .

(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 1Correct
(C)Statement 1 is True, Statement 2 is False
(D)Statement 1 is False, Statement 2 is True

Answer: (B)

Solution

Statement 2 is the standard solvability condition and is TRUE. Statement 1: subtracting the two equations and gives . Converting to products and dividing by

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Question ID VK-008022