Home › IBPS RRB › Quantitative Aptitude › Quadratic Equations › If x² − 6x + 9 = 0 and y² − 3y − 18 = 0, what is…
If x² − 6x + 9 = 0 and y² − 3y − 18 = 0, what is the relation between x and y?
Ax is always greater than y
Bx is always less than y
Cx and y have no fixed relation
Dx is always equal to y
Answer & Solution
Correct answer: C. x and y have no fixed relation
1. x² − 6x + 9 = (x − 3)² = 0 ⇒ x = 3.
2. y² − 3y − 18 = (y − 6)(y + 3) = 0 ⇒ y = 6 or y = −3.
3. Against x = 3: y = 6 gives x < y, but y = −3 gives x > y — so **no fixed relation** holds.
_Source: IBPS RRB Officer Scale I Prelims PYQ (Examrace), Q.42_
Related questions
If x² − 9 = 0, then x =Roots of x² − 5x + 6 = 0 are:Two times a number, added to the square of that number, gives 3. What could the number be?If 4x² + 12x + 9 = 0 and 2y² + 11y + 14 = 0, establish the relation between x and y.If x² − 15x + 56 = 0 and y = √64, establish the relation between x and y.The area of a rectangle is 60 sq cm and length exceeds breadth by 4 cm. Breadth isSolve by completing the square: x^2 + 6x + 5 = 0. Roots areIf alpha and beta are roots of x^2 - 7x + 10 = 0, then alpha + beta + alpha*beta equals