Practice30 Create account

What relation holds between $x$ and $y$ if I. $x^{2} - 5 x + 4 = 0$
II. $y^{2} - 10 y + 24 = 0$ ?

Competition practiceQuadratic Comparison

A $x$ ≤ $y$
B $x < y$
C $x$ ≥ $y$
D $x = y$

Step-by-Step Solution

I:

(x - 1) (x - 4) = 0

, so

x = 1

or 4. II:

(y - 4) (y - 6) = 0

, so

y = 4

or 6. The largest

x

(4) equals the smallest

y

(4), so

x

≤

y

.

Answer: A)

x

≤

y

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Quadratic Comparison practice questions

More Quadratic Comparison practice

If I. x² − 7x + 10 = 0 II. y² − 19y + 84 = 0, what is the relation between x and y?In the two equations, I. x² − 5x + 6 = 0 II. y² − 3y + 2 = 0, find the relation between…In the two equations, I. 2x² − 9x + 10 = 0 II. y² − 6y + 8 = 0, find the relation…In the two equations, I. x² − 19x + 90 = 0 II. y² − 13y + 42 = 0, find the relation…In the two equations, I. x² − 14x + 48 = 0 II. y² − 10y + 24 = 0, find the relation…