CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Properties of Inequalities

For k /=0, if...

Question

For $k \neq 0$ , if $x > y$ , then the inequality which is not always correct is

A

x + k > y + k

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

x - k > y - k

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

k x > k y

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

\frac{x}{k^{2}} > \frac{y}{k^{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $k x > k y$
$x > y$
$\Rightarrow k x > k y$ if $k > 0$
$x > y$
$\Rightarrow k x < k y$ if $k < 0$
so only incorrect option is option $(c)$

Suggest Corrections

thumbs-up

0

Similar questions

k \neq 0

x > y

, then the inequality which is not always correct is

Q. The system of equations

k x + y + z = 1

x + k y + z = k

x + y + k z = k^{2}

has no solution if

k

Q. Assertion :Consider the system of the equations

k x + y + z = 1, x + k y + z = k, x + y + k z = k^{2}

. System of equations has infinite solutions when

k = 1

Reason: If the determinant

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 & 1 k & k & 1 k^{2} & 1 & k \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

k = - 1

x + y + z + k = 0

touches the sphere

x^{2} + y^{2} + z^{2} = k^{2}

k \neq 0

Q. The number of the points in the cartesian plane with integral coordinates satisfying the inequalities

| x | \leq k

| y | \leq k

| x - y | \leq k

(

k \in N)

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Properties of Inequalities

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon