Consider the statement- x - - x - y - - y for all x- y with 0 - x - y - 1- The above statement is true for what condition below-

The correct option is A if and only if α≥ 2 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Chain Rule of Differentiation

Consider the ...

Question

Consider the statement: $x (α - x) < y (α - y)$ for all $x, y$ with $0 < x < y < 1$ .
The above statement is true for what condition below?

if and only if

α \geq 2

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

if and only if

α > 2

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

if and only if

α < - 1

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

for no values of

α

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

Open in App

Solution

Suggest Corrections

Similar questions

α

x

y

x \neq y

\frac{x^{α + 2} + y^{α + 2}}{x^{α + 1} + y^{α + 1}}

\begin{matrix} x + (sin α) y + (cos α) z = 0 x + (cos α) y + (sin α) z = 0 - x + (sin α) y - (cos α) z = 0 \end{matrix}

α

π

∣ ∣ ∣ ∣ \begin{matrix} sin x & cos x & cos x cos x & sin x & cos x cos x & cos x & sin x \end{matrix} ∣ ∣ ∣ ∣ = 0

- \frac{π}{4} < x < \frac{π}{4} .

Which of the following statements are correct?

1 . if sin θ = sin α ⇒ θ = nπ + $(- 1)^{n}$ α where α ∈ [ - $\frac{π}{2}$ , $\frac{π}{2}$ ] n ∈ I

2 . if cos θ = cos α ⇒ 2nπ±α where α ∈ [0,π] n ∈ I

3 . if tan θ = tan α ⇒ θ = nπ + α where α ∈ (- $\frac{π}{2}$ , $\frac{π}{2}$ ) n ∈ I

α x - y - z = α - 1, x - α y - z = α - 1, x - y - α z = α - 1

α

α x + y + z = α - 1, x + α y + z = α - 1, x + y + α z = α - 1

α

Join BYJU'S Learning Program