Question:
If $f(x)= 3\sqrt{(x-2)}+\sqrt{4-x }$ If minimum value = α Maximum value = β find $α2 + β2 $.
If $f(x)= 3\sqrt{(x-2)}+\sqrt{4-x }$ If minimum value = α Maximum value = β find $α2 + β2 $.
Updated On: Nov 3, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 22
Solution and Explanation
The correct answer is 22.
Was this answer helpful?
1
6
Top Questions on Relations and functions
- Consider a set \( S = \{a, b, c, d\} \). Then the number of reflexive as well as symmetric relations from \( S \to S \) is:
- JEE Main - 2026
- Mathematics
- Relations and functions
- Let \( A = \{-2,-1,0,1,2,3,4\} \) and \( R \) be a relation such that \[ R=\{(x,y): 2x+y \le -2,\ x\in A,\ y\in A\}. \] Let
\( l \) = number of elements in \( R \),
\( m \) = minimum number of elements to be added to \( R \) to make it reflexive,
\( n \) = minimum number of elements to be added to \( R \) to make it symmetric. Then \( (l+m+n) \) is:- JEE Main - 2026
- Mathematics
- Relations and functions
Let \(M = \{1, 2, 3, ....., 16\}\), if a relation R defined on set M such that R = \((x, y) : 4y = 5x – 3, x, y (\in) M\). How many elements should be added to R to make it symmetric.
- JEE Main - 2026
- Mathematics
- Relations and functions
- If set $A$ has 3 elements and set $B$ has 4 elements, then the number of injective mappings from $A$ to $B$ is
- IPU CET - 2025
- Mathematics
- Relations and functions
- Let A = \{1, 2, 3\}. Then, the number of relations containing (1, 2) and (1, 3), which are reflexive and symmetric but not transitive, is
- CUET (UG) - 2025
- Mathematics
- Relations and functions
View More Questions
Questions Asked in JEE Main exam
- In the given situation, the force at the center on 1 kg mass is \( F_1 \). Now if \( 4m \) and \( 3m \) are interchanged, the force is \( F_2 \). Given \( \frac{F_1}{F_2} = \frac{2}{\sqrt{\alpha}} \), find \( \alpha \).
- JEE Main - 2026
- Gravitation
- Find correct order of acidic strength in the following reaction products \(P, Q, R \& S\):
- JEE Main - 2026
- Organic Chemistry
- An organic compound (A) undergoes the following reactions:
- JEE Main - 2026
- Organic Chemistry
- Consider the following statements for [Ni(dmg)$_2$]: (A) It is a red coloured compound.
(B) It is readily soluble in water at pH = 9.
(C) Central metal ion has two unpaired electrons.
(D) It has four, 5-membered metal containing rings.
- JEE Main - 2026
- coordination compounds
- Select correct option :
- JEE Main - 2026
- coordination compounds
View More Questions