Select Goal &
City
Select Goal
Explore
Question:
The set of all a∈ R for which the equation x|x-1|+|x-2|+a=0 has exactly one real root is
The set of all a∈ R for which the equation x|x-1|+|x-2|+a=0 has exactly one real root is
Updated On: Jun 18, 2024
- (-∞,-3)
- (-6,∞)
- (-∞,∞)
- (-6,-3)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is(C): (-∞,∞)
Was this answer helpful?
0
6
Top Questions on types of sets
- Let S be the set of values of λ, for which the system of equations
6λx – 3y + 3z = 4λ2 ,
2x + 6ly + 4z = 1,
3x + 2y + 3λz = l has no solution. Then 12\( ∑ _{λ ∈ S}\) | λ | 12 ∑ λ ∈ | λ | is equal to ________ .- JEE Main - 2023
- Mathematics
- types of sets
- Two sets $A$ and $B$ are as under: $A = \{(a, b) \in R \times R : |a - 5| < 1$ and $|b - 5| < 1\} $; $B = \{(a, b) \in R \times R : 4(a - 6)2 + 9(b - 5)^2 \leq 36\}$. Then
- JEE Main - 2018
- Mathematics
- types of sets
- The number of all three elements subsets of the set $\{a_1, a_2, a_3 . . . a_n\}$ which contain $a_3$ is
- BITSAT - 2014
- Mathematics
- types of sets
- The number of proper subsets of a set having $n + 1$ elements is
- COMEDK UGET - 2014
- Mathematics
- types of sets
- The number of subsets of $\{1, 2, 3 ,............,9\}$ containing at least one odd number is
- EAMCET - 2009
- Mathematics
- types of sets
View More Questions
Questions Asked in JEE Main exam
- Let \[\vec{a} = \hat{i} + \hat{j} + \hat{k}, \quad \vec{b} = -\hat{i} - 8\hat{j} + 2\hat{k}, \quad \text{and} \quad \vec{c} = 4\hat{i} + c_2\hat{j} + c_3\hat{k} \]be three vectors such that \[\vec{b} \times \vec{a} = \vec{c} \times \vec{a}.\]If the angle between the vector $\vec{c}$ and the vector $3\hat{i} + 4\hat{j} + \hat{k}$ is $\theta$, then the greatest integer less than or equal to $\tan^2 \theta$ is:
- JEE Main - 2024
- Vector Algebra
- 10 mL of gaseous hydrocarbon on combustion gives 40 mL of CO\(_2\)(g) and 50 mL of water vapour. The total number of carbon and hydrogen atoms in the hydrocarbon is ______ .
- JEE Main - 2024
- Hydrocarbons
- If each term of a geometric progression \( a_1, a_2, a_3, \dots \) with \( a_1 = \frac{1}{8} \) and \( a_2 \neq a_1 \), is the arithmetic mean of the next two terms and \( S_n = a_1 + a_2 + \dots + a_n \), then \( S_{20} - S_{18} \) is equal to
- JEE Main - 2024
- Arithmetic Mean
A body of mass 1000 kg is moving horizontally with a velocity of 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is:
- JEE Main - 2024
- speed and velocity
- $\textbf{Choose the correct statements about the hydrides of group 15 elements.}$
A. The stability of the hydrides decreases in the order \(\text{NH}_3 > \text{PH}_3 > \text{AsH}_3 > \text{SbH}_3 > \text{BiH}_3\)
B. The reducing ability of the hydrides increases in the order \(\text{NH}_3 < \text{PH}_3 < \text{AsH}_3 < \text{SbH}_3 < \text{BiH}_3\)
C. Among the hydrides, \(\text{NH}_3\) is a strong reducing agent while \(\text{BiH}_3\) is a mild reducing agent.
D. The basicity of the hydrides increases in the order \(\text{NH}_3 < \text{PH}_3 < \text{AsH}_3 < \text{SbH}_3 < \text{BiH}_3\)
Choose the most appropriate from the option given below:- JEE Main - 2024
- p -Block Elements
View More Questions
SUBSCRIBE TO OUR NEWS LETTER
COLLEGE NOTIFICATIONSEXAM NOTIFICATIONSNEWS UPDATES
Download the Collegedunia app on 
© 2024 Collegedunia Web Pvt. Ltd. All Rights Reserved