In each of these questions, a pair of graphs \( F(x) \) and \( F1(x) \) is given. These are composed of straight-line segments, shown as solid lines, in the domain \( x \in (-2, 2) \).
If \( F1(x) = F(x) \), choose the answer as 1; if \( F1(x) = -F(x) \), choose the answer as 2; if \( F1(x) = F(-x) \), choose the answer as 3; and if none of the above is true, choose the answer as 4.
Show Hint
- a
- b
- c
- d
The Correct Option is B
Solution and Explanation
Show Hint
- a
- b
- c
- d
The Correct Option is B
Solution and Explanation
Show Hint
- a
- b
- c
- d
The Correct Option is A
Solution and Explanation
Show Hint
- a
- b
- c
- d
The Correct Option is C
Solution and Explanation
Top Questions on Graph Theory
Suppose a minimum spanning tree is to be generated for a graph whose edge weights are given below. Identify the graph which represents a valid minimum spanning tree?
\[\begin{array}{|c|c|}\hline \text{Edges through Vertex points} & \text{Weight of the corresponding Edge} \\ \hline (1,2) & 11 \\ \hline (3,6) & 14 \\ \hline (4,6) & 21 \\ \hline (2,6) & 24 \\ \hline (1,4) & 31 \\ \hline (3,5) & 36 \\ \hline \end{array}\]
Choose the correct answer from the options given below:
- CUET (PG) - 2025
- Data Science
- Graph Theory
Match LIST-I with LIST-II
Choose the correct answer from the options given below:
- CUET (PG) - 2025
- Data Science
- Graph Theory
- A graph is self-complementary if it is isomorphic to its complement. For all self-complementary graphs on n vertices, \( n \) is _______.
- Dijkstra's algorithm fails for graphs with _______.
- Assume G is a simple undirected graph and some vertices of G are of odd degree. Add a node \( v \) to G and make it adjacent to each odd degree vertex of G, then the resultant graph is sure to be _______.
Questions Asked in CAT exam
- Let $x$, $y$, and $z$ be real numbers satisfying
\(4(x^2 + y^2 + z^2) = a,\)
\(4(x - y - z) = 3 + a.\)
Then $a$ equals ?- CAT - 2024
- Algebra
- The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is
- CAT - 2024
- Logarithms
- ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of \(\triangle ADE\) is
- CAT - 2024
- Mensuration
When $10^{100}$ is divided by 7, the remainder is ?
- CAT - 2024
- Basics of Numbers
- If $(a + b\sqrt{n})$ is the positive square root of $(29 - 12\sqrt{5})$, where $a$ and $b$ are integers, and $n$ is a natural number, then the maximum possible value of $(a + b + n)$ is ?
- CAT - 2024
- Algebra