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The line graph L(G) of a simple graph G is defined as follows: There is exactly one vertex v(e) in L(G) for each edge e in G. For any two edges e and e' in G, L(G) has an edge between v(e) and v(e'), if and only if e and e' are incident with the same vertex in G. Which of the following statements is/are TRUE? (P) The line graph of a cycle is a cycle. (Q) The line graph of a clique is a clique. (R) The line graph of a planar graph is planar. (S) The line graph of a tree is a tree.
The translatory motion of an object moving on a smooth surface is represented by following distance - time Graph. What can be inferred from the graph? I. No force is required to keep the object in motion. II. The speed-time graph of the object is a straight line parallel to the time axis. III. The acceleration of the object is zero.
A group of 74 students of Class XI went on picnic. The number of students who went on picnic by each section is as follows: Section A = 15 Section B = 24 Section C = 15 Section D = 20 5 students from Section A spent as much as 4 students from Section B. 12 Section B students spent as much as 9 Section C students and 6 Section C students spent as much as 8 Section D student. If every student of a particular section spent the same amount and all the students spent Rs. 23,370 altogether, find the amount spent by each student of Section D?
Last year, there were three sections in a competitive exam. Out of them 33 students cleared the cut-off in Section A, 34 students cleared the cut-off in Section B and 32 students cleared the cut-off in Section C. 10 students cleared the cut-off in section A and section B, 9 cleared the cut-off in section B and section C and 8 cleared the cut-off in section A and section C. The number of students who cleared only one section was equal and was 21 for each section. How many students cleared all the three sections?
Velocity of a man is 25 units in the positive X direction and 75 units in negative Y direction starting from the origin. Velocity of a woman is 25 units in the positive Y direction and 75 units in the negative X direction starting from the origin. What is the relative velocity of the man with respect to the woman?
In which section of the following velocity-versus-time graph is the object speeding up and moving in the negative direction?
Consider the following statements:
1. Section 34 of Indian Penal Code requires two persons whereas Section 149 of Indian Penal Code require five persons.
2. Section 34 of Indian Penal Code requires common intention, whereas Section 149 of Indian Penal Code requires common object
3. Section 34 of Indian Penal Code and Section 149 of Indian Penal Code both require presence of a prior consent
4. Section 34 of Indian Penal Code and section 149 of Indian Penal Code. Both create specific offence
Which of the above statements are correct?
Which of the following distinguishes section 34 of Indian Penal Code from section 149, Indian Penal Code?
1. Section 149 creates a substantive offence whereas section 34 does not create an offence.
2. Section 149 requires common object whereas section 34 requires common intention.
3. Section 149 requires five or more persons whereas section 34 requires two or more persons.
Select the correct answer:
Carefully read following statements:
1. According to Section 34 of Indian Penal Code, requirement is of two persons, whereas under Section 149 of Indian Penal Code, requirement is of five persons.
2. According to Section 34 of Indian Penal Code, common intention is required whereas under Section 149 Indian Penal Code, common object is required
3. Previous consent is required under Section 34 & 149 of Indian Penal Code
4. Section 34 of Indian Penal Code and Section 149 of Indian Penal Code constitutes a specific offence
Which of the above statements is true:
If the graph plotted between displacement versus time of a moving object is a straight line parallel to the time axis then the acceleration of the moving object will be