Related Questions

If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
\(\underline{X}\) is the largest gland in our body. It secretes \(\underline{Y}\) which is stored in \(\underline{Z}\). X, Y, Z are respectively
The following sentences form a paragraph. The sentences are numbered as P, Q, R, S and T. These sentences are not given in their proper order. Read the sentences and out of the five alternatives,  choose the right option that correctly arranges the sentences in the correct sequence.  Though the speech as a whole is captivating and edifying, his saying “women are not meant for appeasing her near and dear ones, they have their individuality and identity and they themselves should be aware of this fact.”  In his speech, he stresses on education, health, women empowerment and child care.  Rightly this speech is gaining popularity and is spreading like a wildfire.  But the question remains whether the widespread circulation of this speech be equally complemented with its objective of comprehensive awareness.  In a speech uploaded in the internet, we see our school teacher Rambabu addressing the masses from a stage.
Read the passage carefully and choose the best answer to each question out of the four alternatives.
Eight north Indian Ocean countries, namely, Bangladesh, India, the Maldives, Myanmar, Oman, Pakistan, Sri Lanka and Thailand, were asked to contribute names so that a combined list could be compiled. Each country gave eight names and a combined list of 64 names was prepared. This list is currently in use, and all cyclones arising in the north Indian Ocean are named from this list, with one name from each country being used in turn. Almost 38 or 39 names from the list have been used up, but since many cyclones dissipate long before they hit land, their names rarely figure in the papers or other media. The names that people do know about, and remember are, naturally, those that were most destructive ones, or very recent. Aila, in 2009 is remembered with a shudder for the enormous destruction it caused in West Bengal and Bangladesh; Phaillin, also for the damage it caused when it hit the Odisha coast in 2013. Two harmless cyclones, which also might remain in peoples memory, are the more recent ones of 2014 — Hudhud, which threatened the east coast of India and Nilofar, which was expected to, but did not, devastate the western coast. The names in the cyclone list are usually words one associates with storms; words which mean water or wind or lightning in various national languages. Sometimes they are names of other things — birds or flowers or precious stones. The name Aila, contributed by the Maldives means fire, the name Phaillin from Thailand means sapphire, the name Hudhud from Oman is the name of a bird, probably the hoopoe, and the name Nilofar, given by Pakistan, is the Urdu name of the lotus or water lily. The eight names suggested by India, and which are in the list of 64, are Agni, Akaash, Bijli, Jal, Leher, Megh, Sagar and Vayu, meaning in that order, fire, sky, lightning, water, wave, cloud, sea and wind. Five of these names (that is, up to Leher) have been used so far.
For the next cyclone if it is the turn of an Indian name to be chosen, then what will be that name?
The Hamiltonian of a particle is given by $$H = \frac{{{p^2}}}{{2m}} + V\left( {\left| {\overrightarrow {\bf{r}} } \right|} \right) + \phi \left( { + \left| {\overrightarrow {\bf{r}} } \right|} \right)\overrightarrow {\bf{L}} .\overrightarrow {\bf{S}} ,$$        where $$\overrightarrow {\bf{S}} $$ is the spin, $$V\left( {\left| {\overrightarrow {\bf{r}} } \right|} \right)$$  and $$\phi \left( {\left| {\overrightarrow {\bf{r}} } \right|} \right)$$  are potential functions and $$\overrightarrow {\bf{L}} \left( { = \overrightarrow {\bf{r}} \times \overrightarrow {\bf{p}} } \right)$$   is the angular momentum. The Hamiltonian does not commute with
The value of the expression $$\frac{{{{\left( {a - b} \right)}^2}}}{{\left( {b - c} \right)\left( {c - a} \right)}} + $$   $$\frac{{{{\left( {b - c} \right)}^2}}}{{\left( {a - b} \right)\left( {c - a} \right)}} + $$    $$\frac{{{{\left( {c - a} \right)}^2}}}{{\left( {a - b} \right)\left( {b - c} \right)}}$$   = ?
$$\frac{{{{\left( {4.53 - 3.07} \right)}^2}}}{{\left( {3.07 - 2.15} \right)\left( {2.15 - 4.53} \right)}} + \, $$     $$\frac{{{{\left( {3.07 - 2.15} \right)}^2}}}{{\left( {2.15 - 4.53} \right)\left( {4.53 - 3.07} \right)}} + \,\, $$     $$\frac{{{{\left( {2.15 - 4.53} \right)}^2}}}{{\left( {4.53 - 3.07} \right)\left( {3.07 - 2.15} \right)}}$$     is simplified to :
PRINCIPLES: 1. Nothing is an offence which is done in the exercise of the right of private defense.
2. When an act, which would otherwise be a certain offence, is not that offence, by reason of the youth, the want of maturity of understanding, the unsoundness of mind or the intoxication of that person or by reason of misconception on the part of that person, every person has the same right of private defense against that act, which he would have if that act were an offence.
3. Everyone has the right to defend their life and property against criminal harm provided it is not possible to approach public authorities and more harm than that is necessary has not been caused to avert the danger.
4. If in the exercise of right of private defense against an assault which reasonably causes the apprehension of death, the defender be so situated that he cannot effectually exercise that right without risk of harm to an innocent person, his right of private defense extends to the running of that risk.
5. The right of private defense continues as long as apprehension of danger continues.
FACT: A enters by night a house which he is legally entitled to enter. Z, in good faith, taking A for a housebreaker, attacks A.
Read the passage carefully and choose the best answer to each question out of the four alternatives.
Eight north Indian Ocean countries, namely, Bangladesh, India, the Maldives, Myanmar, Oman, Pakistan, Sri Lanka and Thailand, were asked to contribute names so that a combined list could be compiled. Each country gave eight names and a combined list of 64 names was prepared. This list is currently in use, and all cyclones arising in the north Indian Ocean are named from this list, with one name from each country being used in turn. Almost 38 or 39 names from the list have been used up, but since many cyclones dissipate long before they hit land, their names rarely figure in the papers or other media. The names that people do know about, and remember are, naturally, those that were most destructive ones, or very recent. Aila, in 2009 is remembered with a shudder for the enormous destruction it caused in West Bengal and Bangladesh; Phaillin, also for the damage it caused when it hit the Odisha coast in 2013. Two harmless cyclones, which also might remain in peoples memory, are the more recent ones of 2014 — Hudhud, which threatened the east coast of India and Nilofar, which was expected to, but did not, devastate the western coast. The names in the cyclone list are usually words one associates with storms; words which mean water or wind or lightning in various national languages. Sometimes they are names of other things — birds or flowers or precious stones. The name Aila, contributed by the Maldives means fire, the name Phaillin from Thailand means sapphire, the name Hudhud from Oman is the name of a bird, probably the hoopoe, and the name Nilofar, given by Pakistan, is the Urdu name of the lotus or water lily. The eight names suggested by India, and which are in the list of 64, are Agni, Akaash, Bijli, Jal, Leher, Megh, Sagar and Vayu, meaning in that order, fire, sky, lightning, water, wave, cloud, sea and wind. Five of these names (that is, up to Leher) have been used so far.
Which name suggested by India has not been used so far?