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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?
Consider the following statements- 1. Right to Vote is a legal right and not a fundamental right 2. Right to Property is not a fundamental right. 3. Article 300-A was inserted in the Constitution of India by the 44th constitutional amendment. 4. Article 301 pertains to the Right to Property Which of the statements given above is/are correct?
Which of the following statement/s about Fundamental Duties is/are not correct? (i) The Fundamental Duties are incorporated in Article 51A (Part IVA) of Constitution. (ii) The Fundamental Duties were inserted in the Constitution by the 42nd Constitution Amendment Act, 1976. (iii) The Fundamental Duties have to be fulfilled by every person living in India. (iv) The eleventh Fundamental Duty was added by the 86th Constitution Amendment Act, 2006. Choose the correct answer from the code given below :
Which of the following statement/s about Fundamental Duties is/are not correct?
1. The Fundamental Duties are incorporated in Article 51A (part IVA) of Consitution.
2. The Fundamental Duties are inserted in the Constitution by the 42nd Constitution Amendment Act, 1976.
3. The Fundamental Duties have to be fulfilled by every person living in India.
4. The eleventh Fundamental Duty was added by the 86th Constitution Amendment Act, 2006.
Choose the correct answer:
Which of the following statements regarding the fundamental Duties contained in the Constitution of India are correct? Fundamental duties can be enforced through writ jurisdiction. Fundamental duties have formed a part of the constitution since its adoption. Fundamental duties became a part of the Constitution in accordance with the recommendations of the Swaran Singh Committee. Fundamental duties are applicable only to the citizens of India. Select the correct option-
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 :
Which of the following statements is/are correct? 1. Fundamental rights can be suspended at the will of the President. 2. The inclusion of Fundamental Rights in the Constitution was first supported in the Nehru Report. 3. The Constitution empowers the courts to enforce the fundamental right. 4. Fundamental rights can be suspended in emergency time. Select the correct code from below.