Does our blood have proteases and nucleases?
Question: Does our blood have proteases and nucleases? Solution: No, human blood does not include the enzymes, nucleases and proteases. In human beings, blood serum contains different types of protease inhibitors, which protect the blood proteins from being broken down by the action of proteases. The enzyme, nucleases, catalyses the hydrolysis of nucleic acids that is absent in blood....
Read More →Find the equation of the circle passing through (0, 0)
Question: Find the equation of the circle passing through (0, 0) and making interceptsaandbon the coordinate axes. Solution: Let the equation of the required circle be $(x-h)^{2}+(y-k)^{2}=r^{2}$. Since the circle passes through $(0,0)$, $(0-h)^{2}+(0-k)^{2}=r^{2}$ $\Rightarrow h^{2}+k^{2}=r^{2}$ The equation of the circle now becomes $(x-h)^{2}+(y-k)^{2}=h^{2}+k^{2}$. It is given that the circle makes interceptsaandbon the coordinate axes. This means that the circle passes through points (a, 0)...
Read More →Find out from internet what is golden rice.
Question: Find out from internet what is golden rice. Solution: Golden rice is a genetically modified variety of rice,Oryza sativa,which has been developedas a fortified food for areas where there is a shortage of dietary vitamin A. It contains a precursor of pro-vitamin A, called beta-carotene, which has been introduced into the rice through genetic engineering. The rice plant naturally produces beta-carotene pigment in its leaves. However, it is absent in the endosperm of the seed. This is bec...
Read More →Differentiate the function with respect to x.
Question: Differentiate the function with respect tox. $x^{x \cos x}+\frac{x^{2}+1}{x^{2}-1}$ Solution: Let $y=x^{x \cos x}+\frac{x^{2}+1}{x^{2}-1}$ Also, let $u=x^{x \cos x}$ and $v=\frac{x^{2}+1}{x^{2}-1}$ $\therefore y=u+v$ $\Rightarrow \frac{d y}{d x}=\frac{d u}{d x}+\frac{d v}{d x}$ ...(1) $u=x^{x \cos x}$ $\Rightarrow \log u=\log \left(x^{x \cos x}\right)$ $\Rightarrow \log u=x \cos x \log x$ Differentiating both sides with respect tox, we obtain $\frac{1}{u} \frac{d u}{d x}=\frac{d}{d x}(...
Read More →Write the condition to be satisfied by q so that a rational number
Question: Write the condition to be satisfied by $q$ so that a rational number $\frac{p}{q}$ has a terminating decimal expansion. Solution: We need to find the condition to be satisfied by $q$ so that a rational number $\frac{p}{q}$ has a non-terminating decimal expression. For the terminating decimal expression, we should not have a multiple of 10 in the denominator. Hence, the prime factorization of $q$ must not be of the form $2^{m} \times 5^{n}$, where $m$ and $n$ are non-negative integers....
Read More →Write the condition to be satisfied by q so that a rational number
Question: Write the condition to be satisfied by $q$ so that a rational number $\frac{p}{q}$ has a terminating decimal expansions. Solution: We need to find the condition to be satisfied by $q$ so that a rational number $\frac{p}{q}$ has a terminating decimal expression. For the terminating decimal expression, we should have a multiple of 10 in the denominator. Hence, the prime factorization of $q$ must be of the form $2^{m} \times 5^{n}$, where $m$ and $n$ are non-negative integers....
Read More →Can you suggest a method to remove oil (hydrocarbon) from seeds based on your understanding of rDNA technology and chemistry of oil?
Question: Can you suggest a method to remove oil (hydrocarbon) from seeds based on your understanding of rDNA technology and chemistry of oil? Solution: Recombinant DNA technology (rDNA) is a technique used for manipulating the genetic material of an organism to obtain the desired result. For example, this technology is used for removing oil from seeds. The constituents of oil are glycerol and fatty acids. Using rDNA, one can obtain oilless seeds by preventing the synthesis of either glycerol or...
Read More →If the product of two numbers is 1080 and their HCF is 30,
Question: If the product of two numbers is 1080 and their HCF is 30, find their LCM. Solution: It is given that the product of two numbers is 1080. Let the two numbers beaandb. Therefore, $a \times b=1080$ HCF is 30. We need to find the LCM We know that the product of two numbers is equal to the product of the HCF and LCM. Thus, $\mathrm{LCM}=\frac{a \times b}{\mathrm{HCF}}$ $\mathrm{LCM}=\frac{1080}{30}$ $\mathrm{LCM}=36$ Hence the LCM is 36...
Read More →Diagrammatically represent the experimental steps in cloning and expressing an human gene
Question: Diagrammatically represent the experimental steps in cloning and expressing an human gene (say the gene for growth hormone) into a bacterium likeE. coli? Solution: DNA cloning is a method of producing multiple identical copies of specific template DNA. It involves the use of a vector to carry the specific foreign DNA fragment into the host cell. The mechanism of cloning and transfer of gene for growth hormone intoE.coliis represented below....
Read More →If the product of two numbers is 1080 and their HCF is 30,
Question: If the product of two numbers is 1080 and their HCF is 30, find their LCM. Solution: It is given that the product of two numbers is 1080. Let the two numbers beaandb. Therefore, $a \times b=1080$ HCF is 30. We need to find the LCM We know that the product of two numbers is equal to the product of the HCF and LCM. Thus, $\mathrm{LCM}=\frac{a \times b}{\mathrm{HCF}}$ $\mathrm{LCM}=\frac{1080}{30}$ $\mathrm{LCM}=36$ Hence the LCM is 36...
Read More →What is gene therapy? Illustrate using the example of adenosine deaminase (ADA) deficiency.
Question: What is gene therapy? Illustrate using the example of adenosine deaminase (ADA) deficiency. Solution: Gene therapy is a technique for correcting a defective gene through gene manipulation. It involves the delivery of a normal gene into the individual to replace the defective gene, for example, the introduction of gene for adenosine deaminase (ADA) in ADA deficient individual. The adenosine deaminase enzyme is important for the normal functioning of the immune system. The individual suf...
Read More →If the prime factorization of a natural number n is
Question: If the prime factorization of a natural numbernis 23✕ 32✕ 52✕ 7, write the number of consecutive zeros inn. Solution: Since, it is given that $n=2^{3} \times 3^{2} \times 5^{2} \times 7$ $n=8 \times 9 \times 25 \times 7$ n=(7 \times 9 \times 2) \times(4 \times 25) $n=(7 \times 9 \times 2) \times 100$ $n=(7 \times 9 \times 2) \times 100$ $n=12600$ Hence the number of consecutive zeroes are2...
Read More →What are Cry proteins? Name an organism that produces it.
Question: What are Cry proteins? Name an organism that produces it. How has man exploited this protein to his benefit? Solution: Cry proteins are encoded by cry genes. These proteins are toxins, which are produced byBacillus thuringiensisbacteria. This bacterium contains these proteins in their inactive from. When the inactive toxin protein is ingested by the insect, it gets activated by the alkaline pH of the gut. This results in the lysis of epithelial cell and eventually the death of the inse...
Read More →Write the sum of the exponents of prime factors in the prime factorization of 98.
Question: Write the sum of the exponents of prime factors in the prime factorization of 98. Solution: Using the factor tree for prime factorization, we have: Therefore, $98=2 \times 7 \times 7$ $98=2 \times 7^{2}$ The exponents of 2 and 7 are 1 and 2 respectively. Hence the sum of the exponents is 3...
Read More →Differentiate the function with respect to x.
Question: Differentiate the function with respect tox. $x^{\sin x}+(\sin x)^{\cos x}$ Solution: Let $y=x^{\sin x}+(\sin x)^{\cos x}$ Also, let $u=x^{\sin x}$ and $v=(\sin x)^{\cos x}$ $\therefore y=u+v$ $\Rightarrow \frac{d y}{d x}=\frac{d u}{d x}+\frac{d v}{d x}$ ...(1) $u=x^{\sin x}$ $\Rightarrow \log u=\log \left(x^{\sin x}\right)$ $\Rightarrow \log u=\sin x \log x$ Differentiating both sides with respect tox, we obtain $\frac{1}{u} \frac{d u}{d x}=\frac{d}{d x}(\sin x) \cdot \log x+\sin x \c...
Read More →Find the equation of the circle with radius 5 whose centre
Question: Find the equation of the circle with radius 5 whose centre lies onx-axis and passes through the point (2, 3). Solution: Let the equation of the required circle be $(x-h)^{2}+(y-k)^{2}=r^{2}$. Since the radius of the circle is 5 and its centre lies on the $x$-axis, $k=0$ and $r=5$. Now, the equation of the circle becomes $(x-h)^{2}+y^{2}=25$. It is given that the circle passes through point $(2,3)$. $\therefore(2-h)^{2}+3^{2}=25$ $\Rightarrow(2-h)^{2}=25-9$ $\Rightarrow(2-h)^{2}=16$ $\R...
Read More →Compare and contrast the advantages and disadvantages of production of genetically modified crops.
Question: Compare and contrast the advantages and disadvantages of production of genetically modified crops. Solution: The production of genetically modified (GM) or transgenic plants has several advantages. (i)Most of the GM crops have been developed for pest resistance, which increases the crop productivity and therefore, reduces the reliance on chemical pesticides. (ii)Many varieties of GM food crops have been developed, which have enhanced nutritional quality. For example, golden rice is a t...
Read More →Write the exponent of 2 in the price factorization of 144.
Question: Write the exponent of 2 in the price factorization of 144. Solution: Using the factor tree for prime factorization, we have: Therefore, $144=2 \times 2 \times 2 \times 2 \times 3 \times 3$ $144=2^{4} \times 3^{2}$ Hence the exponent of 2 in 144 is 4...
Read More →What are transgenic bacteria? Illustrate using any one example.
Question: What are transgenic bacteria? Illustrate using any one example. Solution: Transgenic bacteria contain foreign gene that is intentionally introduced into its genome. They are manipulated to express the desirable gene for the production of various commercially important products. An example of transgenic bacteria isE.coli. In the plasmid ofE.coli, the two DNA sequences corresponding to A and B chain of human insulin are inserted, so as to produce the respective human insulin chains. Henc...
Read More →Write 98 as product of its prime factors.
Question: Write 98 as product of its prime factors. Solution: Using the factor tree for prime factorization, we have: Therefore, $98=2 \times 7 \times 7$ $98=2 \times 7^{2}$...
Read More →State Fundamental Theorem of Arithmetic.
Question: State Fundamental Theorem of Arithmetic. Solution: FUNDAMENTAL THEOREM OF ARITHMETIC: Every composite number can be expressed (factorised) as a product of primes, and this factorization is unique except for the order in which the prime factors occur. While writing a positive integer as the product of primes, if we decide to write the prime factors in ascending order and we combine the same primes, then the integer is expressed as the product of powers of primes and the representation i...
Read More →Find the equation of the circle passing through the points (2, 3)
Question: Find the equation of the circle passing through the points (2, 3) and (1, 1) and whose centre is on the linex 3y 11 = 0. Solution: Let the equation of the required circle be $(x-h)^{2}+(y-k)^{2}=r^{2}$. Since the circle passes through points (2, 3) and (1, 1), $(2-h)^{2}+(3-k)^{2}=r^{2} \ldots(1)$ $(-1-h)^{2}+(1-k)^{2}=r^{2} \ldots(2)$ Since the centre (h, k) of the circle lies on linex 3y 11 = 0, h 3k= 11 (3) From equations (1) and (2), we obtain $(2-h)^{2}+(3-k)^{2}=(-1-h)^{2}+(1-k)^...
Read More →State Euclid's division lemma.
Question: State Euclid's division lemma. Solution: Euclids Division Lemma: Letaandbbe any two positive integers. Then, there exist unique integersqandrsuch that $a=b q+r, 0 \leq rb$ If $b \mid a$ then $r=0$. Otherwise, $r$ satisfies the stronger inequality $0rb$....
Read More →Crystals of Bt toxin produced by some bacteria do not kill the bacteria themselves because −
Question: Crystals of Bt toxin produced by some bacteria do not kill the bacteria themselves because (a)bacteria are resistant to the toxin (b)toxin is immature: (c)toxin is inactive: (d)bacteria encloses toxin in a special sac. Solution: toxin is inactive: In bacteria, the toxin is present in an inactive form, called prototoxin, which gets converted into active form when it enters the body of an insect....
Read More →Differentiate the function with respect to x.
Question: Differentiate the function with respect tox. $(\sin x)^{x}+\sin ^{-1} \sqrt{x}$ Solution: Let $y=(\sin x)^{x}+\sin ^{-1} \sqrt{x}$ Also, let $u=(\sin x)^{x}$ and $v=\sin ^{-1} \sqrt{x}$ $\therefore y=u+v$ $\Rightarrow \frac{d y}{d x}=\frac{d u}{d x}+\frac{d v}{d x}$ ...(1) $u=(\sin x)^{x}$ $\Rightarrow \log u=\log (\sin x)^{x}$ $\Rightarrow \log u=x \log (\sin x)$ Differentiating both sides with respect to $x$, we obtain $\Rightarrow \frac{1}{u} \frac{d u}{d x}=\frac{d}{d x}(x) \times ...
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