Guides

How to prepare for a Viva

How to prepare for a Viva : We all agree that exams can be scary and stressful for most of us, especially the external Viva examinations!  To help ease your stress, we at Noon, wish to take you...

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\cos 2 x \cos 4 x \cos 6 x

Solution:- $\int \cos 2 x \cos 4 x \cos 6 x d x=\int \cos 2 x\left[\frac{1}{2}\{\cos (4 x+6 x)+\cos (4 x-6 x)\}\right] d x$ $=\frac{1}{2} \int\{\cos 2 x \cos 10 x+\cos 2 x \cos (-2 x)\} d x$ We know...

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x /\left(9-4 x^{2}\right)

Solution: Let us take, $9-4 x^{2}=t$ We get, $-8 \mathrm{x} \mathrm{dx}=\mathrm{dt}$ Now take, $\int \frac{x}{9-4 x^{2}} d x$ https://byjus.com $B B Y J U^{\prime} S$ So, $$ =\frac{-1}{8}...

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\sin (a x+b) \cos (a x+b)

Solution: Given $$ \sin (a x+b) \cos (a x+b) $$ On integrating the above function, we get $$ \sin (a x+b) \cos (a x+b)=\frac{2 \sin (a x+b) \cos (a x+b)}{2} $$ We obtain, $$ =\frac{\sin 2(a x+b)}{2}...

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\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right) is equal to
(A) \frac{5 \pi}{6}
(B) \frac{7 \pi}{6}
(C) \frac{\pi}{3}
(D) \frac{\pi}{6}

The answer will be (A) $\frac{5 \pi}{6}$ Explanation: You can write $\frac{7 \pi}{6}$ as $\left(\pi+\frac{\pi}{6}\right)$ Thus we can clearly see the angle falls in the third quadrant. And the...

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Answer Given equations: r¯=(ı^+ȷ^)+λ(2ı^-ȷ^+k^) \overline{\mathrm{r}}=(\hat{\imath}+\hat{\jmath})+\lambda(2 \hat{\imath}-\hat{\jmath}+\hat{\mathrm{k}})...

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General formula of Alkene is

correct answer is option Alkenes are defined as either branched or unbranched hydrocarbons that possess at least one carbon–carbon double bond (CC) and have a general formula of CnH2n  

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A lift is coming from 8th floor and is just about to reach 4th floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct? a) x<0, v<0, a>0 b) x>0, v<0, a<0 c) x>0, v<0, a>0 d) x>0, v>0, a<0

The correct answer is a) x<0, v<0, a<0 The value of x and v becomes negative as the lift is moving from the 8th floor to the 4th floor whereas acceleration is acting upwards and stays...

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Q2) Considering mode of asexual reproduction, match the Column I with II and select the correct option : I II a. Yeast i. fragmentation b. Penicillium ii. zoospores c. Filamentous algae iii. budding d. Chlamydomonas iv. conidia A) a-iii, b-iv, c-i, d-ii B) a-ii, b-iii, c-i, d-iv C) a-iv, b-iii, c-ii, d-i D) a-iii, b-ii, c-i, d-iv

Correct option:  A Explanation: Yeast shows asexual reproduction by budding, where a small bud os formed on the parent bud. The asexual reproduction in Penicillium  starts with the development of...

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In amplitude modulation

(A) amplitude remains constant but frequency change (B) both amplitude and frequency do not change (C) both amplitude and frequency change (D) amplitude of the carrier wave changes according to...

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Identify the INCORRECT statement regarding Bt Cotton. (1) Dried spores of Bacillus thuringiensis are sprayed on its vulnerable leaves (2) It releases toxin that causes swelling in the gut of insect that ingest its leaves (3) It is a transgenic plant (4) It can produce toxin due to gene introduced in it by transgenesis

Correct option:(1)Dried spores of Bacillus thuringiensis are sprayed on its vulnerable leaves Solution: Bt toxin is produced by bacteria Bacillus thuriengiensis. During sporulation, these bacteria...

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If \int \sqrt{\frac{x-5}{x-7}} d x=A \sqrt{x^{2}-12 x+35}+\log \left|x-6+\sqrt{x^{2}-12 x+35}\right|+C then A= (A) -1 (B) \frac{1}{2} (C) -\frac{1}{2} (D) 1

Option D $ \text { Let } I=\int \sqrt{\frac{x-5}{x-7}} {d x } {=\int \sqrt{\frac{(x-5)(x-5)}{(x-7)(x-5)}} d x} \text { [rationlising] } $ $ \begin{array}{l} =\int \frac{x-5}{\sqrt{x^{2}-5 x-7 x+35}}...

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A parallel combination of pure inductor and capacitor is connected across a source of alternating e.m.f. ‘ e’. The currents flowing through an inductor and capacitor are i_{L} and i_{c} respectively. In this parallel resonant circuit, the condition for currents i, i_{L} and i_{c} is ( i= net r.m.s. current in the circuit) (A)i \doteq 0, i_{L}=i_{C} \neq 0 (B)i \neq 0, i_{L}=i_{C}=0 (C)i \doteq i_{L}=i_{C} (D) i \doteq 0, i_{L} \neq i_{C}

The correct option is option (A)$i \doteq 0, i_{L}=i_{C} \neq 0$ In parallel resonant circuit, the capacitive and inductive reactance are equal, hence currents are equal but $180^{\circ}$ out of...

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A point P (a, b) is reflected in the x-axis to P’

    \[(2,-3)\]

, write down the values of a and b. P” is the image of P, when reflected in the y-axis. Write down the co-ordinates of P”. Find the co-ordinates of P”, when P is reflected in the line parallel to y-axis such that x =

    \[4\]

.

According to the question:, P’ \[(2,-3)\] is the reflection of P (a, b) in the x-axis Hence, the co-ordinates of P’ will be (a, – b) but P’ is \[(2,-3)\] On comparing, we get a = \[2\], b = \[3\]...

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Match the following parts of a nephron with their function :
(a) Descending limb (i) Reabsorption of of Henle’s loop salts only
(b) Proximal (ii) Reabsorption of convoluted tubule water only
(c) Ascending limb (iii) Conditional of Henle’s loop reabsorption of sodium ions and water
(d) Distal convoluted (iv) Reabsorption of tubule ions, water and organic nutrients
Select the correct option from the following :
(1) (a)-(iv), (b)-(i), (c)-(iii), (d)-(ii)
(2) (a)-(i), (b)-(iii), (c)-(ii), (d)-(iv)
(3) (a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)
(4) (a)-(i), (b)-(iv), (c)-(ii), (d)-(iii)

The correct option is (3) (a)-(ii), (b)-(iv), (c)-(i), (d)-(iii). The explanation is as follows.

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179. A cell at telophase stage is observed by a student in a plant brought from the field. He tells his teacher that this cell is not like other cells at telophase stage. There is no formation of cell plate and thus the cell is containing more number of chromosomes as compared to other dividing cells. This would result in: (1) Aneuploidy (2) Polyploidy (3) Somaclonal variation (4) Polyteny

Solution: (2) Polyploidy cells have more than double the amount of chromosomes as haploid cells.

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173. Which of the following statements is not correct? (1) Pollen grains of many species can germinate on the stigma of a flower, but only one pollen tube of the same species grows into the style. (2) Insects that consume pollen or nectar without bringing about pollination are called pollen nerctar ⁄ robbers. (3) Pollen germination and pollen tube growth are regulated by chemical components of pollen interacting with those of the pistil. (4) Some reptiles have also been reported as pollinators in some plant species.

Solution: (1) A style can grow from more than one pollen tube of the same species. It's a common occurrence in nature.

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170. In a testcross involving F1 dihybrid flies, more parental – type offspring were produced than the recombinant – type offspring. This indicates: (1) The two genes are located on two different chromosomes (2) Chromosomes failed to separate during meiosis (3) The two genes are linked and present on the same chromosome (4) Both of the characters are controlled by more than one gene

Solution: (3) When a plant genotype Aa Bb crosses with aabb, Independent Assortment produces four types of progeny in equal proportions. Aa Bb – gametes AB Ab aB ab Aa bb – Gametes ab ab ab ab...

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169. Which of the following is wrongly matched in the given table? (1) Microbe Product Application Trichoderma polysporum Cyclosporin A Immunosuppressive drug (2) Microbe Product Application Monascus purpureus Statins Lowering of blood cholesterol (3) Microbe Product Application Streptococcus Streptokinase Removal of clot from blood vessel (4) Microbe Product Application Clostridium butylicum Lipase Removal of oil stains

Solution: (4) The bacterium Clostridium butylicum is used to make butyric acid. Lipase is produced by Candida lipolyticum.

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