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The length of the chord joining the points left parenthesis 4 cos invisible function application theta comma blank 4 sin invisible function application theta right parenthesis and left parenthesis 4 cos invisible function application open parentheses theta plus 60 degree close parentheses comma blank 4 sin invisible function application left parenthesis theta plus 60 degree right parenthesisof the circle x to the power of 2 end exponent plus y to the power of 2 end exponent equals 16 is

Maths-General

  1. 4    
  2. 16    
  3. 2    
  4. 8    

    Answer:The correct answer is: 4

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    Assertion (A):If a>0,b>0 and c>0, then (a+b+c)(1a+1b+1c)9Reason (R): For positive numbers a, b, c, AMGM

    AMGM=1a+1b+1c3111--b¯a.c(1)D:x2-3x-4<0(x+1)(x-4)<01<x<4x2-3x+2>0Rejectx-2)(x-1)>0=x<1arx>2(a+b+c)3(abc)13(2)multiply (1) and (2)  

    Assertion (A):If a>0,b>0 and c>0, then (a+b+c)(1a+1b+1c)9Reason (R): For positive numbers a, b, c, AMGM

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    AMGM=1a+1b+1c3111--b¯a.c(1)D:x2-3x-4<0(x+1)(x-4)<01<x<4x2-3x+2>0Rejectx-2)(x-1)>0=x<1arx>2(a+b+c)3(abc)13(2)multiply (1) and (2)  
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    Observe the following statements and choose correct answer Statement-I:A particle p moves along a straight line, starting from a fixed point ‘O’, obeying s=16+48t-t3.the direction of p when t=5 is along OP¯ Statement-II: For a particle moving on a line, if velocity v<0 then the body moves towards the initial point.

    Statement -I:    

    Observe the following statements and choose correct answer Statement-I:A particle p moves along a straight line, starting from a fixed point ‘O’, obeying s=16+48t-t3.the direction of p when t=5 is along OP¯ Statement-II: For a particle moving on a line, if velocity v<0 then the body moves towards the initial point.

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    Statement -I:    
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    The number of codons that code different amino acids is -

       

    The number of codons that code different amino acids is -

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    Finding of Miller's experiment on origin of life has provided evidence for:

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    Organisms which obtain energy by the oxidation of reduced inorganic compounds are called:

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    Darwin's finches represents:

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    Evolutionary convergence is the development of:

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    The material used in determining the age of a fossil is:

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    Select the correct statement(s) A Microbial experiment show the pre-existing advantageous mutations when selected will result in the observation of new phenotypes Over few generation this would result in speciation B Neanderthal fossils represent a human relative C In 1938, a fish caught in South Africa happened to be a coelacanth (lobe fins) which was thought to be extinct These animals evolved into the first amphibian living on both land and water D Lichens can be used as water pollution indicators E Alfred Wallace, a natur st, who worked in Malay Archepelago (present Indonesia) has also come to similar conclusion on natural selection as reached by Darwinism

    biologyGeneral
       
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    physics-

    A 20μF capacitor is connected to 45 V battery through a circuit whose resistance is 2000Ω. What is the final charge on the capacitor?

    We know that in steady state the capacitor behaves like as an open circuit ie, capacitor will not pass the current. So, the potential difference across the capacitor = 45 V Hence , the final charge on the capacitor is q=CV Here , C=20μF, V=45 V  q=20×10-6×45 or q=900×10-6 or q=9×10-4C    

    A 20μF capacitor is connected to 45 V battery through a circuit whose resistance is 2000Ω. What is the final charge on the capacitor?

    physics-General
    We know that in steady state the capacitor behaves like as an open circuit ie, capacitor will not pass the current. So, the potential difference across the capacitor = 45 V Hence , the final charge on the capacitor is q=CV Here , C=20μF, V=45 V  q=20×10-6×45 or q=900×10-6 or q=9×10-4C    
    General
    maths-

    Statement ‐ I : The equation zz¯+a¯z+az¯+λ=0 where a is a complex number, represents a circle in Argand plane if λ is real. Statement ‐II : The radius of the circle zz¯+a¯z+az¯+λ=0 is λ-aa¯

    Result    

    Statement ‐ I : The equation zz¯+a¯z+az¯+λ=0 where a is a complex number, represents a circle in Argand plane if λ is real. Statement ‐II : The radius of the circle zz¯+a¯z+az¯+λ=0 is λ-aa¯

    maths-General
    Result    
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    Two capacitors A and B with capacities C1 and C2 are charged to potential difference of V1andV2, respectively. The plates of the capacitors are connected as shown in the figure with one wire free from each capacitor. The upper plate of A is positive and that of B is negative. An uncharged capacitor of capacitance C3 and lead wires falls on the free ends to complete circuit, then

         

    Two capacitors A and B with capacities C1 and C2 are charged to potential difference of V1andV2, respectively. The plates of the capacitors are connected as shown in the figure with one wire free from each capacitor. The upper plate of A is positive and that of B is negative. An uncharged capacitor of capacitance C3 and lead wires falls on the free ends to complete circuit, then

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