CBSE Class 12 Tamil Compartment Question Paper 2018 with Answer Key (July 16, Set 4- 6)

CBSE CLASS XII Questions

• 1.

  If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).

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• 2.

  “If you want to test a man’s character, give him power.” Analyse the theme of The Tiger King in the light of the above quote. (The Tiger King)

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• 3.

  A 1 cm segment of a wire lying along the x-axis carries a current of 0.5 A along the \( +x \)-direction. A magnetic field \( \vec{B} = (0.4 \, \text{mT} \hat{j}) + (0.6 \, \text{mT} \hat{k}) \) is switched on. The force acting on the segment is:

  • \( (2 \hat{i} + 3 \hat{k}) \, \text{mN} \)
  • \( (-3 \hat{j} + 2 \hat{k}) \, \mu\text{N} \)
  • \( (6 \hat{j} + 4 \hat{k}) \, \text{mN} \)
  • \( (-4 \hat{j} + 6 \hat{k}) \, \mu\text{N} \)
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• 4.

  If \[ f(x) = \begin{cases} \frac{\sin^2(ax)}{x^2}, & x \neq 0 \\ 1, & x = 0 \end{cases} \] is continuous at \( x = 0 \), then the value of \( a \) is:

  • 1
    
  • -1
    
  • \( \pm 1 \)
    
  • 0
    
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• 5.

  Two wires of the same material and the same radius have their lengths in the ratio 2:3. They are connected in parallel to a battery which supplies a current of 15 A. Find the current through the wires.

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• 6.

  Arun, Bashir and Joseph were partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2. They admitted Daksh as a new partner who acquired his share entirely from Arun. If Arun sacrificed \( \frac{1}{5} \)th from his share to Daksh, Daksh's share in the profits of the firm will be :
  

  • \( \frac{1}{5} \) 
     

  • \( \frac{1}{10} \) 
     

  • \( \frac{3}{10} \)
    
  • \( \frac{2}{5} \)
    
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