CBSE Class 12 Mathematics Compartment Question Paper 2019 with Answer Key (July 2, Set 2- 65/1/2)

CBSE CLASS XII Questions

• 1.

  A coil has 100 turns, each of area \( 0.05 \, \text{m}^2 \) and total resistance \( 1.5 \, \Omega \). It is inserted at an instant in a magnetic field of \( 90 \, \text{mT} \), with its axis parallel to the field. The charge induced in the coil at that instant is:

  • \( 3.0 \, \text{mC} \)
  • \( 0.30 \, \text{C} \)
  • \( 0.45 \, \text{C} \)
  • \( 1.5 \, \text{C} \)
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• 2.

  The probability that a student buys a colouring book is 0.7, and a box of colours is 0.2. The probability that she buys a colouring book, given that she buys a box of colours, is 0.3. Find:
  (i) The probability that she buys both the colouring book and the box of colours.
  (ii) The probability that she buys a box of colours given she buys the colouring book.

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• 3.

  If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

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• 4.

  A fruit box contains 6 apples and 4 oranges. A person picks out a fruit three times with replacement. Find:
  (i) The probability distribution of the number of oranges he draws.
  (ii) The expectation of the number of oranges.

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• 5.

  ‘But the game he is watching so intently is out of his reach.’ What are the factors that have made their game inaccessible to Saheb? (Lost Spring)
  

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• 6.

  A 1 cm straight segment of a conductor carrying 1 A current in \( x \)-direction lies symmetrically at the origin of Cartesian coordinate system. The magnetic field due to this segment at point (1m, 1m, 0) is:

  • \( 1.0 \times 10^{-9} \, \text{T} \)
    
  • \( -1.0 \times 10^{-9} \, \text{T} \)
    
  • \( \frac{5.0}{\sqrt{2}} \times 10^{-10} \, \text{T} \)
    
  • \( -\frac{5.0}{\sqrt{2}} \times 10^{-10} \, \text{T} \)
    
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