CBSE Class 10 English (Communicative) Question Paper 2020 with Answer Key (February 26, Set 2 - 1/4/2)

CBSE X Questions

• 1.

  Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)
  

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• 2.

  A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))
  

  

  • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
    
  • \(314\) \(\text{cm}^{2}\)
    
  • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
    
  • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)
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• 3.

  The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :
  

  

  • 0
    
  • 1
    
  • 3
    
  • 2
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• 4.

  In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.
  

  

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• 5.

  (a) Why did many Europeans migrate to America after the sixteenth century? Explain. OR (b) How did trade and long distance travel contribute to the spread of diseases during the ancient period? Explain.

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• 6.

  Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.
  

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