CBSE Class 10 Gurung Question Paper 2018 with Answer Key (March 20, Set 4)

CBSE X Questions

• 1.

  If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

  • $x^2 + 5x - 4$
  • $(x + 3) (-x + 8)$
  • $a(x^2 + 5x - 24)$
  • $x^2 - 24$
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• 2.

  Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$

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• 3.

  Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

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• 4.

  A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is $3/5$, then find the number of yellow balls.

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• 5.

  Assertion (A) : The system of linear equations $3x - 5y + 7 = 0$ and $-6x + 10y + 14 = 0$ is inconsistent.
  Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.

  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  • Assertion (A) is true, but Reason (R) is false.
  • Assertion (A) is false, but Reason (R) is true.
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• 6.

  Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

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