CBSE Class 10 Science Question Paper 2017 with Answer Key (March 22, Set 1- (31/1/1))

CBSE X Questions

• 1.

  The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

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• 2.

  PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.
  

  

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• 3.

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

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• 4.

  A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

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• 5.

  Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is

  • $\frac{5}{12}$
  • $\frac{5}{6}$
  • $1$
  • $0$
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• 6.

  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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