CBSE Class 10 Mathematics Standard Set 1 - (30/3/1) Question Paper 2026 with Solution PDF

CBSE X Questions

• 1.

  In the given figure, \(\Delta ABC\) is a right-angled triangle with \(\angle A = 90^\circ\). AD is perpendicular to BC.
  

  

  
  35(a)(i) Prove that \(\Delta DBA \sim \Delta DAC\)

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• 2.

  In the given figure, PQ is a tangent to a circle with centre \(O(-5, 3)\). If coordinates of P and Q are \((3, 1)\) and \((0, 6)\) respectively, then using distance formula, show that \(PQ \perp OQ\).
  

  

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• 3.

  \(17 \times 11 \times 13 + 11\) is

  • a prime number.
  • multiple of 17.
  • a composite number.
  • an odd number.
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• 4.

  Determine the ratio in which the line \(2x + y = 6\) divides the line segment joining the points (1, 3) and (2, 5).

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• 5.

  In the given figure, two triangles ABC and PQR are shown such that \(\angle A = \angle P\) and \(\angle C = \angle R\). If \(AD \perp BC\) and \(PS \perp QR\), then prove that (i) \(\Delta ADB \sim \Delta PSQ\) (ii) \(AD \times QS = BD \times PS\).
  

  

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• 6.

  Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :
  

  

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