CBSE  /  Class 12  /  Maths  /  Application of Integrals

  • 1. 
    The area of the region bounded by the curve x = 2y + 3 and the lines y = 1 and y = -1 is

  • 4 sq. units
  • \(\frac{3}{2}\) sq. units
  • 6 sq. units
  • 8 sq, units

  • 2. 
    If y = 2 sin x + sin 2x for 0 ≤ x ≤ 2π, then the area enclosed by the curve and x-axis is

  • \(\frac{9}{2}\) sq. units
  • 8 sq. units
  • 12 sq. units
  • 4 sq. unjts

  • 3. 
    Tne area bounded by the curve y = x² – 1 and the straight line x + y = 3 is

  • \(\frac{9}{2}\) sq. units
  • 4 sq. units
  • \(\frac{7\sqrt{17}}{6}\) sq. units
  • \(\frac{17\sqrt{17}}{6}\) sq. unjts

  • 4. 
    Area bounded by the lines y = |x| – 2 and y = 1 – |x – 1| is equal to

  • 4 sq. units
  • 6 sq. units
  • 2 sq. units
  • 8 sq. units

  • 5. 
    The area bounded by the lines y = |x| – 1 and y = -|x| + 1 is

  • 1 sq. unit
  • 2 sq. unit
  • 2√2 sq. units
  • 4 sq. units

  • 6. 
    The area of the region bounded by the line y = | x – 2 |, x = 1, x = 3 and x-axis is

  • 4 sq. units
  • 2 sq, units
  • 3 sq. units
  • 1 sq. unit

  • 7. 
    Area bounded by the ellipse \(\frac{x^2}{4}\) + \(\frac{y^2}{9}\) = 1 is

  • 6π sq. units
  • 3π sq. units
  • 12π sq. units
  • None of these

  • 8. 
    Area of triangle whose two vertices formed from the x-axis and line y = 3 – |x| is,

  • 9 sq. units
  • \(\frac{3}{2}\) sq. units
  • 3 sq. units
  • None of these

  • 9. 
    The area of ellipse \(\frac{x^2}{4^2}\) + \(\frac{y^2}{9^2}\) = 1 is

  • 6π sq. units
  • \(\frac{π(a^2+b^2)}{4}\) sq. units
  • π(a + b) sq. units
  • None of these

  • 10. 
    The area bounded by the lines |x| + |y| = 1 is

  • 1 sq. unit
  • 2 sq. units
  • 2√2 sq. units
  • 4 sq. units
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