CBSE  /  Class 12  /  Maths  /  Application of Integrals

  • 1. 
    The area bounded by the curve 2x² + y² = 2 is

  • π sq. units
  • √2π sq. units
  • \(\frac{π}{2}\) sq. units
  • 2π sq. units

  • 2. 
    The area bounded by the curve x² = 4y + 4 and line 3x + 4y = 0 is

  • \(\frac{25}{4}\) sq. units
  • \(\frac{125}{8}\) sq. units
  • \(\frac{125}{16}\) sq. units
  • \(\frac{124}{4}\) sq. units

  • 3. 
    Area of the ellipse \(\frac{x^2}{a^2}\) + \(\frac{y^2}{b^2}\) = 1 is

  • 4π ab sq. units
  • 2π ab sq. units
  • π ab sq. units. (d) \(\frac{π ab}{2}\) sq. units

  • 4. 
    Area bounded between the parabola y² = 4ax and its latus rectum is

  • \(\frac{1}{3}\) a sq. units
  • \(\frac{1}{3}\) a² sq. units
  • \(\frac{8}{3}\) a sq. units
  • \(\frac{8}{3}\) a² sq. units

  • 5. 
    The area bounded by the line y = 2x – 2, y = -x and x-axis is given by

  • \(\frac{9}{2}\) sq. units
  • \(\frac{43}{6}\) sq. units
  • \(\frac{35}{6}\) sq. units
  • None pf these
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