CBSE  /  Class 12  /  Maths  /  Application of Integrals

  • 1. 
    The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ \(\frac{π}{2}\) is

  • √2 sq.units
  • (√2 + 1) sq. units
  • (√2 – 1) sq. units
  • (2√2 – 1) sq.units

  • 2. 
    The area of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is

  • \(\frac{3}{8}\) sq.units
  • \(\frac{5}{8}\) sq.units
  • \(\frac{7}{8}\) sq.units
  • \(\frac{9}{8}\) sq. units

  • 3. 
    The area of the region bounded by the curve y = \(\sqrt{16-x^2}\) and x-axis is

  • 8π sq.units
  • 20π sq. units
  • 16π sq. units
  • 256π sq. units

  • 4. 
    Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x² + y² = 32 is

  • 16π sq.units
  • 4π sq. units
  • 32π sq. units
  • 24π sq. units

  • 5. 
    Area of the region bounded by the curve y = cos x between x = 0 and x = π is

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

  • 6. 
    The area of the region bounded by parabola y² = x and the straight line 2y = x is

  • \(\frac{4}{3}\) sq. unit
  • 1 sq. unit
  • \(\frac{2}{3}\) sq. units
  • \(\frac{1}{3}\) sq. units

  • 7. 
    The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = \(\frac{π}{2}\) and the x-axis is

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

  • 8. 
    The area of the region bounded by the ellipse \(\frac{x²}{25}\) + \(\frac{y²}{16}\) = 1 is

  • 20π sq. units
  • 20π² sq. units
  • 16π² sq. units
  • 25π sq. units

  • 9. 
    The area of the region bounded by the circle x² + y² = 1 is

  • 2π sq. units
  • 7π sq. units
  • 3π sq. units
  • 4π sq. units

  • 10. 
    The area of the region bounded by the and the lines x = 2 and x = 3

  • \(\frac{7}{2}\) sq. unit
  • \(\frac{9}{2}\) sq. unit
  • \(\frac{11}{2}\) sq. units
  • \(\frac{13}{2}\) sq. units
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