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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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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