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Areas of Bounded Regions Maths - Areas of Bounded Regions

Uttarakhand Board (UBSE) - STD 12 Science - Maths (Uttarakhand - English Medium). 111 questions in this chapter.

Question types

Areas of Bounded Regions question types

111 questions across 3 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

111
Questions
3
Question groups
5
Question types
Sample Questions

Areas of Bounded Regions questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
The area bounded by the curve $\text{y}=\log_{\text{e}}\text{x}$ and x-axis and the straight line x = e is:
  • A
    $\text{e sq. units}$
  • ✓
    $1\text{ sq. units}$
  • C
    $1-\frac{1}{\text{e}}\text{ sq. units}$
  • D
    $1+\frac{1}{\text{e}}\text{ sq. units}$

Answer: B.

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Q 2M.C.Q (1 Marks)1 Mark
Area bounded by the curve $y = x^3,$ the $x-$ axis and the ordinates $x = -2$ and $x = 1$ is :
  • A
    $-9$
  • B
    $\frac{-15}{4}$
  • C
    $\frac{15}{4}$
  • ✓
    $\frac{17}{4}$

Answer: D.

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Q 4M.C.Q (1 Marks)1 Mark
The area bounded by the parabola $y^2 = 4ax$ and $x^2 = 4ay$ is :
  • A
    $\frac{8\text{a}^3}{3}$
  • ✓
    $\frac{16\text{a}^2}{3}$
  • C
    $\frac{32\text{a}^2}{3}$
  • D
    $\frac{64\text{a}^2}{3}$

Answer: B.

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Q 61 Marks Question1 Mark
Sketch the graph of $\text{y}=\sqrt{\text{x}+1}$ in [0, 4] and determine the area of the region enclosed by the curve, the x-axis and the lines x = 0, x = 4.
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Q 115 Marks Questions5 Marks
Draw a rough sketch of the graph of the function $\text{y}=2\sqrt{1-\text{x}^{2}}, \text{x}\in [0, 1] $ and evaluate the area enclosed between the curve and the x-axis.
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