8. Application and integration - Gujarat Board (GSEB) STD 12 Science Maths Questions - Vidyadip

Question types

8. Application and integration question types

345 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

345

Questions

1

Question groups

5

Question types

M.C.Q (1 Marks)

Sample Questions

8. Application and integration 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

Area bounded by the curve $y = \log x\,,$ $x - $ axis and the ordinates $x = 1,\,\,x = 2$ is

A
$\log 4\,\,sq. \,unit$
B
$(\log 4 + 1)\,\,sq. \,unit$
✓
$(\log 4 - 1)\,\,sq. \,unit$
D
None of these

Answer: C.

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Q 2M.C.Q (1 Marks)1 Mark

Area bounded by the curve $y = x{e^{{x^2}}},$ $x - $axis and the ordinates $x = 0,\,\,x = a$

A
$\frac{{{e^{{a^2}}} + 1}}{2}\,\,sq. \,unit$
✓
$\frac{{{e^{{a^2}}} - 1}}{2}\,\,sq. \,unit$
C
${e^{{a^2}}} + 1\,\,sq. \,unit$
D
${e^{{a^2}}} - 1\,\,sq. \,unit$

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark

Area bounded by $y = x\sin x$ and $x - $ axis between $x = 0$ and $x = 2\pi ,$ is

A
$0$
B
$2\pi \,\, sq. \,unit$
C
$\pi \,\, sq. \,unit$
✓
$4\pi \,\, sq. \,unit$

Answer: D.

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Q 4M.C.Q (1 Marks)1 Mark

If area bounded by the curves ${y^2} = 4\,ax$ and $y = mx$ is ${a^2}/3,$, then the value of $m$ is

✓
$2$
B
$ - 2$
C
$\frac{1}{2}$
D
None of these

Answer: A.

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Q 5M.C.Q (1 Marks)1 Mark

Area bounded by parabola ${y^2} = x$ and straight line $2y = x$ is

✓
$\frac{4}{3}$
B
$1$
C
$\frac{2}{3}$
D
$\frac{1}{3}$

Answer: A.

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