STD 12 - 8. Application and integration - CBSE STD 12 Science Mathematics Questions - Vidyadip

Question types

STD 12 - 8. Application and integration question types

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

345

Questions

1

Question groups

5

Question types

M.C.Q (1 Marks)

Sample Questions

STD 12 - 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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