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Recent questions tagged sec-a
Questions
Integrate the functions\[\frac{\sec^2x}{\sqrt{\tan^2x+4}}\]
cbse
class12
bookproblem
ch7
sec4
q9
p315
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{x^2+2x+2}}\]
cbse
class12
bookproblem
ch7
sec4
q10
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{9x^2+6x+5}\]
cbse
class12
bookproblem
ch7
sec4
q11
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{7-6x-x^2}}\]
cbse
class12
bookproblem
ch7
sec4
q12
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{(x-1)(x-2)}}\]
cbse
class12
bookproblem
ch7
sec4
q13
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{8+3x-x^2}}\]
cbse
class12
bookproblem
ch7
sec4
q14
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions $\frac{1}{\sqrt{(x-a)(x-b)}}$
cbse
class12
bookproblem
ch7
sec4
q15
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize\frac{\large dx}{\large x^2+2x+2}$ equals
cbse
class12
bookproblem
ch7
sec4
q24
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
$\Large \int \normalsize\frac{dx}{\sqrt{9x-4x^2}}$ equals
cbse
class12
bookproblem
ch7
sec4
q25
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Find $| a × b |$, if $a = \hat i - 7\hat j + 7\hat k$ and $b = 3\hat i - 2\hat j + 2\hat k$
cbse
class12
bookproblem
ch10
sec4
q1
p454
medium
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Given that $\overrightarrow a . \overrightarrow b = 0$ and $ \overrightarrow a$ x $\overrightarrow b = \overrightarrow 0$ What can you conclude about the vectors $\overrightarrow a$ and $ \overrightarrow b$?
cbse
class12
bookproblem
ch10
sec4
q6
p454
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find the area of the parallelogram whose adjacent sides are determined by the vectors $ \overrightarrow a = \hat i - \hat j + 3\hat k$ and $\overrightarrow b = 2\hat i - 7 \hat j + \hat k$
cbse
class12
bookproblem
ch10
sec4
q10
p455
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Let the vectors $ \overrightarrow a$ and $ \overrightarrow b$ be such that $| \overrightarrow a | = 3$ and $ |\overrightarrow b | = \frac{\large \sqrt 2}{\large 3}$ , then $\overrightarrow a \times \overrightarrow b$ is a unit vector, if the angle between $ \overrightarrow a$ and $ \overrightarrow b$ is
cbse
class12
bookproblem
ch10
sec4
q11
p455
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Write down a unit vector in XY plane, making an angle of 30 degress with the positive direction of $x$ axis.
cbse
class12
bookproblem
ch10
misc
q1
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find the scalar components and magnitude of the vector joining the points $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2)$
cbse
class12
bookproblem
ch10
misc
q2
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
If $\overrightarrow a = \overrightarrow b + \overrightarrow c$, then is it true that $| \overrightarrow a | = | \overrightarrow b | + | \overrightarrow c |$? Justify your answer.
cbse
class12
bookproblem
ch10
misc
q4
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find the value of $x$ for which $x(\hat i + \hat j +\hat k)$ is a unit vector.
cbse
class12
bookproblem
ch10
misc
q5
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find a vector of magnitude $5$ units, and parallel to the resultant of the vectors $\overrightarrow a = 2\hat i + 3 \hat j - \hat k$ and $\overrightarrow b = \hat i - 2\hat j + \hat k$
cbse
class12
bookproblem
ch10
misc
q6
p458
medium
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
If $\overrightarrow a = \hat i + \hat j + \hat k, \overrightarrow b = 2\hat i - \hat j + 3\hat k$ and $\overrightarrow c = \hat i - 2\hat j + \hat k$, find a unit vector parallel to the vector $2\overrightarrow a - \overrightarrow b + 3\overrightarrow c$
cbse
class12
bookproblem
ch10
misc
q7
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are $ \frac{\large 1}{\large \sqrt 3}, \: \frac{\large 1}{\large \sqrt 3}, \: \frac{\large 1}{\large \sqrt 3} $
cbse
class12
bookproblem
ch10
misc
q11
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer if θ is the angle between two vectors $\overrightarrow a$ and $ \overrightarrow b$, then $ \overrightarrow a \: . \: \overrightarrow b\ \: \geq 0$ only when
cbse
class12
bookproblem
ch10
misc
q16
p459
medium
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer if the value of $ \hat i.( \hat j\times \hat k)+ \hat j . (\hat i \times \hat k) +\hat k. (\hat i \times \hat j)$ is
cbse
class12
bookproblem
ch10
misc
q18
p459
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer if θ is the angle between any two vectors $\overrightarrow a$ and $\overrightarrow b$, then $| \overrightarrow a ⋅\overrightarrow b | \: = \: | \overrightarrow a \times\overrightarrow b |$ when θ is equal to
cbse
class12
bookproblem
ch10
misc
q19
p459
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
If \( y = e^{\large a \: cos^{-1}x}, -1 \leq x \leq 1\), show that \((1- x^2)\large\frac{d^2y}{dx^2}-\normalsize x\large\frac{dy}{dx} -\normalsize a^2y \; = \; 0.\)
cbse
class12
bookproblem
ch5
misc
q23
p192
sec-a
medium
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
If \(y = \begin{vmatrix} f(x) & g(x) & h(x) \\l & m &n \\ a & b & c \end{vmatrix}\), prove that \(\large\frac{dy}{dx}\normalsize = \begin{vmatrix} f'(x) & g'(x) & h'(x) \\l & m &n \\ a & b & c \end{vmatrix}\)
cbse
class12
bookproblem
ch5
misc
q22
p192
sec-a
easy
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify your answer.
cbse
class12
bookproblem
ch5
misc
q21
p192
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
If \(f (x) = |\; x\; |^3\), show that \(f ″(x)\) exists for all real \(x\) and find it.
cbse
class12
bookproblem
ch5
misc
q18
p192
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Integrate the function $x\;\log x$
cbse
class12
bookproblem
ch7
sec6
q4
p327
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $x\; \log2x $
cbse
class12
bookproblem
ch7
sec6
q5
p327
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function\[x\;\sec^2x\]
cbse
class12
bookproblem
ch7
sec6
q12
p327
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function\[e^x(\sin x+\cos x)\]
cbse
class12
bookproblem
ch7
sec6
q16
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\;\int\;\frac{xe^x}{(1+x)^2}$
cbse
class12
bookproblem
ch7
sec6
q17
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $e^x \large($$ \large \frac{1}{x}$$-\large\frac{1}{x^2})$
cbse
class12
bookproblem
ch7
sec6
q19
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{(x-3)e^x}{(x-1)^3}$
cbse
class12
bookproblem
ch7
sec6
q20
p328
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize x^2e^{x^3}\;dx $ equals
cbse
class12
bookproblem
ch7
sec6
q23
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\int e^x\sec x(1+\tan x)\;dx$ equals
cbse
class12
bookproblem
ch7
sec6
q24
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Find the area under the given curves and given lines: $ (i) \: y = x^2, x = 1, x = 2 \: and\: x - axis$
cbse
class12
bookproblem
ch8
misc
q1
q1-1
p375
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region lying in the first quadrant and bounded by $y = 4x^2, x = 0, y = 1$ and $y = 4$.
cbse
class12
bookproblem
ch8
misc
q3
p375
sec-a
medium
math
aims-12-math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area bounded by the curve $(y = \sin\; x) $ between $ (x = 0) $ and $(x = 2π).$
cbse
class12
bookproblem
ch8
misc
q5
p375
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the area bounded by the curve $ y = x^3$, the $x$ - axis and the ordinates $x = -2$ and $x = 1$ is
cbse
class12
bookproblem
ch8
misc
q16
p376
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the the area bounded by the curve $y = x |\; x\; | ,\; x$ - axis and the ordinates $x = -1$ and $x = 1$ is given by [Hint : $y = x^2$ if $x > 0$ and $y = -x^2$ if $x < 0$].
cbse
class12
bookproblem
ch8
misc
q17
p376
sec-a
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Integrate the function\[\sqrt{4-x^2}\]
cbse
class12
bookproblem
ch7
sec7
q1
p330
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function\[\sqrt{1-4x^2}\]
cbse
class12
bookproblem
ch7
sec7
q2
p330
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{x^2+4x+6}$
cbse
class12
bookproblem
ch7
sec7
q3
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{x^2+4x+1}$
cbse
class12
bookproblem
ch7
sec7
q4
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{1-4x-x^2}$
cbse
class12
bookproblem
ch7
sec7
q5
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{x^2+4x-5}$
cbse
class12
bookproblem
ch7
sec7
q6
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{1+3x-x^2}$
cbse
class12
bookproblem
ch7
sec7
q7
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{x^2+3x}$
cbse
class12
bookproblem
ch7
sec7
q8
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function\[\sqrt{1+\frac{x^2}{9}}\]
cbse
class12
bookproblem
ch7
sec7
q9
p330
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
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