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Questions asked by thanvigandhi_1
Questions
5837
questions
1
answer selected
An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accident involving a scooter, a car and a truckare 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver.
cbse
class12
modelpaper
2008-1
sec-c
q29
math
asked
Dec 19, 2012
0
answers
If $ P(A) = \large \frac{6}{11} , P(B) =\large \frac{5}{11}\:$ and $ P(A \cup B) = \large \frac{7}{11}$ , find (i) $P(A \cap B) , (ii) P(A|B) , (iii) P(B|A)$
cbse
class12
bookproblem
ch13
sec1
q5
p538
sec-a
easy
math
asked
Dec 18, 2012
1
answer
Evaluate $ P(A \cup B)$, if $ 2P(A) = P(B) = \large \frac{5}{13} $ and $P(A | B) = \large \frac{2}{5} $
cbse
class12
bookproblem
ch13
sec1
q4
p538
sec-a
easy
math
asked
Dec 18, 2012
1
answer
If P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find \[ \begin{array} ((i) P(A \cap B) \quad & (ii) P(A|B) \quad & (iii) P(A ∪ B) \end{array} \]
cbse
class12
bookproblem
ch13
sec1
q3
p538
sec-a
math
asked
Dec 18, 2012
1
answer
Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E $\cap$ F) = 0.2, find P (E|F) and P(F|E)
cbse
class12
bookproblem
ch13
sec1
q1
p538
sec-a
easy
math
asked
Dec 18, 2012
1
answer
There are three coins. One is a two headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows heads, what is the probability that it was the two headed coin ?
cbse
class12
bookproblem
ch13
sec3
q6
p556
sec-b
easy
modelpaper
2012
q24
math
jeemain
probability
asked
Dec 18, 2012
1
answer
In each of the following cases,determine the direction cosines of the normal to the plane and the distance from the origin. $(a)\; z = 2 $
cbse
class12
bookproblem
ch11
sec3
q1
q1-a
p493
easy
sec-a
math
asked
Dec 15, 2012
1
answer
Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector \(3\hat i + 5\hat j - 6 \hat k.\)
cbse
class12
bookproblem
ch11
sec3
q2
p493
medium
sec-b
math
asked
Dec 15, 2012
1
answer
Find the Cartesian equation of the plane $\;(a)\; \overrightarrow r. (\hat i + \hat j - \hat k) = 2$
cbse
class12
bookproblem
ch11
sec3
q3
q3-a
p493
easy
sec-a
math
asked
Dec 15, 2012
1
answer
Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(a)\; 2x + 3y + 4z -12 = 0$
cbse
class12
bookproblem
ch11
sec3
q4
q4-a
p493
sec-a
easy
math
asked
Dec 15, 2012
1
answer
Find the vector and cartesian equations of the planes that passes through the point $(1, 0, -2)$ and the normal to the plane is $ \hat i+\hat j - \hat k $
cbse
class12
bookproblem
ch11
sec3
q5
q5-a
p493
sec-a
easy
math
asked
Dec 15, 2012
1
answer
Find the equations of the planes that passes through three points. $(1, 1, -1), (6, 4, -5), (-4, -2, 3) $
cbse
class12
bookproblem
ch11
sec3
q6
q6-a
p493
sec-a
easy
math
asked
Dec 15, 2012
1
answer
Find the intercepts cut off by the plane $2x + y -z = 5.$
cbse
class12
bookproblem
ch11
sec3
q7
p493
sec-a
easy
math
asked
Dec 15, 2012
1
answer
Find the equation of the plane with intercept 3 on the y - axis and parallel to ZOX plane.
cbse
class12
bookproblem
ch11
sec3
q8
p493
easy
sec-a
math
asked
Dec 15, 2012
1
answer
Find the equation of the plane through the intersection of the planes $3x -y + 2z -4 = 0$ and $x + y + z -2 = 0$ and the point $(2, 2, 1).$
cbse
class12
bookproblem
ch11
sec3
q9
p493
medium
sec-b
math
asked
Dec 15, 2012
1
answer
Find the vector equation of the plane passing through the intersection of the planes $ \overrightarrow r .(2\hat i + 2 \hat j - 3\hat k) = 7, \overrightarrow r .(2\hat i + 5\hat j + 3\hat k ) = 9$ and through the point $(2, 1, 3).$
cbse
class12
bookproblem
ch11
sec3
q10
p493
sec-b
medium
math
asked
Dec 15, 2012
1
answer
Find the equation of the plane through the line of intersection of the planes $x + y + z = 1$ and $2x + 3y + 4z = 5$ which is perpendicular to the plane$x -y + z = 0.$
cbse
class12
bookproblem
ch11
sec3
q11
p493
sec-b
medium
math
asked
Dec 15, 2012
1
answer
Find the angle between the planes whose vector equations are $ \overrightarrow r. ( 2\hat i + 2\hat j - 3\hat k ) = 5 \: and\: \overrightarrow r. ( 3\hat i - 3\hat j + 5\hat k ) = 3. $
cbse
class12
bookproblem
ch11
sec3
q12
p494
sec-b
easy
math
asked
Dec 14, 2012
1
answer
Determine whether the given planes are parallel or perpendicular, and in case they are neither, then find the angles between them. $(a)\; 7x + 5y + 6z + 30 = 0 \: and \: 3x -y -10z + 4 = 0 $
cbse
class12
bookproblem
ch11
sec3
q13
q13-a
p494
easy
sec-a
math
asked
Dec 14, 2012
1
answer
In the following cases,find the distance of each of the given points from the corresponding given plane (a)Point(0,0,0),Plane $3x-4y+12z-3=0$
cbse
class12
bookproblem
ch11
sec3
q14
q14-a
p494
sec-a
easy
math
asked
Dec 14, 2012
1
answer
Find the angle between the following pair of lines: $ \frac{\large x-2}{\large 2} = \frac{\large y-1}{\large 5} = \frac{\large z + 3}{\large -3} \: and\: \frac{\large x+2}{\large -1} = \frac{\large y-4}{\large 8} = \frac{\large z - 5}{\large 4} $
cbse
class12
bookproblem
ch11
sec2
q11
p478
easy
sec-b
q11-1
math
asked
Dec 14, 2012
1
answer
Find the shortest distance between the lines whose vector equations are $ \overrightarrow r = ( 1 - t ) \hat i + ( t - 2 )\hat j + ( 3 - 2t )\hat k$ and $ \overrightarrow r = ( s + 1 )\hat i + ( 2s - 1 )\hat j - (2s + 1)\hat k $
cbse
class12
bookproblem
ch11
sec2
q17
p478
p382
easy
sec-b
math
asked
Dec 14, 2012
1
answer
Find the shortest distance between the lines whose vector equations are $ \overrightarrow r = ( \hat i + 2\hat j + 3\hat k) + \lambda ( \hat i - 3\hat j + 2\hat k )$ and $ \overrightarrow r = 4 \hat i + 5\hat j + 6\hat k + \mu (2\hat i + 3\hat j + \hat k )$
cbse
class12
bookproblem
ch11
sec2
q16
p478
medium
sec-c
modelpaper
2012
q22
math
asked
Dec 14, 2012
1
answer
Find the shortest distance between the lines: $ \frac{ \large x + 1 }{ \large 7} = \frac{ \large y + 1}{ \large -6} = \frac{ \large z + 1}{ \large 1}$ and $ \frac{ \large x - 3 }{ \large 1} = \frac{ \large y - 5}{ \large -2} = \frac{ \large z - 7}{ \large 1}$
cbse
class12
bookproblem
ch11
sec2
q15
p478
medium
sec-b
modelpaper
2012
q20
math
asked
Dec 14, 2012
1
answer
Find the shortest distance between the lines $ \overrightarrow r = ( \hat i + 2\hat j + \hat k) + \lambda ( \hat i - \hat j + \hat k )$ and $ \overrightarrow r = 2 \hat i - \hat j - \hat k + \mu (2\hat i + \hat j + 2\hat k )$
cbse
class12
bookproblem
ch11
sec2
q14
p478
medium
sec-b
modelpaper
2012
math
asked
Dec 14, 2012
1
answer
Show that the lines $ \frac{ \large x - 5 }{ \large 7} = \frac{ \large y + 2}{ \large -5} = \frac{ \large z}{ \large 1}$ and $ \frac{ \large x }{ \large 1} = \frac{ \large y}{ \large 2} = \frac{ \large z}{ \large 3}$ are perpendicular to each other.
cbse
class12
bookproblem
ch11
sec2
q13
p478
easy
sec-b
math
asked
Dec 14, 2012
1
answer
Find the values of p so that the lines $ \frac{ \large 1 - x }{ \large 3} = \frac{ \large 7y - 14}{ \large 2p} = \frac{ \large z - 3}{ \large 2}\: and \: \frac{ \large 7 - 7x }{ \large 3 \: p} = \frac{ \large y - 5}{ \large 1} = \frac{ \large 6 - z}{ \large 5}$ are at right angles.
cbse
class12
bookproblem
ch11
sec2
q12
p478
medium
sec-b
math
asked
Dec 14, 2012
1
answer
Find the equation of the plane passing through the line of intersection of the planes \(\overrightarrow r. (\hat i + \hat j + \hat k)=1\) and \( \overrightarrow r. (2\hat i + 3\hat j - \hat k) + 4 = 0\) and parallel to \(x\) - axis.
cbse
class12
bookproblem
ch11
misc
q15
p498
difficult
sec-b
modelpaper
2012
q21
math
asked
Dec 14, 2012
1
answer
Find the angle between the pairs of lines: $ \overrightarrow r = 2\hat i - 5 \hat j + \hat k + \lambda (3\hat i + 2\hat j + 6\hat k)\: and \: \overrightarrow r = 7\hat i - 6 \hat k+ \mu (\hat i + 2\hat j + 2\hat k) $
cbse
class12
bookproblem
ch11
sec2
q10-1
p478
easy
sec-b
q10
math
asked
Dec 14, 2012
1
answer
For the differential equations, find the particular solution satisfying the given condition: \[ \bigg[ x \: sin^2 \bigg( \frac{x}{y} - y \bigg) \bigg] dx + xdy = 0; y \frac{\large \pi}{\large 4} when \: x = 1\]
cbse
class12
bookproblem
ch9
sec5
q13
p406
difficult
sec-b
math
asked
Dec 12, 2012
1
answer
Show that the differential equation is homogeneous and solve :$ \bigg( 1 + e^{\Large\frac{x}{y}} \bigg) dx + e^{\Large\frac{x}{y}} \bigg( 1 -\large \frac{x}{y} \bigg) $$dy= 0 $
cbse
class12
bookproblem
ch9
sec5
q10
p406
difficult
sec-b
math
asked
Dec 12, 2012
1
answer
Prove the following: \[ 2 \: tan^{-1} \frac{1}{2} + tan ^{-1} \frac{1}{7} = tan^{-1} \frac{31}{17} \]
cbse
class12
bookproblem
ch2
sec2
q4
p47
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Write the following function in the simplest form: \[ tan^{-1} \frac{\sqrt {1 + x^2} - 1}{x}, x \neq 0\]
cbse
class12
bookproblem
ch2
sec2
q5
p47
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Write the following function in the simplest form: \[ tan^{-1} \frac{1}{\sqrt{x^2 - 1}}, | x | > 1 \]
cbse
class12
bookproblem
ch2
sec2
q6
p47
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Write the following function in the simplest form: \[ tan^{-1} \bigg( \sqrt {\frac{1-cos \: x}{1 + cos \: x}} \bigg), x < \pi\]
cbse
class12
bookproblem
ch2
sec2
q7
p47
easy
sec-b
math
asked
Dec 10, 2012
1
answer
Write the following function in the simplest form: \[ tan^{-1} \bigg( \frac{cos\: x - sin\: x}{cos\: x + sin\: x} \bigg) , 0 < x < \pi \]
cbse
class12
bookproblem
ch2
sec2
q8
p47
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Write the following in the simplest form: $ \tan^{-1} \large \frac{x}{\sqrt {a^2 - x^2}},$$ | x | < a $
cbse
class12
bookproblem
ch2
sec2
q9
p48
easy
sec-b
math
asked
Dec 10, 2012
1
answer
Write the following function in the simplest form:\[ tan^{-1} \bigg( \frac{3a^2x-x^3}{a^3-3ax^2} \bigg), a > 0 ; \frac{-a}{\sqrt 3} \leq x \leq \frac{a}{\sqrt 3} \]
cbse
class12
bookproblem
ch2
sec2
q10
p48
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Find the value of $ \tan^{-1} \bigg[ 2\cos \bigg(2\sin^{-1}\frac{1}{2}\bigg) \bigg] $
cbse
class12
bookproblem
ch2
sec2
q11
p48
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Find the value of \[ \cot \;( \tan^{-1}a + \cot^{-1}a) \]
cbse
class12
bookproblem
ch2
sec2
q12
p48
easy
sec-a
math
asked
Dec 10, 2012
1
answer
Find the value of \[ tan\frac{1}{2} \bigg[ sin^{-1} \frac{2x}{1+x^2} + cos^{-1} \frac{1-y^2}{1+y^2} \bigg], | x | < 1, y > 0 \: and \: xy < 1\]
cbse
class12
bookproblem
ch2
sec2
q13
p48
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Find the value of $x$ if \( sin \bigg ( sin^{-1} \frac{1}{5} + cos^{-1} \: x \bigg) = 1\).
cbse
class12
bookproblem
ch2
sec2
q14
p48
easy
veryshort
sec-a
math
asked
Dec 10, 2012
1
answer
If $ \tan^{-1} \frac{\large x-1}{\large x-2} + \tan^{-1} \frac{\large x+1}{\large x+2} = \frac{\large \pi}{\large 4} $ then find the value of $x$
cbse
class12
bookproblem
ch2
sec2
q15
p48
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Find the values of \[ sin^{-1} \bigg( sin \frac{2\pi}{3} \bigg) \]
cbse
class12
bookproblem
ch2
sec2
q16
p48
easy
sec-a
math
asked
Dec 10, 2012
1
answer
Find the value of the expression in \[ tan^{-1} \bigg( tan \frac{3\pi}{4} \bigg) \]
cbse
class12
bookproblem
ch2
sec2
q17
p48
easy
sec-a
math
asked
Dec 10, 2012
1
answer
Find the values of the expression $ \tan \bigg( \sin^{-1} \frac{3}{5} + \cot^{-1} \frac{3}{2} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q18
p48
medium
sec-b
math
asked
Dec 10, 2012
1
answer
Find the value of the expression $\cos^{-1} \bigg(\cos \frac{\large 7\pi}{\large 6} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q19
p48
easy
sec-a
math
asked
Dec 10, 2012
1
answer
Find the values of each of the expressions in $ \sin \bigg(\frac{\pi}{3} - \sin^{-1} ( -\frac{1}{2} ) \bigg) $ is equal to
cbse
class12
bookproblem
ch2
sec2
q20
p48
easy
sec-a
math
asked
Dec 10, 2012
1
answer
Find the value of $ \tan^{-1} \sqrt 3 - \cot^{-1} (-\sqrt 3)$
cbse
class12
bookproblem
ch2
sec2
q21
p48
easy
sec-a
math
asked
Dec 10, 2012
1
answer
Find the value of: $\cos^{-1} (\cos \large\frac{13\pi}{6} ) $
cbse
class12
bookproblem
ch2
misc
q1
p51
easy
sec-a
math
asked
Dec 10, 2012
1
answer
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