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Recent questions tagged sec1
Questions
If $A = \begin{bmatrix} 1&1&-2\\ 2&1&-3 \\5&4&-9 \end{bmatrix}$, then find $|A|$
cbse
class12
bookproblem
ch4
sec1
q6
p109
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Evaluate the determinant: $\begin{vmatrix} 3&-1&-2 \\ 0&0&-1 \\3&-5&0 \end{vmatrix}$
cbse
class12
bookproblem
ch4
sec1
q5
q5-1
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
\[ \text{If A = } \begin{bmatrix} 1&0&1 \\ 0&1&2 \\ 0&0&4 \end{bmatrix}, \text{then show that } |\;3A\;| = 27|\;A\;|\]
cbse
class12
bookproblem
ch4
sec1
q4
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
\[ \text{If A = } \begin{bmatrix} 1&2 \\ 4&2 \end{bmatrix}, \text{then show that } |\;2A\;| = 4|\;A;|\]
cbse
class12
bookproblem
ch4
sec1
q3
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Evaluate the determinant: $\begin{vmatrix} cos\theta &-sin\theta \\ sin\theta & cos\theta \end{vmatrix}$
cbse
class12
bookproblem
ch4
sec1
q2
q2-1
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
Evaluate the determinant:$ \begin{vmatrix} 2&4 \\ -5&-1 \end{vmatrix} $
cbse
class12
bookproblem
ch4
sec1
q1
p108
easy
sec-a
math
asked
Nov 28, 2012
by
balaji.thirumalai
1
answer
If $ \sin^{-1} x=y$ then:
cbse
class12
bookproblem
ch2
sec1
q13
p42
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
Find the value of the following:\[cos^{-1} \frac {1} {2} +2 sin^{-1}\frac {1} {2} \]
cbse
class12
bookproblem
ch2
sec1
q12
p42
medium
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the value of the following: \[ tan^{-1} (1) \;+ \; cos^{-1} \frac {-1} {2} + sin^{-1} \frac {-1} {2} \]
cbse
class12
bookproblem
ch2
sec1
q11
p42
easy
sec-b
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: <br> $ \mathrm{cosec}^{-1} (-\sqrt 2) $
cbse
class12
bookproblem
ch2
sec1
q10
p42
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal value of the following: $cos^{-1} \bigg( -\frac {1} {\sqrt 2} \bigg) $
cbse
class12
bookproblem
ch2
sec1
q9
p42
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following : $\cot^{-1} (\sqrt 3) $
cbse
class12
bookproblem
ch2
sec1
q8
p42
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: $sec^{-1} \bigg( \frac {2} {\sqrt 3} \bigg) $
cbse
class12
bookproblem
ch2
sec1
q7
p42
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: $tan^{-1} (-1)$
cbse
class12
bookproblem
ch2
sec1
q6
p41
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: $cos^{-1} \bigg(-\frac {1} {2} \bigg ) $
cbse
class12
bookproblem
ch2
sec1
q5
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: <br>$ tan^{-1} (-\sqrt3)$
cbse
class12
bookproblem
ch2
sec1
q4
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: $cosec^{-1} (2) $
cbse
class12
bookproblem
ch2
sec1
q3
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
1
answer
Find the principal values of the following: <br> $cos^{-1} \bigg(\large\frac { \sqrt 3} {2}\bigg)$
cbse
class12
bookproblem
ch2
sec1
q2
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Find the principal values of the following: <br> $ sin^{-1} \bigg( -\frac {1} {2}\bigg) $
cbse
class12
bookproblem
ch2
sec1
q1
p41
easy
sec-a
math
asked
Nov 28, 2012
by
vaishali.a
2
answers
Determine order and degree (if defined) of differential equation$\bigg(\large\frac{d^2y}{dx^2}\bigg)^2+\normalsize \cos\bigg(\large\frac{dy}{dx}\bigg)=0$
cbse
class12
bookproblem
ch9
sec1
q4
p382
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $\frac{d^2y}{dx^2}=\cos3x+\sin3x$
cbse
class12
bookproblem
ch9
sec1
q5
p382
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $\bigg(\frac{ds}{dt}\bigg)^4 +3s\frac{d^2s}{dt^2}=0$
cbse
class12
bookproblem
ch9
sec1
q3
p382
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $\frac{d^4y}{dx^4}+\sin(y''')=0$
cbse
class12
bookproblem
ch9
sec1
q1
p382
easy
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $y'+5y=0$
cbse
class12
bookproblem
ch9
sec1
q2
p382
easy
short-answer
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $(y''')^2+(y'')^3+(y')^4+y^5=0$
cbse
class12
bookproblem
ch9
sec1
q6
p382
easy
math
sec-a
asked
Nov 27, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $y'''+2y''+y'=0$
cbse
class12
bookproblem
ch9
sec1
q7
p382
easy
short-answer
sec-a
math
asked
Nov 27, 2012
by
sreemathi.v
1
answer
Show that $(p \wedge q)\rightarrow (p \vee q)$ is a tautology.
bookproblem
ch9
sec1
exercise9-3
p168
q7
tnstate
class12
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that $p \rightarrow q$ and $q \rightarrow p$ are not equivalent.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q6
modelpaper
mar-2009
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that $\sim(p\wedge q) \equiv (\sim p)\vee (\sim q)$
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q5
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that p ↔ q ≡ ((∼ p) ∨ q) ∧ ((∼ q) ∨ p)
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q4
modelpaper
mar-2007
jun-2007
oct-2008
mar-2010
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that p ↔ q ≡ (p → q) ∧ (q → p)
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q3
modelpaper
oct-2006
jun-2009
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-1
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Construct the truth tables for the following statement: (p ∧ q) ∨ r
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q10
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement: (p ∨ q) ∨ r
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q9
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement: (p ∧ q) ∨ (∼ q)
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q8
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement: (p ∧ q) ∨ [∼ (p ∧ q)]
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q7
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement: ∼ (p ∨ (∼ q))
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q6
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement: (p ∧ q) ∨ (∼ q)
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q5
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement: (p ∨ q) ∨ (∼ p)
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q4
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement: ∼ (p ∨ q)
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q3
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement: (∼ p) ∧ (∼ q)
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q2
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Construct the truth tables for the following statement :p ∨ (∼ q)
tnstate
class12
bookproblem
ch9
sec1
exercise9-2
p164
q1
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Write negation of the each of the following statements :
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q25
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
If p stands for the statement “Sita likes reading” and q for the statement “Sita likes playing’ what does ∼p ∧ ∼ q stand for?
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q24
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Translate each of the following compound statements into symbolic form:
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q23
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Let p be “Kamala is going to school” and q be “There are twenty students in the class “. Give a simple verbal sentence which describes each of the following statements : (i) p ∨ q (ii) p ∧ q (iii) ∼ p (iv) ∼ q (v) ∼p ∨ q
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q22
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Form the conjunction and the disjunction of (i) p : Anand reads newspaper, q : Anand plays cricket. (ii) p : I like tea. q : I like ice-cream.
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q21
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Find out which of the following sentences are statements and which are not? Justify your answer
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p160
q1-10
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Write down the truth value (T or F) of the following statements
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p160
q11-20
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
If A and B are events such that P(A|B) = P(B|A), then which of the following is true?
cbse
class12
bookproblem
ch13
sec1
q17
p540
sec-a
easy
concepts
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
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