Email
Chat with tutors
Login
Ask Questions, Get Answers
Menu
X
home
ask
tuition
questions
practice
papers
mobile
tutors
pricing
X
Questions asked by meena.p
Questions
14353
questions
1
answer selected
Solve for x:$\tan^{-1}(x+1)+\tan^{-1}x+\tan^{-1}(x-1)=\tan^{-1}3.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q23
p6
medium
sec-b
math
asked
Jan 24, 2013
1
answer
Prove that $ \tan^{-1}\large\frac{yz}{xr}+ \tan^{-1}\frac{zx}{yr}+ \tan^{-1}\frac{xy}{zr}=\frac{\pi}{2}\;where\;x^2+y^2+z^2=r^2$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q22
p6
difficult
sec-c
math
asked
Jan 24, 2013
1
answer
If $ \tan^{-1}a+\tan^{-1}b+\tan^{-1}c=\pi,\;prove\;that\;a+b+c=abc.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q21
p6
medium
sec-b
math
asked
Jan 24, 2013
1
answer
Prove: $\cos^{-1}x-\cos^{-1}y=\cos^{-1}\bigg[xy+\sqrt{1-x^2}.\sqrt{1-y^2}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q20
p6
easy
sec-b
math
asked
Jan 24, 2013
1
answer
Solve for x $ \sin^{-1}\frac{2\alpha}{1+\alpha^2}+ \sin^{-1}\frac{2\beta}{1+\beta^2}=2\tan^{-1}x.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q19
p6
medium
sec-b
math
asked
Jan 24, 2013
1
answer
Prove that :$\cot^{-1}\bigg[\frac{ab+1}{a-b}\bigg]+\cot^{-1}\bigg[\frac{bc+1}{b-c}\bigg]+\cot^{-1}\bigg[\frac{ca+1}{c-a}\bigg]=0$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q18
p6
medium
sec-b
math
asked
Jan 24, 2013
1
answer
If $ x= cosec \lfloor\tan^{-1}\{\cos(\cot^{-1}(\sec(\sin^{-1}a)))\}\rfloor\; $ and $ y=\sec\lfloor\cot^{-1}\{\sin(\tan^{-1}(cosec(\cos^{-1}a)))\}\rfloor\;$ where $\;a\;\in [0,1]$ Find the relationship between $x$ and $y$ in terms of $a$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q17
p6
difficult
sec-c
math
asked
Jan 24, 2013
1
answer
In any Triangle ABC, if $ A=\tan^{-1}2\;and\;B=\tan^{-1}3,$prove that $C=\frac{\pi}{4}$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q16
p5
medium
sec-b
math
asked
Jan 24, 2013
1
answer
Prove that $\sin2[\cot^{-1}\{\cos(\tan^{-1}x)\}]=2\frac{\sqrt{x^2+1}}{x^2+2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q15
p5
medium
sec-b
math
asked
Jan 24, 2013
1
answer
If $ \sin^{-1}x+\sin^{-1}y+\sin^{-1}z=\pi,$ prove that $x\sqrt{1-x^2}+y\sqrt{1-y^2}+z\sqrt{1-z^2}=2xyz$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q14
p5
difficult
sec-c
math
asked
Jan 23, 2013
1
answer
If $ \cos^{-1}\frac{x}{a}+\cos^{-1}\frac{y}{b}=\alpha,$prove that $\frac{x^2}{a^2}-\frac{2xy}{ab}\cos \alpha+\frac{y^2}{b^2}=\sin^2\alpha.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q13
p5
medium
sec-b
math
asked
Jan 23, 2013
1
answer
If $x,y,z \in [-1,1]\;$ such that $\;\sin^{-1}x+\sin^{-1}y+\sin^{-1}z=\frac{3\pi}{2},$ find the value of $x^{2006}+y^{2007}+z^{2008}-\Large \frac{9}{x^{2006}+y^{2007}+z^{2008}}$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q12
p5
difficult
sec-a
math
asked
Jan 23, 2013
1
answer
Prove that $4\tan^{-1}\large\frac{1}{5}-\tan^{-1}\frac{1}{70}+\tan^{-1}\frac{1}{99}=\large\frac{\pi}{4}$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q11
p5
medium
sec-c
math
asked
Jan 23, 2013
1
answer
Prove that $\cos\bigg\{2\cot^{-1}\sqrt{\large\frac{1-x}{1+x}}\bigg\}+x=0$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q10
p5
medium
sec-b
math
asked
Jan 23, 2013
1
answer
If $x>0$ and $\sin^{-1}\bigg(\large{\frac{5}{x}}\bigg)+\sin^{-1}\bigg(\frac{12}{x}\bigg)=\large\frac{\pi}{2},$ than find the value of $x$.
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q9
p5
medium
sec-b
math
asked
Jan 23, 2013
1
answer
If $\cos^{-1}x=\tan^{-1}x,\;show\;that\;\sin(\cos^{-1}x)=x^2$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q8
p5
medium
sec-b
math
asked
Jan 23, 2013
1
answer
Find the value of x if $cosec^{-1}x=2\cot^{-1}7+\cot^{-1}\frac{3}{4}$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q7
p5
medium
sec-b
math
asked
Jan 23, 2013
1
answer
Find the principal value of $\sin^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)+\cos^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q6
p5
easy
sec-a
math
asked
Jan 23, 2013
1
answer
Considering the principal solutions, find the number of solutions of $ \tan^{-1}2x+\tan^{-1}3x=\frac{\pi}{4}$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q5
p5
easy
sec-b
math
asked
Jan 23, 2013
1
answer
Simplify $\tan^{-1}\big(\large \frac{\cos x}{1+\sin x}\big)$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q4
p5
medium
sec-b
math
asked
Jan 23, 2013
1
answer
Solve for $x$: $\sin\bigg[\sin^{-1}\frac{1}{3}+\cos^{-1}x\bigg]=1$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q3
p5
easy
sec-a
math
asked
Jan 23, 2013
1
answer
Find the value of $\tan^{-1}1+\tan^{-1}2+\tan^{-1}3.$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q2
p5
easy
sec-b
math
asked
Jan 23, 2013
1
answer
Find the value of $\cos\bigg\{\cos^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)+\frac{\pi}{6}\bigg\}$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q1
p5
easy
sec-a
math
asked
Jan 23, 2013
1
answer
On the set N of natural numbers, define the operation * on N by m*n=gcd(m,n) for all m, n$ \varepsilon$ N. Show that * is commutative as well as associative.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q30
p4
math
sec-b
asked
Jan 23, 2013
0
answers
Determine which of the following functions \[f:R \rightarrow R\;are\;(a)One-One\quad(b)Onto\]\[(i)f(x)=|x|+x\]\[(ii)f(x)=x-[x]\]
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q29
p4
math
sec-a
asked
Jan 23, 2013
0
answers
Let X = {1,2,3,4,5,6,7,8,9}. Let $ R_1\;andR_2$ be relations in x given by \[R_1=\{(x,y):x-y\;is\;divisible\;by\;3\}\;and\]\[R_2=\{(x,y)!\{x,y\} \varepsilon \{1,4,7\}or\{x,y\} \varepsilon \{2,5,8\}\]\[or \{x,y\} \varepsilon \{3,6,9\}\}.\; Show\; that \;R_1=R_2.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q28
p4
math
sec-b
asked
Jan 23, 2013
0
answers
Prove that relation R defined on the set N of natural numbers by \[x\;R\;y \Leftrightarrow 2x^2-3xy+y^2=0\] is not symmetric but it is reflexive.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q27
p4
math
sec-b
asked
Jan 23, 2013
1
answer
Show that the function $ f:N \rightarrow N$ given by $f(x) = x -(-1)^x\;for\;all\;x\; \varepsilon\;N $ is a bijection.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q26
p4
math
sec-b
asked
Jan 23, 2013
0
answers
Define a binary operation $^*$ on the set A = {0,1,2,3,4,5} as \[a*b=\left \{ \begin{array} {1 1} a+b, & \quad \text{ if a+b<6} \\ a+b-6, & \quad { if a+b \geq 6} \end{array} \right.\]Show that zero is an identity element for this operation and each element a of the set is invertiable with 6-a being the inverse of a.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q25
p4
math
sec-b
asked
Jan 23, 2013
0
answers
Let f and g be real valued functions, such that $(fog)(x)=\cos x^3\; and\;(gof)(x)=\cos^3x,$ find the functions f and g.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q24
p4
math
sec-b
asked
Jan 23, 2013
0
answers
Let $f : A \rightarrow B$ be a given function. A relation R in the set A is given by $R = {(a,b) \varepsilon A \times A : f(a) = f(b)}.$ Check, if R is an equivalence relation.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q23
p4
math
sec-b
asked
Jan 23, 2013
1
answer
Prove that the inverse of an equivalence relation is an equivalence relation.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q22
p4
math
sec-b
asked
Jan 23, 2013
0
answers
Let N denote the set of all natural numbers and R be the relation on N x N defined by $ (a,b)R(c,d) \Leftrightarrow ad(b + c) = bc(a + d).$ Show that R is an equivalence relation on N x N.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q21
p4
math
sec-b
asked
Jan 23, 2013
1
answer
Let a relation R on the set R of real numbers defined as $(x,y)\; \varepsilon\;R \Leftrightarrow x^24xy+3y^2\;=\;0.$Show that R is reflexive but neither symmetric nor transitive.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q20
p4
math
sec-b
asked
Jan 23, 2013
0
answers
Let a relation R on the set R of real numbers be defined as $ (a,b) \varepsilon R \Leftrightarrow 1+ ab > 0 for\; all\; a, b\; \varepsilon\; R.$show that R is reflexive and symmetric but not transitive.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q19
p4
math
sec-b
asked
Jan 23, 2013
0
answers
If the function $ f\;:\;R \rightarrow A $ given by $f(x)=\frac{x^2}{x^2+1}$is surjection, find the set A.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q18
p4
math
sec-b
asked
Jan 23, 2013
0
answers
Show that the relation "“congruence modulo 2"” on the set Z (set of integers) is an equivalence relation. Also find the equivalence class of 1.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q17
p3
math
sec-b
asked
Jan 23, 2013
0
answers
Let $f:R_+\rightarrow[-5,\infty) $ given by $f(x)=9x^2+6x-5.$ show that f is invertiable with $ f^{-1}(y)=\frac{\sqrt{y+6}-1}{3}.$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q16
p3
math
sec-b
asked
Jan 23, 2013
1
answer
Show that the relation R on N x N defined by $(a,b)R(c,d)\;\Leftrightarrow \; a+d = b+c $is an equivalence relation.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q15
p3
math
sec-a
asked
Jan 23, 2013
0
answers
If R is a relation on a set $A(A \neq \phi),$ prove that R is symmetric iff $R^{-1} = R$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q14
p3
math
sec-b
asked
Jan 23, 2013
0
answers
If $f(x)=log \big(\frac{1+x}{1-x}\big)$ show that $f(x)+f(y)=f \big(\frac{x+y}{1+xy}\big)$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q13
p3
math
sec-b
asked
Jan 23, 2013
0
answers
Let $ f(x)=\frac{\alpha x}{x+1},x\;\neq\;-1,$ find the value of $\alpha$ such that $f(f(x))=x$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q12
p3
math
sec-a
asked
Jan 23, 2013
0
answers
Let f, g be two functions defined by \[f(x)=\frac{x}{x+1},g(x)=\frac{x}{1-x},\;then\;find\;(fog)^{-1}(x)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q11
p3
math
sec-b
asked
Jan 23, 2013
0
answers
Show that $\frac{1}{\sin^3x}+\cot x+\frac{1}{x^5}+x^3 $ is an odd function.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q10
p3
math
sec-a
asked
Jan 23, 2013
0
answers
If $f(x)=\frac{1+x}{1-x},$show that $f[f(\tan\theta)]= - cot\theta$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q9
p3
math
sec-b
asked
Jan 23, 2013
0
answers
If $f(x)=\frac{5x+3}{4x-5}\big(x\neq\frac{5}{4}\big),$find g(x) such that $gof(x) = x$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q8
p3
math
sec-b
asked
Jan 23, 2013
0
answers
Let $f :R \rightarrow R $ defined by $f(x) = (ax^2+b)^3$ find the function $g :R \rightarrow R $ such that $f(g(x)) = g(f(x))$
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q7
p3
math
sec-b
asked
Jan 23, 2013
0
answers
Let $ \int : {R\; \rightarrow \;R}$ be a function defined by $ f(x) = x^2-3x+4,$ for all $x \in R ,$ find the value of $f^{-1}(2)$.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q6
p3
math
sec-b
asked
Jan 23, 2013
0
answers
Let A = {4,5,0}. Find the number of binary operations that can be defined on A.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q5
p3
math
sec-a
asked
Jan 22, 2013
0
answers
Find the number of One-One functions from a finite set A to A, where n(A) = P
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q4
math
sec-a
asked
Jan 22, 2013
0
answers
Page:
« prev
1
...
284
285
286
287
288
next »
Home
Ask
Tuition
Questions
Practice
Your payment for
is successful.
Continue
...