Answers posted by thagee.vedartham

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A simple pendulum suspended in a vehicle has a time period t when the vehic

answered Nov 8, 2017

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The velocity of particle is given by v =(3 i + 6tj ) m / s , where t is ti

answered Nov 7, 2017

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At time T is equals to zero two bodies A and B are at the same point a move

answered Nov 7, 2017

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Two plane mirrors are inclined at each other at fixed angle. If a ray trave

answered Nov 7, 2017

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The end of a rod is given a velocity v find the maximum height reached by t

answered Nov 7, 2017

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if a body is thrown from earth surface with a velocity 15 km/s. What will b

answered Nov 7, 2017

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A shell is fired from a cannon. It explodes in mid air. Its total (A) Mome

answered Nov 7, 2017

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Apparent coefficient of expansion of Mercury with respect to glass is 0.000

answered Nov 7, 2017

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The horizontal component of the earths magnetic field at a place is 0.4G a

answered Nov 7, 2017

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A body,starting from rest and moving with a constant acceleration,covers 10

answered Nov 7, 2017

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Force of friction acting on a body on a horizontal road

answered Nov 6, 2017

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A man pushes wall and fails to displace it. He does

answered Nov 4, 2017

no work is done by the man, as the displacement is zero

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Find out which batsman is more consistent in his performance Average score

answered Nov 3, 2017

The batsman having lesser standard deviation is more consistent. Batsman B is more consistent

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Find the height at which acceleration due to gravity is zero

answered Nov 3, 2017

Theoratically acceleration due to gravity becomeszero on at infinite height . But practically...

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If a glass slab of refractive index 1.5 is immersed in water of refractive

answered Nov 3, 2017

If glass of refractive index 1.5 ( n2) is immersed in water of refractive index 4/3 (n1) , lig...

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V^2=u^2+2as 0+2×gain 30×2 =_/20 By using s=v^2/2(mu×mg) Answer:4m

answered Nov 3, 2017

Incomplete question

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Find if the given operation has identity: $\;\; a \ast b = a^2 + b^2$

answered Mar 20, 2013

Toolbox:An element $e \in N $ is an identify element for operation * if $a \ast e=e \ast a$ for all ...

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Find which of the operations given below has identity: (i) $a \ast b = a - b$.

answered Mar 20, 2013

Toolbox:An element $e \in N $ is an identify element for operation * if $a \ast e=e \ast a$ for all ...

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Find which of the operations given below has identity:$(vi)\;\; a \ast b = ab^2$

answered Mar 20, 2013

Toolbox:An element $e \in N $ is an identify element for operation * if $a \ast e=e \ast a$ for all ...

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Find which of the operations given below has identity:$(v)\;\; a \ast b = \large\frac {ab} {4}$

answered Mar 20, 2013

Toolbox:An element $e \in N $ is an identify element for operation * if $a \ast e=e \ast a$ for all ...

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Find which of the operations given below has identity: $(iv)\;\; a \ast b = (a-b)^2$

answered Mar 20, 2013

Toolbox: An element $e \in N $ is an identify element for operation * if $a \ast e=e \ast a$ for ...

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Find which of the operations given below has identity: $(iii)\;\; a \ast b = a+ab$

answered Mar 20, 2013

Toolbox: An element $e \in N $ is an identify element for operation * if $a \ast e=e \ast a$ for ...

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Let $f : X \to Y$ be an invertible function. Show that the inverse of $f^{-1}$ is $f$, i.e., $(f^{-1})^{-1} = f$.

answered Mar 19, 2013

Toolbox:A function $g$ is called inverse of $f:x \to y$, then exists $g:y \to x$ such that $ gof=I_x...

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Consider$f:\{1,2,3\} \to\{a,b,c\}$ given by $f(1)=a, \,f(2)=b$ and $f(3)=c$. Find $f^{-1} $ and show that $(f^{-1})^{-1} = f$.

answered Mar 19, 2013

Toolbox:A function $g$ is called inverse of $f:x \to y$, then exists $g:y \to x$ such that $ gof=I_x...

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Let $f: R \to R $, be defined as $f(x) = x^4$. Choose the correct answer.

answered Mar 19, 2013

Toolbox: A function $f: X \rightarrow Y$ is one to one or injective function if $\forall x_1, x_2...

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Let $f:\{1,3,4\} \to \{1,2,5\} $ and $g:\{1,2,5\}\to\{1,3\}$ be given by $f = \{(1, 2), (3, 5), (4, 1)\}$ and $ g = \{(1, 3), (2, 3), (5, 1)\}$. Write down $gof$.

answered Mar 19, 2013

Toolbox:Given two functions $f:A \to B $ and $g:B \to C$, then composition of $f$ and $g$, $gof:A \...

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Let $A$ and $B$be sets. Show that$f : A × B \to\; B×A$such that $ f(a,b)\,=\,(b,a)$ is bijective function

answered Mar 18, 2013

Toolbox: A function $f:A \to B$ where for every $x_1,x_2 \in X,f(x_1)=f(x_2)⇒x_1=x_2$ is c

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Check the injectivity and surjectivity of the following functions: $f : R\to R $ given by $ f(x)\; = x^2 $

answered Mar 18, 2013

Toolbox: A function f:A?B where for every x1,x2?X,f(x1)=f(x2)?x1=x2 is called a one-one or inject...

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Let $f : R \to R$ be defined as $f (x) = 3x$. Choose the correct answer:

answered Mar 14, 2013

Toolbox: A function $f: X \rightarrow Y$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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Check the injectivity and surjectivity of the function: $f : N\to N\; given\; by\; f(x)\; = x^2 $

answered Mar 13, 2013

Toolbox: A function $f: A \rightarrow B$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer.(i) $f : R\; \to R\; defined \; by \; f(x)\; =\; 3-4x$

answered Mar 13, 2013

Toolbox: A function $f: X \rightarrow Y$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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Let $A=\{1,2,3\},\; B = \{4,5,6,7\}$ and let $f = \{(1,4),(2,5),(3,6)\}$be a function from $A$ to $B$. Show that $f$ is one-one.

answered Mar 13, 2013

Toolbox: A function $f: X \rightarrow Y$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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Show that the Signum Function $f : R \to R$, given by \[ f(x) = \left\{ \begin{array}{l l} 1, & if \; x \; > 0 \\ 0, & if\; x\;= 0 \text{ is neither one-one nor onto } \\ -1, & if\; x \;< 0 \end{array} \right. \]

answered Mar 13, 2013

Toolbox: A function $f: X \rightarrow Y$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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Let the relation R be defined in N by aRb if 2a+3b=30.Then R=___________________

answered Mar 12, 2013

Toolbox:To get the Relation R in N defined by$a R a$ if $2a+3b=30$ we write the correct pair (a,b) ...

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Give an example of a map$(i)\quad which \;is\; one-one\; but\; not\; onto$

answered Mar 12, 2013

Toolbox: A function $f: X \rightarrow Y$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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Given A={2,3,4},B={2,5,6,7}.Construct an example of each of the following:\begin{array}{1 1}(a)\quad an\;injective\;mapping\;from\;A\;to\;B\\(b)\quad a\; mapping\;from\;A\;to\;B\;which\;is\;not\;injective\\(c)\quad a\;mapping\;from\;B\;to\;A \end{array}

answered Mar 12, 2013

Toolbox: A function $f: A \rightarrow B$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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Let $A=R-\{3\}$ and $B=R-\{1\}$. Consider the function $ f:A \to B$ defined by $f(x)=\large\frac {x-2}{ x-3}$. Is $f$ one-one and onto?

answered Mar 10, 2013

Toolbox: A function $f: X \rightarrow Y$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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Prove that the Greatest Integer Function $f : R \to R$, given by $f (x) = [x]$, is neither one-one nor onto, where $[x]$ denotes the greatest integer less than or equal to $x$.

answered Mar 8, 2013

Toolbox: A function $f: X \rightarrow Y$ where for every $x1, x2 \in X, f(x1) = f(x2) \Rig...

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