Recent questions tagged easy

Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.

asked May 16, 2013 by sreemathi.v

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Classify the following as scalar and vector quantities. $ (v)\;$work done

asked May 16, 2013 by sreemathi.v

1 answer

Classify the following as scalar and vector quantities. $ (iv)\; $velocity.

asked May 16, 2013 by sreemathi.v

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Classify the following as scalar and vector quantities. $ (iii)\; $force.

asked May 16, 2013 by sreemathi.v

1 answer

If $s=r^{3}-4t^{2}+7,$ the velocity when the acceleration is zero is

asked May 16, 2013 by poojasapani_1

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Classify the following as scalar and vector quantities. $ $distance.

asked May 16, 2013 by sreemathi.v

1 answer

The gradient of the tangent to the curve $y=8+4x-2x^{2}$ at the point where the curve cuts the $y$-axis is

asked May 16, 2013 by poojasapani_1

1 answer

Classify the following measures as scalars and vectors. $20m/s^2$

asked May 16, 2013 by sreemathi.v

1 answer

Classify the following measures as scalars and vectors. $10^{-19}$coulomb

asked May 16, 2013 by sreemathi.v

1 answer

If $y=6x-x^{3}$ and $x$ increases at the rate of $5$ units per second, the rate of change of slope when $x=3 $ is

asked May 16, 2013 by poojasapani_1

1 answer

Classify the following measures as scalars and vectors. $40$watt

asked May 16, 2013 by sreemathi.v

1 answer

Classify the following measures as scalars and vectors. $40^\circ$

asked May 16, 2013 by sreemathi.v

1 answer

Classify the following measures as scalars and vectors. $2$ meters north-west

asked May 16, 2013 by sreemathi.v

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If $A,B\:and\: C$ are three finite sets, then $[(A\cup B)\cap C]' $ = ?

asked May 15, 2013 by rvidyagovindarajan_1

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How many proper subsets are there for a set having 5 elements ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

If $V=\{x:\:x+2=0\}$, $\:R=\{x:\:x^2+2x=0\}$ and $\:\:S=\{x:\:x^2+x-2=0\}$, then for what value of $x$, $V=R=S$ ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

If $f=\{(1,5),(2,6),(3,4)\}$ and $g=\{(4,7),(5,8),(6,9)\}$, then $gof$ = ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

Examine the applicability of Mean Value Theorem for all three functions given in $(ii)\;f (x) = [x] \;for\; x \: \in [-2,2]$

asked May 13, 2013 by sreemathi.v

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If $f:R\rightarrow R$ is defined $f(x)=x^2-3$ then $f^{-1}x$ = ?

asked May 13, 2013 by rvidyagovindarajan_1

1 answer

$f:N\rightarrow Z$ is a function defined as $f(n)=\left\{ \begin {array} {1 1} \large\frac{n-1}{2}, \:\:when\:\: n\:\: is\:\: odd \\ -\large \frac{n}{2},\:\:when\:\: n\:\: is\:\: even \\ \end{array} \right.$, then $f$ is

asked May 13, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=x^2\:\:and\:\:g(x)=2^x$ and $fog(x)=gof(x)$ then $x$ = ?

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $$ is a binary operation defined as $ab=3a-b$, then $(23)4=$ ?

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If * is a binary operation defined by a*b=$\frac{ab}{100}$ in $Q^+$ then the inverse element of 0.1 is:

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

Find the vector and cartesian equations of the planes $(b) \quad \text{that passes through the point} \; (1, 4, 6) \; \text{and the normal to the plane is } \hat i-2\hat j + \hat k $

asked May 10, 2013 by rvidyagovindarajan_1

1 answer

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(d)\;5y + 8 = 0 $

asked May 9, 2013 by rvidyagovindarajan_1

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Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(c)\; x + y + z = 1 $

asked May 9, 2013 by rvidyagovindarajan_1

1 answer

Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(b)\; 3y + 4z – 6 = 0 $

asked May 9, 2013 by rvidyagovindarajan_1

1 answer

Find the Cartesian equation of the following planes: (c) $ r .[(s - 2t)\hat i + (3- t) \hat j +(2 s + t) \hat k] = 15$

asked May 8, 2013 by rvidyagovindarajan_1

1 answer

Find the Cartesian equation of the plane $(b)\; \overrightarrow r . (2\hat i +3\hat j - 4\hat k) = 1 $

asked May 8, 2013 by rvidyagovindarajan_1

1 answer

In each of the following cases determine the direction cosines of the normal to the plane and the distance from origin(d) $5y+8=0$

asked May 6, 2013 by rvidyagovindarajan_1

1 answer

In each of the following cases determine the direction cosines of the normal to the plane and the distance from origin(c) $2x+3y-z=5$

asked May 6, 2013 by rvidyagovindarajan_1

1 answer

In each of the following cases,determine the direction cosines of the normal to the plane and also the distance from origin(b) $x+y+z=1$

asked May 6, 2013 by rvidyagovindarajan_1

1 answer

If $A\:and\:B$ are two sets such that $(A-B)\cup B=A$, then what can you say about $A\:and\:B$?

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

What is the domain of $f(x)=\large\frac{[x]+1}{[x]-1}$ where $[x]$ is greatest integer function

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,2,3\}$ then the no. of relations in $A$ containing $(1,2)$ and $(1,3)$ which are reflexive and symmetric but not transitive is

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

If * is binary operation defined in N as ab=$a^3+b^3$ then is

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

Find the angle between the following pair of lines: $ \frac{\large x}{\large 2} = \frac{\large y}{\large 2} = \frac{\large z}{\large 1} \: and\: \frac{\large x-5}{\large 4} = \frac{\large y-2}{\large 1} = \frac{\large z - 3}{\large 8} $

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j - 2\hat k + \lambda (\hat i - \hat j - 2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j - 56\hat k + \mu (3\hat i - 5\hat j - 4\hat k) $

asked Apr 30, 2013 by rvidyagovindarajan_1

1 answer

If $ A=\{x\;/\;x\in\:N, \: $ and $\:x$ is a multiple of $3$ $\leq100\}$ and $B=\{x/x\in\:N\:$ and $\:x$ is multiple of $5$ $\leq\:100\}$, then no. of elements in $(A\times\:B)\cap\:(B\times\:A)\:is$

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

If $ S $ is a set having 10 elements in it and $A$ is a relation in $S$ defined as $A=\{(x,y)$, where $ x,y \in\:S\;$ and $\;x\neq\;y.\}$, then no. of elements in $A$ is

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

The range of $f (x)=\large\frac{1+x^2}{x^2}$ is

asked Apr 28, 2013 by rvidyagovindarajan_1

1 answer

True or False. If two corner points of the feasible region are both optimal solutions of the same type, i.e., both produce the same maximum or minimum, then any point on the line segment joining these two points is also an optimal solution of the same type.

asked Apr 16, 2013 by balaji.thirumalai

1 answer

Let $R$ be the feasible region for a linear programming problem and let $Z = ax + by$ be the objective function. Say $R$ is unbounded, and a maximum or a minimum value of the objective function exists. If so, where can it exist?

asked Apr 16, 2013 by balaji.thirumalai

1 answer

Let $R$ be the feasible region for a linear programming problem and let $Z = ax + by$ be the objective function. Say the objective function Z has both a maximum and a minimum value on R and each of these occurs at a corner point (vertex) of R. For this to be true, R must be unbounded. True or False.

asked Apr 16, 2013 by balaji.thirumalai

1 answer

Let $R$ be the feasible region for a linear programming problem and let $Z = ax + by$ be the objective function. When $Z$ has an optimal value (maximum or minimum), where the variables $x$ and $y$ are subject to constraints described by linear inequalities, this optimal value must occur where in the feasible region?

asked Apr 16, 2013 by balaji.thirumalai

1 answer

True or False. The common region determined by all the constraints including non-negative constraints $\; x, y \geq 0$ of a linear programming problem is called the infeasible region.

asked Apr 16, 2013 by balaji.thirumalai

1 answer

If a matrix has 7 elements, what are the possible order it can have?

asked Apr 10, 2013 by sreemathi.v

1 answer

If A=$\begin{bmatrix}1 & 2& 2\\2 & 1 & 2\\2 & 2&1\end{bmatrix}$ verify that $A^2-4A-5I=0.$

asked Apr 4, 2013 by sreemathi.v

1 answer

Differentiate the following functions with respect to $x:\; sinx(ax+b)$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Is the function $f (x) = 5x – 3$ continuous at $x=5$?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

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