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Recent questions tagged p16

The minimum value of f(x) = |3-x| + |2+x| + |5-x| is \[(a)\;0\qquad(b)\;7\qquad(c)\;8\qquad(d)\;10\]

asked Jan 28, 2013 by meena.p

0 answers

The function $ \Large\frac{\sin(x+\alpha)}{\sin(x+\beta)}$ has no maximum or minimum value if \[(a)\;\beta-\alpha=k\pi\qquad(b)\;\beta-\alpha \neq k\pi\qquad(c)\;\beta-\alpha = 2k\pi\qquad(d)\;None\; of\; these\; where\; k\; is\; an\; integer.\]

asked Jan 28, 2013 by meena.p

0 answers

If $f(x)= \left\{ \begin{array}{1 1} 3x^2+12x-1 & \quad :\;-1\leq x \leq 2 \\37-x & \quad :\;2<x\leq 3 \end{array} \right. $ then\[\begin{array}{1 1}(a)\;f(x)\; is\; increasing\; on\; [-1,2]\\(b)\;f(x)\; is\; continuous\; on\; [-1,3]\\(c)\;f'(2) doesn't \;exist\\(d)\;f(x)\; has\; the\; maximum\; value\; at x = 2\end{array}\]

asked Jan 28, 2013 by meena.p

0 answers

If $\theta$ is the semivertical angle of a cone of maximum volume and given slant height, then $\tan \theta$ is given by \[(a)\;2\qquad(b)\;1\qquad(c)\;\sqrt 2\qquad(d)\;\sqrt 3\]

asked Jan 28, 2013 by meena.p

0 answers

If $ y=a log|x|+bx^2+x $ has its extreme values at x = 1 and x = 2 then\[(a)\;a=2,b=-1\qquad(b)\;a=2,b=-1/2\qquad(c)\;-2,b=1/2\qquad(d)\;none\;of\;these\]

asked Jan 28, 2013 by meena.p

0 answers

The difference between the greatest and the least values of the function $ f(x)=\large\cos x+\large\frac{1}{2}\cos 2x-\frac{1}{3}\cos 3x $ is \[(a)\;2/3\qquad(b)\;8/7\qquad(c)\;9/4\qquad(d)\;3/8\]

asked Jan 28, 2013 by meena.p

0 answers

The co-ordinates of the point p(x,y) in the first quadrant on the ellipse $\Large\frac{ x^2}{8}+\frac{y^2}{18}$=1 so that the area of the triangle formed by the tangent at P and the co-ordinate axes is the smallest are given by \[(a)\;(2,3)\qquad(b)\;(\sqrt 8,0)\qquad(c)\;(\sqrt {18}, 0)\qquad(d)none\;of\;these\]

asked Jan 28, 2013 by meena.p

0 answers

The value of a for which the function $ f(x)=a\sin(x)+\frac{1}{3}\sin 3x.$has an extreme at $ x=\frac{\pi}{3}$ is\[(a)\;1\qquad(b)\;-1\qquad(c)\;0 \qquad(d)\;2\]

asked Jan 28, 2013 by meena.p

0 answers

The function $y=\tan^{-1}x-x $ decreases in the interval of \[(a)\;(1,\infty)\qquad(b)\;(-1,\infty)\qquad(c)\;(-\infty,\infty)\qquad(d)\;(0,\infty)\]

asked Jan 28, 2013 by meena.p

0 answers

The function $ f(x)=2 log (x-2) - x^2+4x+1 $increases in the interval.\[(a)\;(1,2)\qquad(b)\;(2,3)\qquad(c)\;(5/2,3)\qquad(d)\;(2,4)\]

asked Jan 28, 2013 by meena.p

1 answer

The slope of the tangent to the curve represented by $ x=t^2+3t-8\;and\;y=2t^2-2t-5$at the point M(2,-1) is \[(a)\;\frac{7}{6}\qquad(b)\;\frac{2}{3}\qquad(c)\;\frac{3}{2}\qquad(d)\;\frac{6}{7}\]

asked Jan 28, 2013 by meena.p

0 answers

Let f={(1,2)(3,5),(4,1)} and g={(2,3),(5,1),(1,3)}.Then g o f =_ and f o g=.

asked Dec 19, 2012 by sreemathi.v

1 answer

Let the relation R be defined on the set A={1,2,3,4,5}by R={$(a,b):\mid a^2-b^2 \mid <\;8.Then\;R\;is\;given\;by$______________.

asked Dec 19, 2012 by sreemathi.v

1 answer

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

asked Dec 19, 2012 by sreemathi.v

1 answer

Let $\; f:R \rightarrow R$ be given as $\;f(x)=\tan x $. Then $\;f^{-1}(1)$ is

asked Dec 19, 2012 by sreemathi.v

1 answer

Let $f:R \rightarrow R$ be defined by $ f(x)=\left \{ \begin{array}{1 1} 2x:x>3\\x^2:1<1x\leq 3\\ 3x:x\leq1\end{array} \right.$ $Then\;f(-1)+f(2)+f(4)\;is$

asked Dec 19, 2012 by sreemathi.v

1 answer

Let $ f:N\rightarrow R$ be the function defined by $f(x)=\frac{2x-1}{2}\;and\;g:\;Q \rightarrow R $ be another function defined by g(x)=x+2. Then $(g\;o\;f)\frac{3}{2}$ is

asked Dec 19, 2012 by sreemathi.v

1 answer

Let $f:[2,\infty)\rightarrow R $ be the function defined by $f(x)=x^2-4x+5,$ then the range of f is

asked Dec 19, 2012 by sreemathi.v

1 answer

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