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Recent questions tagged class11
Questions
$\lim\limits_{x\to \infty}[x-\sqrt{x^2+x}]$=
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q71
asked
Dec 24, 2013
by
sreemathi.v
1
answer
If $f(5)=15,f'(5)=3$ then $\lim\limits_{x\to 5}\large\frac{xf(5)-5f'(x)}{x-5}$ is
jeemain
math
class11
ch13limits-and-derivatives
derivatives
easy
q69
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to a}\large\frac{\log(x-a)}{\log(e^x-e^a)}$ is
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q68
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to\Large\frac{\pi}{6}}\large\frac{3\sin x-\sqrt 3\cos x}{6x-\pi}$ equals
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q67
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}\large\frac{\cos(\sin x)-1}{x^2}$=
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q66
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to \infty}\big(\large\frac{x+a}{x+b}\big)^{x+b}$=
jeemain
math
class11
chl13
limits-and-derivatives
inttoduction to limits
easy
q65
asked
Dec 24, 2013
by
sreemathi.v
1
answer
If $f(x)=\left\{\begin{array}{1 1}\large\frac{\sin[x]}{[x]}&[x]\neq 0\\0&[x]=0\end{array}\right.$ then
jeemain
math
class11
ch13
limits and derivatives
limits-of-trigonometric-functions
easy
q64
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$f(x)=\large\frac{\log(1+ax)-\log(1-bx)}{x}$ is not defined at $x=0$ .The value which should be assigned to f at $x=0$.So that it is continuous at $x=0$ is
jeemain
math
class11
ch5
continuity and dfferentiability
continuity
easy
q63
asked
Dec 24, 2013
by
sreemathi.v
1
answer
If $\lim\limits_{x\to 0}\large\frac{\sin px}{\tan 3x}$$=4$ then value of p is
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q62
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to \infty}\large\frac{(2x-3)(3x-4)}{(4x-5)(5x-6)}$=
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limts
easy
q61
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to \large\frac{\pi}{4}}\large\frac{\sqrt 2\cos x-1}{\cot x-1}$=
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q59
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}\large\frac{(1-\cos 2x)\sin 5x}{x^2\sin 3x}$=
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q56
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}\large\frac{\sin x-x}{x^3}$=
jeemain
math
class11
ch13
limits-and-derivatives
limits of trigonometric funtions
easy
q55
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to \large\frac{\pi}{4}}\large\frac{\sqrt 2\cos x-1}{\cos x-1}$=
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q53
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}(1+ax)^{\Large\frac{b}{x}}$=
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q52
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 1}\bigg[\large\frac{x^3+2x^2+x+1}{x^2+2x+3}\bigg]^{\Large\frac{1-\cos(x-1)}{(x-1)^2}}$
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q51
asked
Dec 24, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 2}\large\frac{2^x+2^{3-x}-6}{\sqrt{2^{-x}-2^{1-x}}}$ is
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q49
asked
Dec 24, 2013
by
sreemathi.v
1
answer
Value of $\lim_{x\to 2^-}\{x+(x-[x]^2)\}$ is
jeemain
math
class11
ch13
continuity-and-differentiability
differentiability
easy
q46
asked
Dec 24, 2013
by
sreemathi.v
1
answer
If $\lim\limits_{x\to 0}(1+ax)^{\Large\frac{b}{x}}=e^2\qquad(a,b\in N)$ then
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q44
asked
Dec 23, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 1}\large\frac{x^3+x^2-2}{\sin(x-1)}$ is
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q42
asked
Dec 23, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}\big(\large\frac{a^x+b^x+c^x}{3}\big)^{\Large\frac{1}{x}}$ is
jeemain
math
class11
ch13
limits-and-derivatives
introduction of limits
easy
q41
asked
Dec 23, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}\large\frac{(\cos x)^{1/2}-(\cos x)^{1/3}}{\sin^2x}$ is
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q40
asked
Dec 23, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to \infty}\big(\large\frac{x+1}{x+2}\big)^{2x+1}$ is
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q39
asked
Dec 23, 2013
by
sreemathi.v
1
answer
$\lim\limits_{n\to\infty}\bigg[\large\frac{1}{1-n^4}+\frac{1}{1-n^4}+.........+\frac{n^3}{1-n^4}\bigg]$
jeemain
math
class11
ch11
limits-and-derivatives
introduction to limits
easy
q38
asked
Dec 23, 2013
by
sreemathi.v
1
answer
If $f(x)=\mid x-25\mid$ and $g(x)=f(f(x))$,find $g'(x)$ for $x > 50$
jeemain
math
class11
ch13
limits-and-derivatives
differentiability
easy
q36
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Evaluate :$\lim\limits_{x\to 0}(\cos x)^{\large\frac{1}{x^2}}$
jeemain
math
class11
ch13
limits-and-derivatives
limits of trigonometric functiond
easy
q35
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Evaluate :$\lim\limits_{x\to \Large\frac{\pi}{4}}\large\frac{\sqrt 2-\cos x-\sin x}{(4x-\pi)^2}$
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q34
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Evaluate : $\lim\limits_{x\to\large\frac{\pi}{2}}\large\frac{\sin(\cos x)\cos x}{\sin x-cosec x}$
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q33
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Evaluate : $\lim\limits_{x\to 0}\large\frac{e^x-e^{x\cos x}}{x+\sin x}$
jeemain
math
class11
ch13
limits-and- derivatives
limits-of-trigonometric-functions
easy
q32
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Evaluate : $\lim\limits_{x\to 0}(1+\sin x)^{\Large\frac{1}{x^2}}$
jeemain
math
class11
ch13
limits and derivatives
introduction to limits
easy
q31
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Evaluate : $\lim\limits_{h\to 0}\large\frac{(a+h)^2\sin(a+h)-a^2\sin a}{h}$
jeemain
math
class11
ch13
limits and derivatives
derivatives
easy
q30
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Let $f : R\rightarrow [0,\infty]$ be such that $\lim\limits_{x\to 5}f(x)$ exists and $\lim\limits_{x\to 5}\large\frac{(f(x))^2-9}{\sqrt{|x-5|}}$ = 0. Then $\lim\limits_{x\to 5}f(x)$ equals
jeemain
math
class11
ch5
limits and derivatives
introductxion to limits
easy
q28
asked
Dec 23, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 2}\big(\large\frac{\sqrt{1-\cos 2(x-2)}}{x-2}\big)$
jeemain
math
class11
ch11
limits and derivatives
limits on trigonometric functions
easy
q27
asked
Dec 23, 2013
by
sreemathi.v
1
answer
If $\lim\limits_{x\to 0}\large\frac{\log(3+x)-\log(3-x)}{x}$$=K$ the value of $K$ is
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q23
asked
Dec 23, 2013
by
sreemathi.v
1
answer
If $f(x+y)=f(x).f(y) \forall x,y$ and $f(5)=2,f'(0)=3$ then $f'(5)$ is
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q21
asked
Dec 23, 2013
by
sreemathi.v
1
answer
If $f(1)=1,f'(1)=2$ then $\lim\limits\large\frac{\sqrt{f(x)-1}}{\sqrt x-1}$ is
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q20
asked
Dec 23, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}\large\frac{\log x^n-[x]}{[x]}$ $n\in N$ ($x$ denotes greatest integer less than or equal to $x$)
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q19
asked
Dec 23, 2013
by
sreemathi.v
1
answer
Let $f(x)=4$ and $f'(x)=4$. Then $\lim\limits_{x\to 2}\large\frac{xf(2)-2f(x)}{x-2}$ is given by
jeemain
math
class11
ch13
limits-and-derivatives
introduction to limits
easy
q17
asked
Dec 20, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 0}\large\frac{\sin(\pi\cos^2x)}{x^2}$ equals
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q13
asked
Dec 20, 2013
by
sreemathi.v
1
answer
For $x\in R\lim\limits_{x\to \infty}\big(\large\frac{x-3}{x+2}\big)^x$=
jeemain
math
class11
ch13
limits-and-
derivatives
introduction-to-limits
easy
q12
asked
Dec 20, 2013
by
sreemathi.v
1
answer
If $G(x)=-\sqrt{25-x^2}$ then $\lim\limits_{x \to 1}\large\frac{G(x)-G(1)}{x-1}$ has the value
jeemain
math
class11
ch13
limits-and-derivatives
introduction-to-limits
easy
q11
asked
Dec 20, 2013
by
sreemathi.v
1
answer
If $f(x)=\sqrt{\large\frac{x-\sin x}{x+\cos^2x}}$ then $\lim\limits_{x\to \infty}f(x)$ is
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q9
asked
Dec 20, 2013
by
sreemathi.v
1
answer
Find the equation of parabola with vertex (2,-3) and directrix x-4y-48=0.
jeemain
math
class11
coordinate-geometry
conic-sections
parabola
easy
asked
Dec 20, 2013
by
pranav_anshul
1
answer
$\lim\limits_{x\to \infty}\big(\large\frac{x+6}{x+1}\big)^{x+4}$=
jeemain
math
class11
ch13
limits-and-derivatives
introduction-to-limits
easy
q7
asked
Dec 20, 2013
by
sreemathi.v
1
answer
If $f(9)=9,f'(9)=4$ then $\lim\limits_{x\to 9}\large\frac{\sqrt{f(x)}-3}{\sqrt x-3}$ equals
jeemain
math
class11
ch13
limits-and-derivatives
introduction-to-limits
easy
q6
asked
Dec 20, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to -\infty}\bigg[\large\frac{x^4\sin(1/x)+x^2}{(1+|x|^3)}\bigg]$=
jeemain
math
class11
ch13
limits-and-derivatives
limits-of-trigonometric-functions
easy
q5
asked
Dec 20, 2013
by
sreemathi.v
1
answer
$\lim\limits_{x\to 1}(1-x)\tan\large\frac{\pi x}{2}$=__________
jeemain
math
class11
ch13
limits-and-derivative
limits-of-trigonometric-functions
easy
q4
asked
Dec 20, 2013
by
sreemathi.v
1
answer
When a damped spring mass system is forced into oscillations at different frequencies it resonates (amplitude increases and peaks when compared to input amplitude) at its damped natural frequency. For such systems the resonance of acceleration is more when
jeemain
physics
class11
unit10
oscillations-and-waves
difficult
mock
asked
Dec 10, 2013
by
meena.p
1
answer
The phase constant in rad of a simple pendulum whose amplitude of oscillation is 2; initial displacement is 1, initial velocity is 4 units/sec, frequency in rad/sec is 6 is:
jeemain
physics
class11
unit10
oscillations-and-waves
difficult
asked
Dec 10, 2013
by
meena.p
1
answer
The phase constant in radians of a simple pendulum having an initial displacement of 24 units and having an amplitude of .24 is
jeemain
physics
class11
unit10
oscillations-and-waves
medium
asked
Dec 10, 2013
by
meena.p
1
answer
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