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Recent questions tagged class11
Questions
If $n\in N$, then the value of $\displaystyle\sum_{r=0} ^{n} (-1)^r \large\frac{^nC_r}{^{r+2}C_r}$ is
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
difficult
asked
Oct 15, 2013
by
rvidyagovindarajan_1
1
answer
If $\sqrt{a+b}\tan\large\frac{\theta}{2}$$=\sqrt{a-b}\tan\large\frac{ \phi}{2}$ then $(b-a\sec \theta)(b+a\cos\phi)$ has maximum value $\lambda$ then $\lambda$ is
jeemain
math
class11
ch3
trigonometric-functions
q24
trignometric-equations
medium
asked
Oct 15, 2013
by
sreemathi.v
1
answer
The expression $P(x)$ = $\big(\sqrt {x^5-1}+x\big)^7$ - $\big(\sqrt {x^5-1}-x\big)^7$ is a polynomial of what degree?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
medium
asked
Oct 15, 2013
by
rvidyagovindarajan_1
1
answer
$\cos\large\frac{\pi}{11}$$\cos\large\frac{2\pi}{11}$$\cos\large\frac{3\pi}{11}..........$$\cos\large\frac{11\pi}{11}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q23
basic-trigonometric-functions
medium
asked
Oct 15, 2013
by
sreemathi.v
1
answer
If $a\cos 2\theta+b\sin 2\theta=c$ has $\alpha$ & $\beta$ as its solutions then $\tan\alpha+\tan\beta$ and $\tan\alpha\tan\beta$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q22
trignometric-equations
medium
asked
Oct 15, 2013
by
sreemathi.v
1
answer
Let $f(x)=\cos x(\sin x+\sqrt{\sin^2 x+\sin^2\theta})$ where $\theta$ is a given constant then maximum value of $f(x)$ is
jeemain
math
class11
ch3
trigonometric-functions
q21
basic-trigonometric-functions
medium
asked
Oct 15, 2013
by
sreemathi.v
1
answer
If $\sin\alpha\sin\beta-\cos\alpha\cos\beta+1=0$ then the value of $\cot\alpha\tan\beta$ is
jeemain
math
class11
ch3
trigonometric-functions
q20
trignometric-equations
medium
asked
Oct 15, 2013
by
sreemathi.v
1
answer
If $\alpha,\beta,\gamma,\delta$ are the solutions of the equation $\tan\big(\theta+\large\frac{\pi}{4}\big)=$$3\tan 3\theta$,no two of which have equal tangents,then the value of $\tan\alpha+\tan\beta+\tan\gamma+\tan\delta$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q19
trignometric-equations
medium
asked
Oct 15, 2013
by
sreemathi.v
1
answer
If $\cos A=m\cos B$ and $\cot\large\frac{A+B}{2}$$=\lambda\tan\large\frac{B-A}{2}$ then $\lambda$ is
jeemain
math
class11
ch3
trigonometric-functions
q18
trignometric-equations
medium
asked
Oct 15, 2013
by
sreemathi.v
1
answer
If $x\in(\pi,2\pi)$ and $\large\frac{\sqrt{1+\cos x}+\sqrt{1-\cos x}}{\sqrt{1+\cos x}-\sqrt{1-\cos x}}$$=\cot\big(a+\large\frac{x}{2}\big)$ then $'a'$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q17
trignometric-identities
medium
asked
Oct 15, 2013
by
sreemathi.v
1
answer
The digit at unit place in the number $17^{1995}+11^{1995}-7^{1995}$ is ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
medium
asked
Oct 14, 2013
by
rvidyagovindarajan_1
1
answer
$\large\frac{\tan 3x}{\tan x}$ lies between
jeemain
math
class11
ch3
trigonometric-functions
q15
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
The coefficient of $x^5$ in the expansion of $(1+x)^{21}$ + $(1+x)^{22}$ + ...... + $(1+x)^{30}$ is
jeemain
math
class11
ch8
binomial-theorem
properties-and-applications
medium
asked
Oct 14, 2013
by
rvidyagovindarajan_1
1
answer
Find the value of $\sin 67\large\frac{1}{2}^{\large\circ}$ & $\cos 67\large\frac{1}{2}^{\large\circ}$
jeemain
math
class11
ch3
trigonometric-functions
q14
angles
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
The value of $\sqrt{2+\sqrt{2+\sqrt{2+2\cos 8\theta}}}$ where $\theta < \theta<\large\frac{\pi}{8}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q13
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
If $\sin\theta=n\sin(\theta+2\alpha)$ then $tan(\theta+\alpha)$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q12
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
If $P_n$ denotes the product of binomial coeff. in the expansion of $(1+x)^n$, then $\large\frac{P_{n+1}}{P_n}$=?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
difficult
asked
Oct 14, 2013
by
rvidyagovindarajan_1
1
answer
If $\sin\alpha+\sin\beta=\alpha$ and $\cos\alpha+\cos\beta=b$ then $\sin(\alpha+\beta)$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q11
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
If $\tan\alpha=\large\frac{1}{\sqrt{x(x^2+x+1)}}$,$\tan\beta=\large\frac{\sqrt x}{\sqrt{x^2+x+1}}$ and $\tan\gamma=\sqrt{x^{-3}+x^{-2}+x^{-1}}$ then $\alpha+\beta$ is
jeemain
math
class11
ch3
trigonometric-functions
q10
trignometric-identities
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
The coeff. of $x^n$ in the expansion of $(1+x)(1-x)^n$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Oct 14, 2013
by
rvidyagovindarajan_1
1
answer
If $\tan A-\tan B=x$ and $\cot B-\cot A=y$ then $\cot(A-B)$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q9
trignometric-identities
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
$^nC_0^2$ + $^nC_1^2$ + $^nC_2^2$ + ...... + $^nC_n^2$ = ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
medium
asked
Oct 14, 2013
by
rvidyagovindarajan_1
1
answer
The value of $\sqrt{\large\frac{1+\cos\theta}{1-\cos\theta}}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q8
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
The value of $\sqrt{\large\frac{1-\sin\theta}{1+\sin\theta}}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q7
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
If $\alpha+\beta=\large\frac{\pi}{2}$ and $\beta+\gamma=\alpha$ then $\tan \alpha$ equals
jeemain
math
class11
ch3
trigonometric-functions
q6
trignometric-identities
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
The number of distinct real roots of $\begin{vmatrix}\sin x&\cos x&\cos x\\\cos x&\sin x&\cos x\\ \cos x&\cos x&\sin x\end{vmatrix}=0$ in the interval $-\large\frac{\pi}{4}$$\leq x\leq \large\frac{\pi}{4}$ is
jeemain
math
class11
ch3
trigonometric-functions
q5
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
If $\large\frac{\sin^4x}{2}+\frac{\cos^4x}{3}=\frac{1}{5}$ then
jeemain
math
class11
ch3
trigonometric-functions
q4
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
The sides of a triangle inscribed in a given circle .Subtend angles of $\alpha,\beta$ and $\gamma$ at the centre.The minimum value of the arithemetic mean of $\cos(\alpha+\pi/2),\cos(\beta+\pi/2)$ and $\cos(\gamma+\pi/2)$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q3
trignometric-equations
medium
asked
Oct 14, 2013
by
sreemathi.v
1
answer
The coefficient of the term independent of $x$ in the expansion of
$(1+x+2x^3)\bigg(\large\frac{3}{2}$$x^2-\large\frac{1}{3x}$$\bigg)^9$ is
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
difficult
asked
Oct 12, 2013
by
rvidyagovindarajan_1
1
answer
If the sum of the coefficients in the expansion of $(x+y)^n $ is 4096, then the greatest coefficient in the expansion is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
medium
asked
Oct 12, 2013
by
rvidyagovindarajan_1
1
answer
The value of $^nC_0-^nC_1$ + $^nC_2-......$ + $(-1)^n$ $^n C_n$ = ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
easy
asked
Oct 12, 2013
by
rvidyagovindarajan_1
1
answer
The coefficient of $x^m$ in the expansion 1 + $(1+x)$ + $(1+x)^2$ + ..... + $(1+x)^n$ is
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
difficult
asked
Oct 12, 2013
by
rvidyagovindarajan_1
1
answer
In the expansion of $(1+x)^m.(1-x)^n, $ the coefficients of $x$ and $x^2$ are $3$ and $-6$ respectively, then $m=?$
jeemain
math
class11
ch8
binomial-theorem
properties-and-applications
medium
asked
Oct 12, 2013
by
rvidyagovindarajan_1
1
answer
The value of $\sin\large\frac{\pi}{14}$$\sin\large\frac{3\pi}{4}$$4\sin\large\frac{5\pi}{14}$$\sin\large\frac{7\pi}{14}$$\sin\large\frac{9\pi}{14}$$\sin\large\frac{11\pi}{14}$$\sin\large\frac{13\pi}{14}$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q2
basic-trigonometric-functions
medium
asked
Oct 11, 2013
by
sreemathi.v
1
answer
Suppose $\sin^2x\sin 3x=\sum\limits_{m=0}^{n}C_m\cos mx$ is an identity in $x$ where $C_0,C_1.......C_n$ are constants and $C_n\neq 0$ then the value of n is
jeemain
math
class11
ch3
trigonometric-functions
q1
basic-trigonometric-functions
medium
asked
Oct 11, 2013
by
sreemathi.v
1
answer
The angles of a triangle are in the ratio 3 : 4 : 5.Find the smallest angle in degrees and the greatest angle in radians
jeemain
math
class11
ch3
trigonometric-functions
q90
angles
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
Evaluate $40^{\large\circ}30'$
jeemain
math
class11
ch3
trigonometric-functions
q89
angles
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
The area of $\Delta$le ABC in which $a=2,b=2.\angle C=60^{\large \circ}$ is
jeemain
math
class11
ch3
trigonometric-functions
q79
angles
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
If in $\Delta ABC\; \tan\large\frac{A}{2}=\frac{5}{6}$ and $\tan\large\frac{C}{2}=\frac{2}{5}$ then $a,b,c$ are such that
jeemain
math
class11
ch3
trigonometric-functions
q78
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
In a $\Delta$le ABC $a:b:c=4:5:6$.The ratio of the radius of the circle to that of the incircle is
jeemain
math
class11
ch3
trigonometric-functions
q77
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
If $\alpha+\beta=\large\frac{\pi}{2}$ and $\beta+\gamma=\alpha$ then $\tan\alpha$ equals
jeemain
math
class11
ch3
trigonometric-functions
q75
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
If $\large\frac{2\sin\alpha}{1+\cos\alpha+\sin\alpha}$$=x$ then $\large\frac{1-\cos\alpha+\sin\alpha}{1+\sin\alpha}$=?
jeemain
math
class11
ch3
trigonometric-functions
q74
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
Let $\theta\in \big(0,\large\frac{\pi}{4}\big)$ and $t_1=(\tan\theta)^{\large\tan\theta}$,$t_2=(\tan\theta)^{\large\cot\theta}$,$t_3=(\cot\theta)^{\large\tan\theta},t_4=(\cot\theta)^{\large \cot\theta}$ then
jeemain
math
class11
ch3
trigonometric-functions
q72
basic-trigonometric-functions
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
The number of solutions of the pair of equations $2\sin^2\theta-\cos 2\theta=0,2\cos^2\theta-3\sin\theta=0$.In the interval $[0,2\pi]$ is
jeemain
math
class11
ch3
trigonometric-functions
q71
trignometric-equations
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
In $\Delta ABC$ if $\large\frac{1}{b+c}+\frac{1}{c+a}=\frac{3}{a+b+c}$ then $c$ is equal to
jeemain
math
class11
ch3
trigonometric-functions
q70
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
In a $\Delta$le ABC let $\angle C=\large\frac{\pi}{2}$ if $r$ is the radius and R is the circumference of the $\Delta$le ABC then $2(r+R)$ equals
jeemain
math
class11
ch3
trigonometric-functions
q69
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
If the angles $A,B,C$ of a $\Delta$le are in arithmetic progression and if $a,b$ and $c$ denote the lengths of the sides opposite to $A,B$ and $C$ respectively,then the value of the expression $\large\frac{a}{c}$$\sin 2C+\large\frac{c}{a}$$\sin 2A$ is
jeemain
math
class11
ch3
trigonometric-functions
q68
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
Find the area of the $\Delta$ if $a=18,b=24,c=30$
jeemain
math
class11
ch3
trigonometric-functions
q67
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
The maximum value of $3\cos\theta+4\sin\theta$ is
jeemain
math
class11
ch3
trigonometric-functions
q66
trignometric-equations
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
In $\Delta ABC$ $a=3,b=5,c=6$ find the value of $\sin\large\frac{A}{2}$
jeemain
math
class11
ch3
trigonometric-functions
q65
trignometric-identities
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
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