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Recent questions tagged medium
Questions
Prove : $\cot 4x(\sin 5x+\sin 3x)=\cot x(\sin 5x-\sin 3x)$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q15
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\sin 2x+2\sin 4x+\sin 6x=4\cos^2x\sin 4x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q14
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\cos(\large\frac{3\pi}{4}$$+x)-\cos(\large\frac{3\pi}{4}$$-x)=-\sqrt 2\sin x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q11
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\sin(n+1)x\sin(n+2)x+\cos(n+1)x\cos(n+2)x=\cos x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q10
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
$\cos (\large\frac{3\pi}{2}+$$x)\cos(2\pi+x)[\cot(\large\frac{3\pi}{2}$$-x)+\cot(2\pi+x)]=1$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q9
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\cos(\large\frac{\pi}{4}$$-x)\cos (\large\frac{\pi}{4}$$-y)-\sin(\large\frac{\pi}{4}$$-x)\sin (\large\frac{\pi}{4}$$-y)=\sin (x+y)$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q6
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $2\sin ^2\large\frac{3\pi}{4}$$+2\cos^2\large\frac{\pi}{4}$$+2\sec^2\large\frac{\pi}{3}$$=10$
sat
trigonometry
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q4
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\cot^2\large\frac{\pi}{6}$$+cosec \large\frac{5\pi}{6}$$+3\tan^2\large\frac{\pi}{6}$$=6$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q3
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $2\sin^2\large\frac{\pi}{6}+$$cosec ^2\large\frac{7\pi}{6}$$\cos^2\large\frac{\pi}{3}=\large\frac{3}{2}$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q2
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\sin^2\large\frac{\pi}{6}$$+\cos^2\large\frac{\pi}{3}$$-\tan^2\large\frac{\pi}{4}=-\frac{1}{2}$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q1
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Find the values of other five trignometric function $\tan x=\large\frac{-5}{12}$,$x$ lies in the second quadrant
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-2
q5
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Find the values of other five trignometric function $\sec x=\large\frac{13}{5}$,$x$ lies in the fourth quadrant
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-2
q4
sec-b
medium
asked
Apr 16, 2014
by
sreemathi.v
1
answer
Find the values of other five trignometric function $\cot x=\large\frac{3}{4}$,$x$ lies in the third quadrant
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-2
q3
sec-b
medium
asked
Apr 16, 2014
by
sreemathi.v
1
answer
Find the values of other five trignometric function $\sin x=\large\frac{3}{5}$,$x$ lies in the second quadrant
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-2
q2
sec-b
medium
asked
Apr 16, 2014
by
sreemathi.v
1
answer
Find the values of other five trignometric function $\cos x=-\large\frac{1}{2}$,$x$ lies in the third quadrant
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-2
q1
sec-b
medium
asked
Apr 16, 2014
by
sreemathi.v
1
answer
If in two circles arcs of the same length subtend angles $60^{\large\circ}$ and $75^{\large\circ}$ at the centre,find the ratio of their radii
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-1
q6
sec-b
medium
asked
Apr 16, 2014
by
sreemathi.v
1
answer
In a circle of diameter 40cm,the length of a chord is 20cm.Find the length of the minor arc of the chord
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-1
q5
sec-b
medium
asked
Apr 16, 2014
by
sreemathi.v
1
answer
Find the degree measures of the angle subtended at the centre of a circle of radius 100cm by an arc of length 22cm (use $\pi=\large\frac{22}{7})$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-1
q4
sec-b
medium
asked
Apr 16, 2014
by
sreemathi.v
1
answer
$a,b\in R$,roots of $x^2+ax+b=0$ are $\alpha,\beta$ and roots of $x^2+bx+a=0$ are $\alpha+k,\beta+k$ where $k\neq 0$.$\alpha,\beta,k$ are real,a & b are positive,then
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b\in R$,roots of $x^2+ax+b=0$ are $\alpha,\beta$ and roots of $x^2+bx+a=0$ are $\alpha+k,\beta+k$ where $k\neq 0$.If $ab=\lambda$,then interval for $\lambda$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b\in R$,roots of $x^2+ax+b=0$ are $\alpha,\beta$ and roots of $x^2+bx+a=0$ are $\alpha+k,\beta+k$ where $k\neq 0$.Which of the following is true?
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.$b+c$ is maximum when common root is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.$(a+b+c)$ is minimum when common root is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.(a+b+c) is maximum when common root is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$a,b,c$ are natural no and equations $x^2-5x+a=0,x^2-6x+b=0,x^2-8x+c=0$ have exactly one root in common and common root is also a natural no.The common root is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
The set of values of 'a' for which roots of equation $3x^2+2x+(a-1)a=0$ are of opposite sign
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
$\sin \theta$ and $\cos\theta$ are roots of equation $ax^2+bx+c=0$ then,
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
The value of P for which the sum of squares of roots of equation $x^2-(p-2)x-(p+1)=0$ attains the least value is :
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
Roots of equation $x^2+px-q=0$ are $\tan 30^{\large\circ}$ and $\tan 15^{\large\circ}$,then value of $2-q-p$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
If one root of $(a^2-5a+3)x^2+(3a-1)x+2=0$ is double the other,then the value of a is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 15, 2014
by
sreemathi.v
1
answer
If one root of the equation $8x^2-6x-k-3=0$ is square of other,then value of $k$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Values of $\lambda$ for which $(\lambda^2-5\lambda+6)x^2+(\lambda-3\lambda+2)x+\lambda^2-4=0$ is an identity in x is:
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
$\alpha^2=5\alpha-3,\beta^2=5\beta-3\quad(\alpha\neq \beta)$,then the equation whose roots are $\large\frac{\alpha}{\beta}$ and $\large\frac{\beta}{\alpha}$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
The equation whose roots A.M=9 and G.M=4 is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Roots of equation $(b-c)x^2+(c-a)x+(a-b)=0$ are
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Number of roots of equation $x-\large\frac{2}{x-1}$$=1-\large\frac{2}{x-1}$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
If $\alpha,\beta$ are the roots of $ax^2+bx+c=0$ then equation whose roots are $2+\alpha,2+\beta$ are
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Roots of the equation $12x^2+mx+5=0$ are in the ratio $3 : 2$,then $m$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
If $x$ is real,$\large\frac{x^2+3yx-71}{x^2+2x-7}$ cannot lie between
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Range of $y=\large\frac{x+2}{2x^2+3x+6}$ if $x$ is real is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
The range of $y=\large\frac{x^2-x+1}{x^2+x+1}$ if $x$ is real
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
If $ax^2-bx+5=0$ does not have two distinct real roots,then minimum value of $5a+b$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
$\alpha,\beta$ are roots of equation $ax^2+bx+c=0$.Equation whose roots are $\large\frac{1-\alpha}{\alpha}$ and $\large\frac{1-\beta}{\beta}$ are
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 14, 2014
by
sreemathi.v
1
answer
Find the real numbers x and y if $\;(x-iy)(3+5i)\;$ is the conjugate of $\;-6-24i$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-c
asked
Apr 14, 2014
by
yamini.v
1
answer
Find the modulus and argument of the complex number $\;\large\frac{1+2i}{1-3i}$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-c
asked
Apr 14, 2014
by
yamini.v
1
answer
Let $\;z_{1}=2-i\;,z_{2}=-2+i\;$. Find (i)$\;Re(\large\frac{z_{1}z_{2}}{\overline{z_{1}}})\;,$ (ii) $\;Im(\large\frac{1}{z_{1} \overline{z_{2}}})$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-c
asked
Apr 14, 2014
by
yamini.v
1
answer
If $\;a+ib =\large\frac{(x+i)^{2}}{2x^{2}+1}\;$ , find $\;a^{2} +b^{2}$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-b
asked
Apr 11, 2014
by
yamini.v
1
answer
If $\;z_{1}=2-i\;,z_{2}=1+i\;$ find $\;|\large\frac{z_{1}+z_{2}+1}{z_{1}-z_{2}+i}|$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-b
asked
Apr 11, 2014
by
yamini.v
1
answer
Solve the equation : $\;21x^{2}-28x+10=0\;$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-b
asked
Apr 11, 2014
by
yamini.v
1
answer
Solve the equation : $\;27x^{2}-10x+1=0\;$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-misc
medium
sec-b
asked
Apr 11, 2014
by
yamini.v
1
answer
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