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Recent questions tagged additionalproblem
Questions
There are two urns.Urn A has 3 distinct red balls and urn B has 9 distinct blue balls.From each urn two balls are taken out at random and then transferred to the other.The number of ways in which this can be done is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q33
sec-b
medium
asked
Jun 20, 2014
by
sreemathi.v
1
answer
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary.The number of words that appear before the word COCHIN is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q32
sec-c
difficult
asked
Jun 20, 2014
by
sreemathi.v
1
answer
The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q31
sec-b
medium
asked
Jun 20, 2014
by
sreemathi.v
1
answer
The number of different ways of distributing 10 marks among 3 questions,each questions carrying atleast 1 mark,is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q30
sec-b
medium
asked
Jun 20, 2014
by
sreemathi.v
1
answer
The number of ways to give away 20 apples to 3 boys,each boy receiving atleast 4 apples is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q29
sec-a
easy
asked
Jun 20, 2014
by
sreemathi.v
1
answer
The number of arrangements of the letters of the word BHARAT taking 3 at a time is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q28
sec-b
medium
asked
Jun 20, 2014
by
sreemathi.v
1
answer
Total number of ways in which 15 identical blanks can be distributed among 4 persons so that each of them gets atleast two blankets is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q27
sec-b
medium
asked
Jun 20, 2014
by
sreemathi.v
1
answer
The number of triangles whose vertices are at the vertices of an octagon but none of whose sides happen to come from the octagon is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q26
sec-c
difficult
asked
Jun 20, 2014
by
sreemathi.v
1
answer
Two numbers are chosen from 1,3,5,7.....147,149 and 151 and multiplied together in all possible ways.The number of ways which will give us the product a multiple of 5 is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q25
sec-c
difficult
asked
Jun 20, 2014
by
sreemathi.v
1
answer
From 4 gentlemen and 6 ladies a committee of five is to be be selected.The number of ways in which the committee can be formed.So that gentlemen are in majority is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q24
sec-b
medium
asked
Jun 20, 2014
by
sreemathi.v
1
answer
ABCD is a convex quadrilateral 3,4,5 and 6 points are marked on the sides AB,BC,CD and DA respectively.The number of triangles with vertices on different sides is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q23
sec-c
difficult
asked
Jun 20, 2014
by
sreemathi.v
1
answer
An urn contains 3 red pens,4 green pens and 6 yellow pens.The number of ways of drawing 4 pens from the urn if atleast one red pen is to be included in the draw is (All the pens are different from each other).
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q22
sec-b
medium
asked
Jun 20, 2014
by
sreemathi.v
1
answer
A class has 30 students .We have to form a team of the students including atleast two students and also excluding atleast two students.The number of ways of forming the team is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q21
sec-b
medium
asked
Jun 20, 2014
by
sreemathi.v
1
answer
Solve the equation $\sec^22x=1-\tan 2x$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 22, 2014
by
sreemathi.v
1
answer
Solve the equation $\sin 9\theta=\sin \theta$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 22, 2014
by
sreemathi.v
1
answer
Solve the equation $\sin mx+\sin nx=0$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
Solve the equation $\sin x\tan x-1=\tan x-\sin x$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
If $(1+\tan A)(1+\tan B)=2$ find all values of $A+B$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
If $\tan(\cot x)=\cot(\tan x)$,prove that $\sin 2x=\large\frac{4}{(2n+1)\pi}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 22, 2014
by
sreemathi.v
1
answer
Solve $3\tan(\theta-15^{\large\circ})=\tan(\theta+15^{\large\circ})$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 22, 2014
by
sreemathi.v
1
answer
Solve the equation :$\tan 2x=-\cot (x+\large\frac{\pi}{6})$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
Solve the equation $\tan\theta+\tan(\theta+\large\frac{\pi}{3})$$+\tan(\theta+\large\frac{2\pi}{3})=$$3$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
If $\cos\theta=\large\frac{\cos\alpha-\cos\beta}{1-\cos\alpha\cos\beta}$ then prove that one of the values of $\tan\large\frac{\theta}{2}$ is $\tan \large\frac{\alpha}{2}$$\cot \large\frac{\beta}{2}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 22, 2014
by
sreemathi.v
2
answers
If $\cos \theta=\cos \alpha.\cos\beta$ prove that $\tan\large\frac{\theta+\alpha}{2}$$\tan\large\frac{\theta-\alpha}{2}=$$\tan^2\large\frac{\beta}{2}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 22, 2014
by
sreemathi.v
1
answer
Prove that $(\cos A+\cos B)^2+(\sin A+\sin B)^2=4\cos^2\large\frac{A-B}{2}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
Prove that $\large\frac{1+\sin \theta-\cos \theta}{1+\sin \theta+\cos \theta}=$$\tan\large\frac{\theta}{2}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
Evaluate : $\sin 18^{\large\circ}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
If $\sin x+\sin y=a$ and $\cos x+\cos y=b$,show that $\sin(x+y)=\large\frac{2ab}{a^2+b^2}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 22, 2014
by
sreemathi.v
1
answer
If $2\tan\alpha=3\tan\beta$,prove that $\tan(\alpha-\beta)=\large\frac{\sin 2\beta}{5-\cos^2\beta}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 22, 2014
by
sreemathi.v
1
answer
Prove that $\tan\alpha\tan(60^{\large\circ}-\alpha)\tan (60^{\large\circ}+\alpha)=\tan 3\alpha$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that $\cos^3A\cos 3A+\sin^3A\sin 3A=\cos^32A$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that $\tan\alpha+2\tan 2\alpha+4\tan 4\alpha+8\cot 8\alpha=\cot\alpha$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that $\tan(\large\frac{\pi}{4}$$+\theta)+\tan(\large\frac{\pi}{4}-$$\theta)=2\sec 2\theta$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that $\tan(60^{\large\circ}+A)\tan(60^{\large\circ}-A)=\large\frac{2\cos 2A+1}{2\cos 2A-1}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that $\sin 20^{\large\circ}\sin 40^{\large\circ}\sin 80^{\large\circ}=\large\frac{\sqrt 3}{8}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
Express the following as the sum difference of cosines and sines $2\cos 7\theta.\cos 3\theta$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-a
easy
asked
May 21, 2014
by
sreemathi.v
1
answer
Express the following as the sum difference of cosines and sines $2\sin 3\theta.\cos\theta$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-a
easy
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that the value of $5\cos \theta+3\cos (\theta+\large\frac{\pi}{3})+$$3$ lies between -4 and 10
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Find the maximum and minimum values of the following expression $3\cos\theta+5\sin (\theta-\large\frac{\pi}{6})$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
Find the sign of the expression $\sin \theta+\cos \theta$ when $\theta=100^{\large\circ}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
If $3\tan \theta\tan\phi=1$ ,prove that $2\cos (\theta+\phi)=\cos (\theta-\phi)$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
If $\alpha$ and $\beta$ are the solution of the equation $a\sec\theta+b\tan\theta=c$,then show that $\tan(\alpha+\beta)=\large\frac{2bc}{b^2-c^2}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that $\cos^2A+\cos ^2B-2\cos A\cos B.\cos(A+B)=\sin^2(A+B)$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that $\tan 70^{\large\circ}=2\tan 50^{\large\circ}+\tan 20^{\large\circ}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Prove that $\cos (45^{\large\circ}-A).\cos(45^{\large\circ}-B)-\sin(45^{\large\circ}-A)\sin(45^{\large\circ}-B)=\sin(A+B)$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
If $A$ and $B$ are positive acute angle and $\cos A=\large\frac{1}{7},$$\cos B=\large\frac{13}{14}$,then show that $A-B=60^{\large\circ}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
Evaluate :$\sin(n\pi+(-1)^n\large\frac{\pi}{4})$ where $n$ is an integer,
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-c
difficult
asked
May 21, 2014
by
sreemathi.v
1
answer
Evaluate $\tan 75^{\large\circ}+\cot 75^{\large\circ}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
Find the value of $\tan 105^{\large\circ}$
cbse
math
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
Evaluate $\sin 105^{\large\circ}+\cos 105^{\large\circ}$
sat
math
trigonometry
cbse
class11
ch3
trigonometric-functions
additionalproblem
sec-b
medium
asked
May 21, 2014
by
sreemathi.v
1
answer
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