Doubtnut
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4:20
Differentiate each of the following from first principle: ltmath gt
ltmrow gt
ltmfrac gt
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1:26
Find out whether the following sentence is a statement or
not. Justify your answer: The prod
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2:01
Write the negation of the following statement: All mathematician s are
man.
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2:56
Check the validity of the statement given below by contradiction method. `p :`
The sum of an i
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2:59
A coin is
tossed repeatedly until a tail comes up for the first time. Write the sample
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2:04
Give an example of a relation which is symmetric
but neither reflexive nor transitive.
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8:07
Show that the relation ltmath gt
ltmi gtR lt/mi gt
lt/math gt
on the set ltmath gt
ltmrow
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2:11
Let ‘*’ be a binary
operation on ltmath gt
ltmi gtN lt/mi gt
lt/math gt
given by lt
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2:28
Let ltmath gt
ltmi gtA lt/mi gt
lt/math gt
be any set containing
more than one element.
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2:30
The binary operation *
is defined by ltmath gt
ltmrow gt
ltmi gta lt/mi gt ltmo gt* lt/m
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2:18
ltmath gt
ltmrow gt
ltmsup gt
ltmi gtQ lt/mi gt
ltmo gt+ lt/mo gt
lt/msup gt
lt/mrow gt
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8:05
If `A_alpha=[cosalphasinalpha-sinalphacosalpha]` , then prove that `A_alphaA_beta=A_(alpha+beta)...
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2:03
If `y=Acosn x+Bsinn x ,` show that `(d^2y)/(dx^2)+n^2\\ y=0` .
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2:32
If `y=log(1+cosx)` , prove that `(d^3y)/(dx^3)+(d^2y)/(dx^2)dot(dy)/(dx)=0` .
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3:32
Find the points of local maxima and local minima, if any, and local maximum and local minimum va...
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4:39
Integrate: `intsinxcos2xsin3x\\ dx`
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3:29
Evaluate: (i) `int1/(1+sqrt(x))\\ dx` (ii) `inte^cos^(2x)sin2x\\ dx`
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1:56
Determine the order and degree of the following differential equation. State also whether they a...
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2:07
Solve the following initial value problem: `x(dy)/(dx)+1=0; y(-1)=0`
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2:33
Take three collinear point `A ,\\ B` and `C\\ ` on a page of your note book. Join `A B ,\\ B C` ...
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1:45
Two angles of a triangle are of measures `75^0\\ a n d\\ 35^0` find the measure of the third angle.
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2:51
Factorize: (a) `(y-x)a+(x-y)b` (b)`9(a-2b)^2+6(2b-a)` (c)`(x-2y)^2-4x+8y` (d)`2a+6b-3(a+3b)^2`
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4:37
Factorize each of the following algebraic expressions: (1) `9a^4-24 a^2b^2+16 b^4-256` (2)`16-a^...
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52:29
IIT JEE DROPPERS BATCH | QUADRATIC EQUATION | METHOD TO SOLVE EXPONENTIAL INEQUATIONS