11 - Set Theory and Relations Questions Answers

2(log a+log 2tothe base a+...+log n to the base a
Asked By: CHANDER 3 year ago
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75 persons Major in physics, 83 major in chemistry, 10 not at major in these subjects u want to find number of students majoring in both subjects

Asked By: AKANKSHA MISHRA 5 year ago
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Maths >> Algebra >> Set Theory and Relations Engineering Exam

The number of 5-Sylow subgroup(s) in a group of order 45 is
(A) 1 (B) 2 (C) 3 (D) 4

Asked By: KALPANA SAI 5 year ago
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A multiplication is given below where each letter stands for a single digit number and no two numbers are represented by same letter
AGE
* OAT
---------
SOAR
HOG-
GOTO--
---------------
GECOIR
--------------
1.WHAT IS THE POSSIBLE VALUE OF A?
a)3
b)4
c)7
d)9
2.WHAT IS THE VALUE OF G+A+T+E????
a.16
b.19.
c.24
d.25
3. What is the correlation between S,I,T
a)they are in A.P
b)they are in G.P
c)both (a) and (b)
d)none of these

Asked By: RAJAT JAIN 6 year ago
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How we can find volume of a cube using pythagoras theorem .

Asked By: AVANTIKA PURI 6 year ago
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The minimum value of lzl^2 lz-3l^2 lz-6il^2 (z€C) IS ans.30
Asked By: GAURAV MAHATE 6 year ago
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If the circles zz' a'z az' b=0 and zz' c'z bz' d=0(here z' ,a' and c' are complex cojugate of their corresponding complex no.),b and d are any real number cut orthogonally then Re(ac')? Ans:3
Asked By: GAURAV MAHATE 6 year ago
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Let g(x) be a polynomial function satisfying g(x).g(y) equal to g(x) + g(y) + g(xy)-2 for all x, y belongs to R and g(1) not equal to 1 . If g(3) equal to 10 then g(5) equals a. -24 b. 16 c. 26 d. 34
Asked By: ASHIR ALAM 6 year agoSolved By: HIMANSHU MITTAL
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number of real  values of x satisfying 2log2(x+7x+1)+log2(x+1x-1)=1  is

Asked By: SHUBHAM VED 6 year ago
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

given eq. can be written as log2 [(x+7)/(x+1)]2 + log2 [(x+1)/(x-1)] = 1

or log2 [(x+7)2(x+1)/(x+1)2(x-1)] = 1

or log2 [(x+7)2/(x2-1)] = 1

or (x+7)2/(x2-1) = 2

or x2 + 14x +49 = 2x- 2

or x2-14x -51 = 0

or x = -3, 17

since at x = -3 first part will become negative inside root so it will not be a root.

so only 1 root

The number of solutions of :  4x²-4x+2 = sin² y   &     x²+y² ≤ 3    are ?    (please solve it graphically i am getting one solution by using graph but the answer is 2)

Asked By: AMIT DAS 6 year ago
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

Given eq. can be written as (2x-1)2 + 1 = sin2y

and max. of siny is 1 so only possible value of x = 1/2

and possible values of y = ±nπ/2  where n is odd integer

but by drawing the circle of 2nd eq. we find that only y = ±π/2 are possible values so answer will be 2

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