Relations And Functions, Popular Questions: Jee 2 year MATHS, Math

Pranav Sulakshya Trivedi asked a question

Subject: Maths, asked on on 27/5/16

log (base 4)28.log (base 3/7)4.log (base 3)3/7 is greater than

a)3
b)4
c)5
d)6

Pranav Sulakshya Trivedi asked a question

Subject: Maths, asked on on 27/5/16

if log(base 2a)a=x, log(base 3a)2a=y, log(base 4a)3a=z, then xyz-2yz is equal to

a)1
b)-1
c)-2
d)2

Hemant asked a question

Subject: Maths, asked on on 29/8/17

Let f(x) = x^2 + ax + bcosx, a being an integer and b is a real number. The number of ordered pairs (a,b) for which the equation f(x)=0 and f(f(x))=0 have the same (non empty) set of real roots is :

Atharva Gulhane asked a question

Subject: Maths, asked on on 9/7/16

5^2x - 7^x - 5^2x* 35 + 7^x* 35 = 0
find value of x??

Krishna Vamsi asked a question

Subject: Maths, asked on on 6/9/16

the range of f(x)=6 sin x+8 cos x+3 is?

Pranav Sulakshya Trivedi asked a question

Subject: Maths, asked on on 27/5/16

if (log a)/(b-c)=(log b)/(c-a)=(log c)/a-b, then a^(b+c).b^(c+a).c(a+b)=

a)1
b)0
c)2
d)3

Hemant asked a question

Subject: Maths, asked on on 28/8/17

Let f(x) be a polynomial of degree 5 with leading coefficient unity such that f(1)=5 , f(2)=4, f(3)=3 , f(4)=2 , f(5)=1. Then f(6) =

Prathamesh Varhadpande asked a question

Subject: Maths, asked on on 27/4/17

The Domain of f(x) =log₁_/2.log₄.log₃[(x-lambda)²] (where [ ] denotes the greatest integer function) is (-infinity,2] U [6,infinity) , then thevalue of lambda is:-

Pranav Sulakshya Trivedi asked a question

Subject: Maths, asked on on 27/5/16

Given f(x)=[1/3+x/66], then sigma(x=1 to 66) f(x) is

a)21
b)23
c)30
d)66

Adithya asked a question

Subject: Maths, asked on on 28/5/16

let f(x)=max{1+sinx,1-cosx,1} for all x belongs to [0,2pi] and g(x)=max{1,|x-1|} for all x belongs to R determine f(g(x)) and g(f(x)) in terms of x. where max() fn will return the maximum of its elements also find the equivalent def of f(x)and g(x)

Hemant asked a question

Subject: Maths, asked on on 31/8/17

Let f(x) = x^3 - 3x + 1. Find the number of different real solution of the equation f(f(x)) = 0

Adithya asked a question

Subject: Maths, asked on on 25/4/16

what is the domain of the following functions

1. 1/sqrt(4x-|x^2 -10x +9|)

2. sin-1 (1/|x^2 -1|) + 1/sqrt(sin^2 x +sinx +1)

3. squt(sin-1 (3x-4x^3)) +squt(cos-1 (x))

cos-1 is cos inverse of sin-1 is sin inverse of ^represents to the power

Krishna Vamsi asked a question

Subject: Maths, asked on on 6/9/16

the range of f(x)=lx-2l+lx-12l is ?

Hemant asked a question

Subject: Maths, asked on on 29/8/17

Let f:[0,5] ->[0,5] be an invertible function defined by f(x) = ax^2 + bx + c, where abc is not equal to zero, then the roots of equation cx^2 + bx + a are:

Sai Prasad B asked a question

Subject: Maths, asked on on 25/5/17

pls answer this
f:R->R, f(x)=(ax^2 +6x -8)/(a+6x-8x^2) is onto then range of a is?

Hemant asked a question

Subject: Maths, asked on on 25/6/17

If f(x) = sqrt{ cos(sin x)} + sqrt{ sin(cos x)} then range of f(x) is

Hemant asked a question

Subject: Maths, asked on on 31/8/17

If P(x) is a polynomial of degree 4 such that P(-1)=P(1)=5 and P(-2)=P(0)=P(2)=2 then find the maximum value of P(x)

Adarsh Saxena asked a question

Subject: Maths, asked on on 21/1/17

My question is written in the image below (with red colour):

Pranav Sulakshya Trivedi asked a question

Subject: Maths, asked on on 27/5/16

Find the domain of :
f(x)=(4^x-44^x)^1/2 + 3^x/log₄(1-x)

Pranav Sulakshya Trivedi asked a question

Subject: Maths, asked on on 27/5/16

Given that x and y satisfy the relation

y=3[x]+7
y=4[x-3]+4 then find [x+y].

Yatharth asked a question

Subject: Maths, asked on on 25/8/16

Q10 c and d

Pawan Meena asked a question

Subject: Maths, asked on on 19/8/17

please explain the marked step

Harsh Sharma asked a question

Subject: Maths, asked on on 27/5/16

prove it loga^b = logc^b / logc^a plzzzzzzzzzz ans fast

Pranav Sulakshya Trivedi asked a question

Subject: Maths, asked on on 27/5/16

Solve : 2log₂(log₂x) + log_1/2[log₂2(2)^1/2x]=1

Hemant asked a question

Subject: Maths, asked on on 25/6/17

If f(x) = sqrt ( | 3^x - 3^(1-x) | - 2) and g(x) = tan (pi*x) then domain of fog(x) is

Venkata Reddy asked a question

Subject: Maths, asked on on 25/11/16

draw cos inverse of cosX graph

Sai Sanjeev asked a question

Subject: Maths, asked on on 14/2/17

Range of (x^2 - 4)/(x-2)

Shubhrajyoti Ghosh asked a question

Subject: Maths, asked on on 11/3/17

NO LINKS PLEASE
Q. $If F(x)= \frac{(x - b) (x - c)}{(a - b) (a - c)} + \frac{(x - c) (x - a)}{(b - c) (b - a)} + \frac{(x - a) (x - b)}{(c - a) (c - b)},$
Show that F(0)=1.

Yatharth asked a question

Subject: Maths, asked on on 25/8/16

Q2 3rd part

Hemant asked a question

Subject: Maths, asked on on 9/10/16

I used a graph plotter and ploted the graph of x! and noticed a critical point at x=0.5 (I plotted graph for real no.) . What can be the reason for this depression in interval (0,1) ?

Shubham asked a question

Subject: Maths, asked on on 18/4/19

what are fractional parts of a function?

Akash Dash asked a question

Subject: Maths, asked on on 3/4/17

In which case [x] + [y] = [x] + [y] + 1 ? Please explain along with examples.

Aastha Adhikari asked a question

Subject: Maths, asked on on 30/4/21

how many one- one, onto and total no of relations are possible in the given relation
R:{1,2,3} -> {1,2,3,4}

Aastha Adhikari asked a question

Subject: Maths, asked on on 30/4/21

how many one- one, onto and total no of relations are possible in the given relation
R:{1,2,3} -> {1,2}

Vishnu asked a question

Subject: Maths, asked on on 21/6/22

Introduction to Functions and its types: June 14,2022 class test, i am not able to attempt as the options are not appearingjust for this specific class test.

Faheem Engg. asked a question

Subject: Maths, asked on on 28/3/17

What is the graph for y = 2x² + 3x + 4

Tanishka Gupta asked a question

Subject: Maths, asked on on 5/5/18

Solve question 51

51 . T h e r a n g e o f t h e f u n c t i o n y = \frac{8}{9 - x^{2}} i s (A) (- \infty, \infty) - \{\pm 3\} (B) [\frac{8}{9}, \infty) (C) (0, \frac{8}{9}) (D) (- \infty, 0) \cup [\frac{8}{9}, \infty)

Maanya asked a question

Subject: Maths, asked on on 18/5/21

explain the following
if a is grater than or equal to 2 and less than or equal to 4 that is 2<a<4 than can we say that max value of a is 2 and min value of a is 4

Pranav Sulakshya Trivedi asked a question

Subject: Maths, asked on on 27/5/16

Solve 2[x] = 4{x} + x, where [] represents greatest integer function {} represents fractional part function.

Aastha Adhikari asked a question

Subject: Maths, asked on on 30/4/21

How many onto relations are possible in set A = {1,2,3}?