Logs Equations And Inequalities, Popular Questions: Jee 2 year MATHS, Math

Arvind asked a question

Subject: Maths, asked on on 31/12/16

If alpha and beta be the roots of equation x^2-x+1=0, then alpha^2009 + beta^2009 is equal to? [Ans: 1]

Guru Charan asked a question

Subject: Maths, asked on on 24/5/16

The least value of 'a' belongs to R for which 4ax² + 1/x >(or)= 1, for all x>0 is???

Guru Charan asked a question

Subject: Maths, asked on on 24/5/16

Let -pi/6<theta<-pi/12. Suppose a1 and b1 are the roots of the equation x² - 2xsec(theta) + 1=0 and a2 and b2 are the roots of the equation x² + 2xtan(theta) - 1=0. If a1>b1 and a2>b2, then a1 + b2 is???

Samiksha Jain asked a question

Subject: Maths, asked on on 4/9/16

if the roots of a₁x²+b₁x+c₁=0 are alpha ,beta and that of a₂x²+b₂x+c₂=0 are gamma and delta such that alpha*gamma=beta*delta =1,then
a.a₁/a₂=b₁/b₂=c₁/c₂
b.a₁/c₂=b₁/b₂=c₁/a₂
c.a₁a₂=b₁b₂=c₁c₂
d.none of these

Nevadhya asked a question

Subject: Maths, asked on on 17/8/16

How many positive real numbers x are there such that x^x√x = (x√x)^x ?
Options :
A) 1 B) 2 C) 4 D) infinite
I don't know to which chapter it belongs, it's in a book for KVPY

Mauhid Usmani asked a question

Subject: Maths, asked on on 15/4/18

question number 10

10 . I f α, β a r e r o o t s o f 375 x^{2} - 25 x - 2 = 0 a n d s_{n} = α^{n} + β^{n}, t h e n f i n d t h e v a l u e o f \lim_{n \to \infty} \sum_{r = 1}^{n} s_{r} .

Mauhid Usmani asked a question

Subject: Maths, asked on on 15/4/18

Solve this.:

Illustration 2.79 In equation x⁴-2x³+4x²+6x-21=0 if two of its roots are equal in magnitude but opposite in sign. find the roots.

Bhavya Jain asked a question

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

the value of x satisfying log_a(1+ log_b [ 1 + log_c (1+ log_px) ] ) = 0 is :
1) 4
2) 3
3) 2
4) 1

Guru Charan asked a question

Subject: Maths, asked on on 6/5/16

Solve this inequality: 2^x-1 - 1/ 2^x+1 + 1 < 2.

Atharva Gulhane asked a question

Subject: Maths, asked on on 18/7/16

If the equation has equal roots then find value of m if x² -15 -m*(2x-8) = 0?

Suroj Dey asked a question

Subject: Maths, asked on on 11/10/16

Let log_ab = 4 , log_cd=2, a,b,c,d are natural numbers if b-d = 7 then find c-d? ( plz do it fast) ( KVPY 2009 question)

Maanya asked a question

Subject: Maths, asked on on 7/5/21

if x₁ and x₂ satisfy the equation x^log₁₀x = 100x then the value of x₁x₂ equals

Mauhid Usmani asked a question

Subject: Maths, asked on on 15/4/18

question number 5

5. Let f(x), g(x), and h(x) be the quadratic polynomials having positive leading coefficients and real and distinct roots. If each pair of them has a common root, then find the roots of
f(x) + g(x) + h(x) = 0.

Akshat Manral asked a question

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

The solution set of the inequation
mod(2x-3)<mod(x+2) is ?

Hemant asked a question

Subject: Maths, asked on on 21/4/17

The number of roots of following equation is:. sin(πx) = | log |x| |

Rishabh Shakya asked a question

Subject: Maths, asked on on 22/5/16

solve x^y=y^x and x²=y³.

Hridya P Das asked a question

Subject: Maths, asked on on 27/5/17

PROVE THAT:
log₂²⁴/ log₉₆²-log₂¹⁹²/log₁₂²

Piyush Das asked a question

Subject: Maths, asked on on 8/6/17

question 12 please, thank you.

Maanya asked a question

Subject: Maths, asked on on 6/5/21

if log_ab + log_bc + log_ca vanishes where a,b and c are positive reals different than unity than the value of (log_ab)^3 + (log_bc)^3 + (log_ca)^3 is

Maanya asked a question

Subject: Maths, asked on on 7/5/21

if log_ba = 3, log_bc= -4 and if the value x is satisfying the equation a^3x = c^x-1 is expressed in the form p/q where p and q are relatively prime then p+q is

Siddharth Rathore asked a question

Subject: Maths, asked on on 15/5/16

Solve the inequality:- (1+x²)/(x² - 5x + 6) < 0

Raghav asked a question

Subject: Maths, asked on on 28/4/18

Iflog_0.3(x-1)<log_0.09(x-1) then x lies in the interval

I can understand up to ---2log_0.3(x-1)<log_0.3(x-1)
(x-1)²>(x-1) --- next step sign changed from < to >. Can you please explain sir

Samiksha Jain asked a question

Subject: Maths, asked on on 4/9/16

if x²-x+a-3<0 for atleast one negative value of x then complete set of values for a are
a.(-infinity,4) b.(-infinity,2) c.(-infinity,3) d.(-infinity,1)

Jennifer Philip asked a question

Subject: Maths, asked on on 31/5/16

in logarithms can there be log 4.5 or in any other decimals ?

Pavitra Golchha asked a question

Subject: Maths, asked on on 25/6/16

What is the anser of thos question? Please explain in detail.

Piyush Das asked a question

Subject: Maths, asked on on 2/6/17

please, question 4, 5, 7 and 8 urgently, i am in a bit of hurry.thanks

Piyush Das asked a question

Subject: Maths, asked on on 8/6/17

please, both the questions 10 and eleven, not one, and it's really urgent

Monobikash Deb asked a question

Subject: Maths, asked on on 28/7/16

Given that ax² + bx + c has always the same sign as c if

a) b²>4ac b) c>0 c) c<0 d) none of these

Pavitra Golchha asked a question

Subject: Maths, asked on on 25/6/16

Solve this.

Krishna asked a question

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

Solve this.

Atharva Gulhane asked a question

Subject: Maths, asked on on 2/7/16

pls solve the questions on paper and send all the solutions as soon as possilble

Harsh Sharma asked a question

Subject: Maths, asked on on 10/6/16

find the all the values of 'a' for which root of the equation (a-3)x^2 - 2ax + 5a = 0 are positive ? plzz explain each and every step in detail don't skip any step fast answer

Soumya Kant Das asked a question

Subject: Maths, asked on on 11/9/16

Ques. 12

Atharva Gulhane asked a question

Subject: Maths, asked on on 18/7/16

Prove that the rots of the following equations are real
[1] x² - 2ax + a²- b² - c² = 0
[2] (a - b + c)*x² + 4(a- b)*x +(a- b -c) = 0
?

Pavitra Golchha asked a question

Subject: Maths, asked on on 25/6/16

Please answer this question

Maanya asked a question

Subject: Maths, asked on on 7/5/21

if log_1/8(log_1/4(log_1/2x)) = 1/3 then x is

Maanya asked a question

Subject: Maths, asked on on 7/5/21

sum of the squares of the roots of the equation log₂(9-2^x) = 3-x is

Haytham Reeza asked a question

Subject: Maths, asked on on 26/4/20

hi sir i am sorry for being late. can u unblock my chat

Harsh Sharma asked a question

Subject: Maths, asked on on 11/6/16

ans fast ????

Palak Srivastava asked a question

Subject: Maths, asked on on 28/5/17

Hello sir, Please help me out with my doubt

If a₁, a₂ and b₁, b₂ are roots of the equation
2x²+3x+k₁=0and x²+2x+k₂=0 respectively, then the system of equation a₁y+a₂z=0 and b₁y+b₂z=0 has a non zero solution. What will be the value of k₁:k₂?

Aryan asked a question

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

Please help, I'm getting options b and c both as the answer.

5 . If \log_{10} 2, \log_{10} (2^{x} - 1) and \log_{10} (2^{x} + 3) are three consecutive terms of an AP, then which one of the following is correct ? (a) x = 0 (b) x = 1 (c) x = \log_{2} 5 (d) x = \log_{5} 2

Atharva Gulhane asked a question

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

Find value of ( a / 3 ) - 7 = ( 3a + 1 ) / 2.

Maanya asked a question

Subject: Maths, asked on on 3/5/21

x^logx^+5/3 = 10^5+logx

Adarsh Saxena asked a question

Subject: Maths, asked on on 23/3/17

What is the solution set of the following inequality:
|x-1| ≥ |x-3|

Tanishka Gupta asked a question

Subject: Maths, asked on on 28/5/18

Solve question 14

Raj Aryan asked a question

Subject: Maths, asked on on 24/11/17

Sir please clear my doubt in quadratic equations. i face problem in dealing with such questions. one is here:-

Find the values of m for which the equation sin^2x-(m-3)sinx+m=0 has real roots.

I can assume sinx to be t and reduce the equation to simple for. now t is binded in the interval -1,1. Now how to do sir? please clear!

Krishna asked a question

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

Solve this.

Maanya asked a question

Subject: Maths, asked on on 7/5/21

log₃(3^x-6) = x-1
find value of x

Tanishka Gupta asked a question

Subject: Maths, asked on on 9/5/17

9|3x-1|=3to power8x-2

Abhinav Koul asked a question

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

Solve this plz.