Questions asked by Jennie_

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• What is the root of the equation?
  
• What is/are the maximum number of possible real roots of the equation? a) 3 b) 4 c) 5 d) 0
  
• What are the solutions of the given equation?
  
• What is the correct option from given options? pls explain your answer
  
• What is the number of real roots of the giving equation?
  
• What is the maximum value of the given function?
  
• What is the approach of this question?
  
• What is the correct option? can u pls explain it briefly.
  
• From the given information in the question, what is the value of #(a+b+c)^2# ?
  
• If α, β, γ are the roots of the given equation then what is the value of ∑α(β+ γ)?
  
• What value of x should we take to obtain the new transformed equation?
  
• Where does the one root of the equation #x^3-3x^2+4x-1=0# lie between? a) 0 and 1 b) 1 and 2 c) 2 and 3 d) 4 and 5
  
• What is the value of k if, #y=1/a^(1-log_a(x))# , #z=1/a^(1-log_a(y))# then #x=a^k# ?
  
• What is the value of #xy+yz+zx# if #x=1+log_a(bc)# , #y=1+log_b(ca)# , #z=1+log_c(ab) # ?
  
• What is the correct option from the given question? ps - I got 98 as an answer but it's not correct(? idk maybe the given answer at the back is wrong, u can also see and recheck my solution, I've attached the solution below the question)
  
• If the product of the two roots of #x^4+px^3+qx^2+rx+s=0# is equal to the product of the other root then, a)#p^2s=r^2# b)#ps=r^3# What is the correct option?
  
• If a,b,c,d are real then the roots of the given equation are?
  
• In which of the following equations they have roots α and β?
  
• If #a, b and c# are the sides of the triangle then #(a^2 + b^2 +c^2)/(ab+bc+ca)# lies between?
  
• If #a+b+c=0#, #ab+bc+ca=2# and #abc=-1# then what is the value of #a^2/(b+c) + b^2/(c+a) + c^2/(a+b)# ?
  
• If #x = i㏒( sqrt(13)+ sqrt(12))# then, cos(x) is ?
  
• If in the given equation, #ax^3+bx^2+cx+d=0# has roots #alpha,beta,gamma#.Then what is the value of #(α^2)β - (α^2)γ + (β^2)γ - (β^2)α + (γ^2)α - (γ^2)beta#?
  
• If #(3+5+7+......+n terms)/(5+8+11+.......+10 terms)# = 7, then the value of n is?
  
• Can someone explain that why the naming of this compound is Propionic Acid?
  
• Does the given IUPAC name of the given compound correct?
  
• What is the IUPAC name of the given compound?
  
• What is the IUPAC name of the given compound?
  
• What is the IUPAC name of the given compound?
  
• What is the IUPAC name of the given compound?
  
• What is the sum of n terms of the series #1^4/(1*3) +2^4/(3*5) +3^4/(5*7) +cdots+n^4/[(2n-1)(2n+1)# ?
  
• What is the sum of the products of every pair of the first #n# natural numbers?
  
• Prove that the numbers of the sequence 121, 12321, 1234321, .....are each a perfect square of an odd integer?
  
• What is the name of the given compound?
  
• What is the IUPAC name of the given compound?
  
• The co-ordinates of three consecutive vertices of a parallelogram are (1,3), (-1,2) and (2,5). Then what is the co-ordinate of the fourth vertex?
  
• What is the other functional isomer of #CH_2-CH_2-C-=N#?
  
• A person on the top of a hill throws one stone vertically upwards with a velocity u. He throws another stone from the same place in the downward direction with a velocity of u. What is the ratio of velocities of two stones on the bottom of the hill?
  
• Can Alkadienes compounds contain a ring in it?
  
• What are the functional isomers of prop-1-yne?
  
• What kind of isomerism is shown by the following compounds?
  
• Which type of Structural Isomerism is shown by the following compounds?
  
• How many #alpha#-Hydrogen does the give compounds have?
  
• Does the following compound show Tautomerism? Give the reason if yes or no.
  
• If n A.M’s are inserted between two quantities a and b, then their sum is equal to?
  
• The numbers 1, 4, 16 can be three terms (not necessarily consecutive) of ? a) no A.P b) only 1 or 2 G.Ps c) infinite number of A.Ps d) infinite number of G.Ps
  
• If the roots of the equation #a(b − c)x^2 + b(c − a)x + c(a − b) = 0# are equal, then a, b, c are in ? (A) A.P. (B).G.P. (C) H.P. (D) none of these
  
• If a, b, c #epsilon# R+, then #(bc)/(b+c) + (ac)/(a+c) + (ab)/(a+b)# is always ? a.)#<= 1/2(a+b+c)# b.)#>=1/3[sqrt(abc)]# c.)#<= 1/3(a+b+c)# d.)#>=1/2[sqrt(abc)]#
  
• If the relation between #a,b,c# is given as shown below then #a,b,c# are in?
  
• From the information given below, what is the value of #p^3 + q^4 + r^5# ?
  
• What is the E-Z designation of the following compound?
  
• What is the most stable form of the following compounds? (i.e., draw the most stable form in chair form of both the compounds)
  
• In the given options, which of them have the Inductive effect of a -#CH_3# which operates in the given compound?
  
• N the given options, which of them have the Inductive effect of a -#NO_2#which operates in the given compound?
  
• In which of the following option operates Inductive Effect of -Cl ?
  
• Why does the +I effect increases here?
  
• What is the domain of #f(x)=sqrt{1-sqrt[1-sqrt(1-x^2)]}# ?
  
• Which has the more +#I# effect, -#OCH_3# or - #CH_3#?
  
• Solve |#sinx + cosx#| = |#sinx#| + |#cosx#|, x#in# [0, 2#pi#] ?
  
• Find the set of real value(s) of #a# for which the equation |#2x+3#| + |#2x-3#| = #ax + 3# has more than two solutions. ?
  
• What is the domain of #sinx = -1/2 #?
  
• What is the domain of #f(x) = sqrt[cos(sinx)]#?
  
• Does the following resonance contributing structure of the given is correct?
  
• What are the values of #x#? if, #|x-(|x-4|)| = 2x+4#
  
• What is are the solutions of #x#? #|x^2 + 3x| + x^2 - 2,>= 0#
  
• Are the products formed in the following reaction correct?
  
• What is the product of the following reaction? 1)#CH_3 OH + OH^(-) rarr# 2)#NH_4 ^(+) + OH^(-) rarr#
  
• Why is the acidity order different in (a) and (b)?
  
• What is the range of the function, #f(x) = 1- 1/(1+x^2)#?
  
• What is the simplification of the given function? #sec^(-1)[(2sqrt2)/(1+sqrt3) ]#
  
• What is the general value of #theta# satisfying both #sin# #theta# = #-1/2# and #tan# #theta# = #1/(sqrt3)# ?
  
• What are the number of real solutions of the equations of #cos^(7)x + sin^(4)x=1# in the interval #[-pi, pi]#?
  
• Can u prove this equation using only LHS #[cos(alpha)+-isin(alpha)]/[cos(beta)+-isin(beta)]#= #cos(alpha-beta)+-sin(alpha-beta)#?
  
• Which of the following compounds will form hydrogen bonds with a solvent such as ethanol? Check all that apply 1) #CH_3 CH_2 O CH_2 CH_2 OH# 2) #CH_3 CH_2 CH_2 CH_2 BR# 3) #CH_3 CH_2 CH_2 NH CH_3# 4) #CH_3 CH_2 CH_2 COOH# 5) #CH_3 CH_2 CH_2 CH_2 F#
  
• If #sum_(i=1) ^(n)sin(theta_i)=n # then #cos(theta_1)+cos(theta_2)+...+cos(theta_n) =#?
  
• If #sec(theta) + tan(theta) = 1.5# then in which quadratant does #theta# lies?
  
• If #sqrt(sinx) + cosx = 0#, the what is the value of #sinx#?
  
• If #x= sin(1), y=sin(2) & z= sin(3)# then, which of the following option is true?
  
• If #sin(A), cos(A), tan(A)# are in G.P., then which of the following option is correct #cot^(6)A - cot^(2)A#?
  
• If #cos(x) + cos^(2)x = 1#, then which of the following option is correct for, #sin^(12)x + 3sin^(10)x + 3sin^(8)x + sin^(6)x + 1#?
  
• If #2sin(x) + 5cos(y) + 7sin(z) = 14#, then what is the value of #7tan(x/2) + 4cos(y) - 6cos(z)# among the following option?
  
• Can someone please explain that how we got#1 <=sin^(-1)cos^(-1)sin^(-1)tan^(-1)x<=(pi)/2# from #[sin^(-1)cos^(-1)sin^(-1)tan^(-1)x]=1# ?, where [.] denotes the greatest integer function.
  
• What is the interval of the following function for which,#2tan^(-1)x+sin^(-1)[(2x)/(1+x^2)]# is independent of #x#?
  
• What is the correct option from the following for, #3tanx+27cotx>=#?
  
• If #sin(theta)+cos(theta)=sqrt(3)cos(theta)#, then what is the value of #2cos(theta)-sin(theta)# from the following option?
  
• If #8cosx + 15sinx = 15# and #cosx!=0# then which of the following option is correct for #8sinx-15cosx#?
  
• If #3secalpha-5tanalpha=k# and #6secalpha+ktanalpha=5# then what is the value of #k^2# among the following option?
  
• If #sinx+sin^(2)x+sin^3x=1#, then what is the correct option for #cos^6x-4cos^4x+8cos^2x#?
  
• What is the value of #f(x)# among the following option?
  
• What is the value of #lim_(x->0)[(1+x)^(1/x)-e+1/2ex]/x^2# ?
  
• If #sin theta +sin^2theta=1# and #acos^12theta+bcos^10theta+c cos^8theta+dcos^6theta-1=0#, then #(b+c)/(a+d)=#?
  
• What is the value of #lim_(n->oo)sum_(r=1)^n({r^2x})/n^3# , if #{.}# denotes the fractional part of the function?
  
• What is the expansion of #e^(-x)#?
  
• Let #P_n=a^(P_(n-1))-1, AAn=2, 3, ...,# and let #P_1=a^x-1#, where a#inR^+#. Then what is the value of #lim_(x->0)P_n/x#?
  
• A non-uniform rod AB has a mass M and length 2L the mass per unit length of the rod is #mx# at a point of the rod distant #x# from A. Then what is the moment of inertia of this rod about an axis perpendicular to the rod?
  
• What is the value of #lim_(x->0)x/log_a(1+x)# ?
  
• Evaluate #lim_(x->0)(sinx/x)^(sinx/(x-sinx))# ?
  
• If #A+B=315^0#, then what is the value of #(1-tanA)(1-tanB)#?
  
• What is the integral nalue of #n# for which #lim_(x->0)[cos^2x-cosx-e^xcosx+e^x-x^3/3]/x^n# is a finite non-zero number?
  
• What is the value of #lim_(x->0)(2^x-1-x)/x^2# without using L'Hopital's rule and expansion of series?
  
• What is the correct option of the following question?
  
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