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bisector of an angle divides the triangle into two similar triangles. True or false?. In a.s. Prakashan,it is true. In arihant,it is false. ...
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Indicate which compound in each of the follpwing will react faster? Neopentyl iodide or 1-iodopentane with CH3OH CH3S- or CH3O- with ethyl bromide in ethanol. ...
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Points whose position vectors are a+b,a-b,a+kb are collinear for: (a) Only one integral value of k (b) All integral values of k (C) None of these ...
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Points x and y lie on the side QR and RS of a parallelogram PQRS such that QX =2XR and RY=3YS.Thus the value of u such that the diagonal PR meets line XY at Z and PZ=u PR is ?Characters in bold face denote vectors. ...
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IF a point moves such that twice its distance from axis of x exceeds its distance from axis of y by 2,then its locus is ...
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Q4 Let f(x) = ln(2x-x2) + sin Î x/2, then a) Graph of f is symmetrical about the line x=1 b) graph of f is symetrical about the line x=2 c) maximum value of f is 1 d) minimum value of f does not exist ...
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Q2 Let f(x) =1+2/x and ffffff.....f(x)=fnx then find the maximum number of real roots of fn(x) a) 0 b) 1 c) 2 d) 3 ...
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Q1 If f(x) and g(x) be periodic and non periodic functions respectively, then f(g(x)) is a) always periodic b) never periodic c) periodic when g(x) is a linear function of x d) can't say Answer is c. Please tell why it is not ...
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f(x)=ax3+bx2+cx+dsin x. Findthe condition that f(x) is always injective function. 2. Let f: X→Y be a function defined by f(x)= a sin(x+pi/4)+b cos x+c.If f(x) is bijective,find X. ...
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If the function f:R→A given by f(x)= ex-e-|x|/ex+e|x| is surjectoon then find A. ...
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For which of the following, y can be a function of x? 1. x4=y2 2.y=(log x)2 ...
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There are exactly two linear functions,which map[-1,1] onto [0,3].Then find the point of their intersection. ...
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There are exactly two linear functions,which map[-1,1] onto [0,3].Then find the point of their intersection. ...
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Q1:f(x)=(-1)[x] is even or odd?[.] is GINT. Q2: If f:[-20,20]→R given by f(x)=[ x2/a ]sin x+cos x is an even function.then find a.[.] is GINT. ...
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Determine whether the following function is even or odd f(x+y)+f(x-y)=2f(x)f(y). f(0)≠0.x,y are reals. ...
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Find the range of the following Q1: [sin2x]-[cos2x] .[.] is GINT functiion. Q2:sin-1[x2+0.5]+cos-1[x2-0.5] .[.] is GINT. ...
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Consider a real valued function satisfying 2f(sin x)+f(cos x)=x. Find the domain and range of f(x). ...
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Find range: f(x)= sin2x+sinx-1/sin2x-sinx+2 ...
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A typhoon originates in the Indian Ocean. Satellite imaging shows that the distance travelled by it are 105 and 95 kms in the first 2 hours after it originated. It is dangerous at speeds above 50 km/hr. Find the time for the ...
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Q:3A complex of Zn has the formula [Zn(NH3)x]Cl2 and on reaction with HCl forms NH+4 ions as : [Zn(NH3)x]Cl2+HCl → Zn2+ + NH+4+Cl- 1.02 g complex was treated with HCl and at the end point solution was treated with excess of ...
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Q:4 To determine the molar mass of a solid monoprotic acid ,a student titrated a weighted sample of the acid with standardized aqueous NaOH. Which of the following could explain why the student obtained a molar mass that was ...
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0.85 gram of saturated hydrocarbon is burnt completely in excess ofO2 gas and all CO2(g) evolved were absorbed in 100ml of NaOH solution. The solution was then separated into two equal parts by volume. One part of the solutio ...
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Q:1 A one gram sample containing NaOH as the only basic substance and some inert impurity was left exposed for a very long time so that part of NaOH got converted into Na2CO3 by absorbing CO2 from the atmosphere . The resulti ...
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The value of *Image* ...
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*Image* ...
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the maximum value of the expression *Image* is,whee a and x are reals ...
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A stone is projected from the ground so as to hit a bird on the top of a vertical pole of height h and then attain a maximum height 2h above the ground.if at the instant of projection the bird flies away horizontally with a u ...
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Find the remainder when 599 is divided by 13? ...
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Find the value of x for which rate of change of x4/4 + x3/3 - x is more than x4/4 ...
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Find the domain Q:1 x12-x9+x4-x+1 Q:2 Cx2+4x2x2+3 .Here n= x2+4x and r=2x2+3. C stands for combination Q:3 x-1/x-2{x} {.} denotes fractional part function. ...