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A cell of voltage E is connected to 2 batteries of resistance R each. Everything is connected in series. A capacitor of capacitance C is connected parallel to one of the batteries of resistance R.The switch is closed at t=0. ...
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If f(x)+f(x+a)+f(x+2a)...f(x+na)=0,where a>o,, then the period of f(x) is what? a> a b> (n+1)a c> a/(n+1) d> Non-periodic Please show me the method, sir. ps.:by the way, nishanta sir, i found your techniques to ...
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Q. If f(x + f(y)) = f(x) + y for all x and y belonging to R, and f(0) = 1, then what is f(7)? Ans. Method 1: f(x + f(o)) = f(x)+0 or f(x+1)=f(x). so, f(0+1)=f(0)=1=f(1). similarly, f(1+1)=f(1)=1=f(2) . . . . so, f(7)=1. Mehto ...
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If f(x)= x + 1/x , find fo(fof). Answer: (x2 + 1)4 + 3x2 (x2 + 1)2 + x4 /(x2 + 1)(x.x.x.x.x + 3x3 + x) I know the method but could you just show me the manipulation please? ...
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What will the graph of following fuction look like: f(x)= sinx /(√1 + tan2x) + cosx/(√1 + cot2x) ? I simplified the above expression and it came , according to me, dow to f(x)= sin(2x). However, the answer is not similar ...
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How will the graph of f(x)=ln(x) look like, sir? ...
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Could you please tell how to find the period of the following function? f(x) = cos(2tanx)/2 + cos(2cotx)/2 ...
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here is a typical number theory problem. i hav tried this but was unable to solve this sum. i figured out the answer but could not proceed in any logical method. could you please tell me some logical step-by-step method for r ...
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If l,m,n are positive integers greater than 1, lm=21 & mn=39, then which of the following must be true? (n>l>m) or (m>n>l) or (n>m>l)? My method: I have understood how n>l. So, I have given only those opt ...
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Two inclined planes OM and ON having inclinations 30° and 60° respectively with the horizontal ground, intersect each other at O lying on the ground. A particle is projected from point A( lying at height H above the ground) ...
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Let 2 circles S1=0 and S2=0 intersect at point A & B. L1=0 is the line joining A & B where S1=x2 + y2 + 2ax + 2by -5 = 0 and S2:(x+1)2 + (y+2)2 = 9. Let AB subtend an angle C at origin. Angle subtended by S1=0 and S2=0 at p(3 ...
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The sum of the square of the length of all the possible chords intercepted by the line x + y = n, for some n(belongs to N) on the circle x2 + y2 = 4 is what? ...
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ABCD is a quadrilateral with area 18,with side AB parallel to CD and AB=2CD.Angle BAD=90°. If a circle is drawn inside ABCD touching all the sides,then its radius is what? ...
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If (5,12) and (24,7) are the focii of a conic passing through the origin then the eccentricity of the conic is what? ...
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What is the mirror image of y2=4x in the tangent to the parabola at (1,2)? ...
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If the normal to y2=4ax at point t1 cuts the parabola again at point t2,then find the range of t2. My method: Pt. t1=(a(t1)2,2at1) Pt. t2=(a(t2)2,2at2) Equn. of normal at t1:y=-t1x + at1(t12 + 2) Since the above equn. satisfi ...
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Altitude of the triangle of maximum area that can be inscribed in the curve [modulus of{z-2-2i}]=4 or (x-2)2 + (y-2)2 =4 is what? ...
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If the parabolas y2=4a(x-b) and x2=4a(y-c) touch each other at right angles, the locus of their point of contact in terms of "a" is what? ...
