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A: The equation (log x)2-log x3 +2=0 has only one solution R: log x2=2log x if x>0 ...
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The number log203 lies in a) (1/4 ,1/3) b) (1/3 ,1/2) c) (1/2 ,3/4) d) (3/4 ,4/5) ...
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Solution of inequality \left| \frac{x+2}{x-2}\right|>0 is ...
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post here. ...
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If α,β are different complex nos. with \left|\beta \right|=1 then find \left|\frac{\beta -\alpha }{1-\bar{\alpha }\beta}\right| ...
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if z1=2-i,z1=1+i find magnitude of z1+z2+1/z1-z2+1 ...
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If a,b,c are roots of x2-3x+p=0 and c,d are rooots of x2-12x+q=0 where a,b,c,d form a GP. Prove that q+p/q-p=17/15 ...
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a(1/b +1/c),b(1/c +1/a),c(1/a + 1/b) are in AP, then prove a,b,c are in AP. ...
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I am not getting satisfactory replies from anywhere......... I havent seen the solutions,but even if i get the last rank 7000 or 8000 whatever ,I am going there.... After all stamp of IIT says it all....... or am I wrong? Sho ...
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Q1 air streams horz. past an airplane of wing area 120 m^2 and weighs 300kg.The speed over top surface is 60m/s and that under bottom is 45m/s.What is net force Q2 A ball whose density is p (p<po where po is density of wat ...
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a hollow cone of height h and density p floats in water of density p' with its vertex inside water.The height of cone that lies in water ...
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1)a cylindrical vessel of radius 0.05 m with liquid in its inside is rotating along axis with speed of revolution 2rev /s. the liquid rises at the sides ,the find diff. in height of liquid at center and along sides 2)a syring ...
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What is the phase difference, at a given instant of time, between two particles 25 m apart, when the wave y (x, t) = 0.03 sin (2t - 0.01x) travels in a medium ? ...
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Two organ pipes, each closed at one end, give 5 beats per second when emitting their fundamental notes. If their lengths are in the ratio of 50 : 51, their fundamental frequencies (in Hz) are? ...
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ey-x dy/dx =ex-ey ...
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Solve x(1-x^2{})dy+(2x^2{}y-y-5x^3{})dx=0 ...
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In YDSE both slits produce equal intensities on the screen.A 100% transparent film is placed in front of one of the slits.Now the intensity on the center of screen becomes 75% of previous intensity.The wavelength of light is ...
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In YDSE if slab whose refractive index can be varied is placed in front of one of the slits.Then plot the variation of resultant intensity at mid point on screen with refractive index(where refractive index >1) ...
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The ratio of intensity at the center of a bright fringe to the intensity at the point one quarter of fringe width from center is? ...
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Central fringe of interference pattern produced by light of wavelength 6000A is found to shift to position of 4th dark fringe after glass sheet of refractive index=1.5 is introduced.Find thickness of glass sheet. ...
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In young's double slit exp.,60 fringes are observed in central view zone with wavelength of light 4000 A.The no. of fringes that will be observed in same view zone with 6000A light is? ...
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Write the stricture of monomer used for getting polymer PMMA ...
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*Image* ...
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What is dispersive power? ...
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digit in units place of the number 1!+2!+3!+...........+99! is? ...
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Find last digit of (2004)5 is? ...
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∞ Prove that ∫ dx/(x+ x2+1 )n =n/(n2-1) 0 where n>1 ...
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x Prove ∫ [t] dt =[x]([x]-1)/2 +[x](x-[x]) where x belongs to set of real 0 positve numbers and [.] denotes greatest integer function. ...
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Prove the following:(for a2<1) π a)∫ln(1-2acosθ+a2)dθ= 0 is a<1 & 2πlna if a>1 0 π b)∫ln(1-2acosθ+a2)cosnθdθ= -(π.an)/n 0 ...
