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Let f(x) be a funcn. differentiable on [ 0 , a ] such that f(0) = 1 , f(a) = 31/6 . If f'(x) is greater than equal to [f(x)]4 + [f(x)]-2 , then the max. value of a is: (a) pi/6 (b) pi/12 (c) pi/24 (d) pi/36 ...
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ISAT 2011 official answer key has been released http://www.iist.ac.in/isat2011/template/default/download/ISAT2011_ANSWER_KEY.pdf ...
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plzz just check this quesn How many 6 digit nos. of the type a1a2a3a4a5a6 are possible having the property a1>a2>a3<a4>a5>a6 i initially thot abt this process: 10C6 . 6C3 i.e. i am first selecting 6 nos. from 1 ...
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The sides AB , BC and CA of triangle ABC hav 3 , 4 and 5 interior pts. respectively on them. The no. of triangles that can be constructed using these interior pts. as vertices is?? ...
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A wire is bent in form of as shown in the fig. It is suspended from the pt. where curved portion starts ( curved portion is semicircular) .Find the value of a in terms of r such that the straight portion remains horizontal. * ...
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plzz explain how to do this comprehension( JEE 2010) quesn no. 42 , 43 and 44... http://jee.iitd.ac.in/QP_M1_ANS.pdf ...
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A plano-convex lens has a thickness of 4 cm. When placed on a horiz. table , with the curved surface in contact with it , the apparent depth of the bottom most pt. of the lens is found to be 3 cm. If the lens is inverted such ...
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For a radioactive decay reacn. : X -> Y + q a ( where q is the no. of stoichiometric coefficient ) Following graph was observed : http://img849.imageshack.us/i/62431305.png/ If the ratio of the volume of the emitted helium ...
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10 gms of 57Co kept in an open container beta-decays with a half life of 270 days. The wt. of the material inside the container after 540 days will be very nearly (A) 10 g (B) 5 g (C) 2.5 g (D) 1.25 g ...
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Following compound A spontaneously changes into http://img846.imageshack.us/i/51646289.png/ ONE OR MORE THAN ONE OPTIONS MAY BE CORRECT. ...
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http://img823.imageshack.us/i/32895350.png/ The correct order is: (A) x>y (B) x<y (C) x=y (D) can't predict i think its x<y coz i have read that electron withdrawing substituents in the diene such as CHO , CN , NO2 e ...
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Let A = [aij] , where aij = uij , 1 ≤ j ≤ n , 1≤ i ≤ n and ui , vj belongs to R satisfies A5 = 16 A , find tr(A). ...
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A uniform magnetic field of intensity 1T is applied in a circular region of radius 0.1 m , directed into the plane of paper . A charged particle of mass 5 x 10 -5 kg and charge q = 5 x 10 -4 C enters the field with vel. 1/roo ...
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Which of the following resonating structures of 1-methoxy-1,3-butadiene is least stable?? http://img861.imageshack.us/i/14920168.png/ ...
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In the arrangement shown wavelength of light used is \lambda . The distance b/w slits S1 and S2 is d ( <<D) . The distance b/w S3 and S4 is u = \lambda D / 3d . If the ratio of max to min intensity observed on screen is ...
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Let f(x) , x greater than equal to 0 , be a non negative continuous funcn , and let F(x) = 0∫x f(t) dt , x greater than equal to 0. If for some c >0 , f(x) is less than equal to c F(x) for all x greater than equal to 0, ...
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The number of neutrons emitted when 235]U92 undergoes controlled nuclear fission to 142Xe54 and 90Sr38 is ?? why is the ans given by JEE 4??how can it be 4?? ...
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The heat of combustion of acetylene is 312 kcal . If heat of formation of CO2 and H2O are 94.38 and 68.38 kcal respectively , calculate C triple bond C energy . Given that heat of atomization of C and H are 150 and 51.5 kcal ...
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A circular disc of diameter d lies horizontally inside a metallic hemispherical bowl of radius 'a'. The disc is just visible to an eye looking over the edge. The bowl is now filled with a liquid of refractive index u. Now the ...
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The fig. shows a silvered lens . ref. index of a = 1.6 and ref. index of b= 1.2 , R1 = 80 cm , R2 = 40 cm and R3 = 20 cm. An object is placed at a distance of 12 cm frm this lens. Find the image posn. http://img835.imageshack ...
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Find the angle at the vertex of an isosceles triangle of max area for the given length 'l' of the median to 1 of its equal sides. Also find the max area. ...
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A scarlet compound A is treated with conc. HNO3 to give a chocolate brown ppt. B . the ppt. is filtered and the filtrate is neutralized with NaOH . Addition of KI to the resulting soln. gives a yellow ppt. C . The brown ppt. ...
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1. A set of 25 tuning forks is arranged in order of decreasing frequency. Each fork gives 3 beats with succeeding one. The 1st fork is octave of the last . Calculate the frequency of the 1st and the last forks. what does the ...
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A mixture of CO and CO2 when treated with I2O5 , gives I2 vapour according to following eqn. : 5CO + I2O5 - > 5CO2 + I2 I2 vapour was separated nd treated with HClO4 and resultant HIO4 reqd. 0.001 moles of glycerol ( CH2OH ...
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If the integers m and n r chosen at random with replacement frm 1 to 100 , then what is the probability that a no. of the form 7^m + 7^n is divisible by 5? ...
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what is the probability that sin-1 ( sin x ) + cos-1 ( cos y ) is an integer x , y belongs to { 1 , 2 , 3 , 4 }? ...
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A simple pendulum made up of light rod of length L and bob of mass m has a spring of force constant k connected to it at a distance x below the pt. of suspension. Find the frequency of vibration of the system. ...
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what will be the product of the given reaction? phenol + P2S5 -> ? thought quite a lot about it..........but cant seem to figure it out!!! can anyone tell the proper mechanism as well , if possible?? ??? ...
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Two satellites of the Earth move in a common plane along circular orbits , the radii being r and r-Δr ( Δr << r ). What is the time interval b/w their periodic approaches to each other over the min. distance . Take M ...
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A neutral gas sample contains 84% ( by volume ) of CH4 , 10 % of C2H6 , 3 % of C3H8 and 3% of N2 . If a series of catalytic reacns cud be used for converting all the C atoms of the gas into butadiene , C4H6 , with 100% effici ...
