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If sinx=cosy, 6 siny=tanz,2sinz= 3 cosx ; u,v,w denote respectively sin2x,sin2y,sin2z,then value of triplet (u,v,w) is ? ...
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Find range of y given that y=2tan-1x+sin-1 2x/1+x2 ...
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A fair coin is tossed n times. Let P n denotes the probability that no two (or more) consecutive heads occur in n tosses. ...
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Ques 1) A body centred cubic lattice is made up of hollow spheres of B. Spheres of Solid A are present in hollow spheres of B. Radius of A is half of radius of B. What is the ratio of the total volume of spheres of B unoccupi ...
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The dotted part of the lens is cut & kept along the x-axis as shown. *Image* If parallel paraxial rays fall on this system, the coordinate of the image formed after refraction from both the lenses is (30,-1). If a=2.5 cm, Fin ...
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if a< b< c< d, then prove that for any real α,the quadratic eqn (x-a)(x-c)+α(x-b)(x-d)=0 has real roots. ...
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If *Image* and f is differentiable function satisfies : *Image* *Image* then find f(x) not a doubt....jus found it gud ...
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*Image* i m not able to prove > but i m getting x>=sinx!!!! is the question correct?????? ...
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In any arbitrary string, can we take the tension along the direction of the string? Justify... Also, Can you give a similar analysis for a rod? ...
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A weightless rod of length l with a small load of mass m at the end is hinged ar point A and occupies a strictly vertical position, touching a body of mass M.A slight jerk sets the system in motion. Frixtion is neglected and ...
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*Image* ...
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f is a continuous function that maps the closed unit interval I = [0,1] into itself. Prove that if f(f(x)) = x for all x ε I, then f is monotonic ...
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may be easy *Image* ...
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The equation for the reaction in the figure below is AB_{5}_{(g)} + heat\leftrightarrow AB_{3}_{(g)} +B_{2}_{(g)} double arrow means the reaction is in equilibrium *Image* At\; time\; 3\; min\; , what\; change\; was\; imposed ...
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A disc of mass m ,radius R is shown rolling on horz surface(having sufficient friction). Variation of magnetic fields with direction exist along its path as shown in figure *Image* CHARGE ON DISC=Q 1)Find velocity of disc aft ...
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We know that friction between two surfaces is due to the uneven nature of the surface of the bodies. But in case of 2 plane mirrors will there be any friction ????? they have perfectly smooth surfaces. The how can we keep one ...
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After several operations of differentiation and multiplication by (x+1) performed in an arbitrary order, the poylnomial (x8+x7) is changed to (ax+b). Show that |(a-b)| is divisible by 49..... ...
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1 a parallel beam of light falls on a quarter cylinder of radius R as shown in fig. (A) μ= 3 . max. value of OP as shown in fig. (B) ,so that rays do not suffer total internal reflection at the curved surface is *Image* 2.ri ...
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*Image* why have they used h---->1 for LHL and h----->0 for RHL??can u account for this! ...
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N people are standing in a line, facing forward down the line. How many of them, on average, are able to say, “I am taller than everyone in front of me.� ...
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*Image* plzzz solve ...
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** Only Q6 is more than one correct ** Q1 BeO +NaOH → ? Q2 Which is used for fixing atmospheric nitrogen ? a)nitrolim b)Li3N c)Mg3N2 d)all I am sure abt a)..but not abt others.. Q3 BaC2 +N2 +heat → ?? Q4 CaC2 +N2 +heat ↠...
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how to study qualitative analysis ? i find it as a mere collection of facts put together........ i dont know how to learn this part of chemistry . plz help! ...
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Pick out the statement(s) which is/are not true about the diagonal relationship of Li and Mg. (A) Like Li, Mg forms a nitride by direct combination with nitrogen. (B) Like lithium, magnesium reacts rapidly with water. (C) Lik ...
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If direction cosines of a variable line in 2 adjacent points be l,m,n and l+δl,m+δm,n+δn .Show that small angle δθ between two positions is given by δθ2=δl2+δm2+δn2 ...
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Q1 A square lamina ABCD (side length=a) mass m is kept on an elastic surface.An impulse J is provided very close to vertex A.Find minimum value of impulse J that can flip the lamina. *Image* will it be done this way ?? Assumi ...
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The situation is shown at t=0 At some nstant ,simultaneously two events occur a)Cutting os string joining block and ceiling b)Punching of hole at bottom most point of vessel How will velocity of efflux vary with time ??? 1) * ...
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CoCl2 + KNO2 + CH3COOH ---> [X] + H2O + KCl + CH3COOK + NO (Unbalanced equation) Which of the following statement is correct ? (A) X is a yellow crystalline solid insoluble in water. (B) X is a green coloured compounds and ...
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*Image* ...
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An ellipse with axes parallel to OX & OY cuts the parabola y2 = 4x at (1,-2) & touches it at (4,4) , the coordinates of the other points of intersection is (A) (9,-6) (B) (9,6) (C) (4,-4) (D) (1,-2) ...