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i know it is an iit site,but i m in a very tense situation.My AIEEE exam went good and expecting under 1000 rank.But after giving examination i lost my admit card. I have all my information regarding admit card.But at the tim ...
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1.To construct a barometer a tube of length 1m is completely filled with mercury and is inverted in a mercury cup.The barometer reading on a particular day is 76 cm.suppose a i m tube is filled with mercury up to 76 cm and th ...
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1.A question paper is split into two groups -A and B.The groups contain 4 questions, each question have an alternative .The group B contain 4 questions.A student has to answer at least one question from each group and he can ...
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1.There are n≥4 points situated on the plane such that no two of the lines joining them are parallel and no three of lines joining them are concurrent except at the given points.Find the number of points of intersection, ot ...
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1.In how many ways can 6 boys and 4 girls sit in a row so that no boy is between two girls? 2.How many five digits number divisible by 4 can be formed by digits 1,2,3,4 and 5 if the digits can be repeated in the same number? ...
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how HCl can be dried by passing through conc. sulfuric acid? ...
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1.If A and B are square matrices of the same order and A is non singular then for a positive integer n, (A^-^1 BA)^n is equal to (A) A^-^1 B^nA (B) n(A^-^1 BA) (C) A^-^n B^nA^n (D) None of these 2.Prove that adj(A^-^1)= adj(a ...
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1.if \vec{a} \times \vec{b} = \vec{c} \times \vec{d} and \vec{a} \times \vec{c} = \vec{b} \times \vec{d} then prove that (\vec{a} -\vec{d})\left| \right| (\vec{b}-\vec{c}) . 2.A line makes \alpha ,\beta ,\gamma and \delta wit ...
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1.If z is a unimodular complex number, prove that arg(z2 + conjugate of z) = 1/2 arg(z) 2.If \left|z \right| = 1 and z is a non real then prove that z can be expressed in the form of c + \iota /c - \iota where c is real .Also ...
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why boiling point of cycloalkanes are more than correspondig unbranched alkanes with same molecular masses???? ...
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when the targetiit all india test series is going to start ...
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1.A particle of mass m1 collides elastically with a stationary particles of mass m2 (m1>m2). Find the maximum angle through which the striking particle may deviate as a result of collision. 2. A shell flying with velocity ...
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1. A uniform chain of mass M and length L is held vertically in such a way that its lower end just touch the horizontal floor.The chain is released from rest in position. Any portion that strikes the floor comes to rest .Assu ...
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1.Tangents at the three points of a parabola y^2 = 4ax form a equilateral triangle . Prove that the vertices of the triangle lie on the curve (3x + a)(3a + x) = y^2 2.Prove that the normal to the parabola y^2 = 4ax at (am^2, ...
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1.A body of mass m is slowly hauled up the hill by a force f which at each point was directed along a tangent to the trajectory .Find the work performed by this force , if the height of the hill is h and length of its base is ...
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1.select the correct alternatives (a)Work done by the friction is always zero. (b)Work down by the kinetic friction can be positive (c)Kinetic energy of the system can not be increased without applying any external force (d)W ...
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1. In a tri ABC the median AD and the altitude AM divides the angle A in three equal parts.Show that \Delta (cos A/3.sin2A/3) = 3a3 /128R . 2. In a \Delta abc the lengths of the bisectors of the angles A, B and c are x,y and ...
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why the dipole moment of individual bond cannot be calculated in a polyatomic molecule. ...
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If 1- x4 + 1- y4 = k(x2 - y2) prove that dy/dx = x 1- x4 / y 1- y4 ...
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1. A function f(x) is defined so that for all real x {f(x)}n = f(nx). Prove that f(x).f'(nx) = f'(x).f(nx). ...
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Evaluate lim x→∞ (ncr pr qn-r) if np = m , p+q =1 and m,r are contant. ...
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If f(x) \epsilon [1,2] when x \epsilon R and for a fixedreal number p f(x+p) = 1 + f(x)- {f(x)}2 for all x \epsilon R then prove that f(x) is a peroidic function. ...
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1. Two rods of lengths a and b side along coordinate axis in a manner that their ends are always concyclic. Find the locus of the centre of the circle passing throw these ends. 2.The base of a triangle passes throw a fixed po ...
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please tell me any good online book for trignometry ...
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1.Prove that sin(3x) = 4sinx.sin2x.sin4x 2.Solve : cosx(1+sin x/4 - 2cosx) + sinx (cosx/4 - 2sinx) = 0 3.solve : cos 3x + cos 2x = sin 3x/2 + sin x/2 , x=(0,pi) 4.solve for x and y : cos2x + cosx.cosy + cos2y = 0 ...
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1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0 2.f(α,β)= cos4α/cos2β + sin4α/sin2β then prove that f(α,β) = 1 3.cosA = tanB, cosB = tanC and cosC= tanA then ...
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1.If A+B+C = ∠and A,B,C belongs to (0,âˆ/2) then prove that secA +secB +secC≥6 2.Prove that sinx.sin2x.sin3x <9/16 3.Prove that in triangle ΔABC cosec A/2 + cosec B/2 +cosec C/2 ≥ 6 4.Prove that in triangle ΔABC ...
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1.Prove that sin2nx + cos2nx ≤ 1 for all x and n≥1 ...
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2.A + B + C = 180 prove that cos A/2 + cos B/2 + cos C/2 = 4cos(âˆ-A)/4 . cos(âˆ-B)/4 . cos(âˆ-C)/4 ...
