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For the three events A, B and C. P (exactly one of events A or B occurs) = P (exactly one of events B or C occurs) = P (exactly one of events C or A occurs) = p and P (all events occur simultaneously) = p2, where 0 < p < ...
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Calculate the sum: √1+1/1^2 +1/2^2 + √1+1/2^2 +1/3^2 + ...........+√1+1/2007^2 + 1/2008^2 ...
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Hey guys! I have been selected in IISER Mohali. But actually I'm confused whether to leave B.Tech to join their BS-MS dual degree program. Can anyone let me know the scope of research and employment after finishing this cours ...
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Which is the best option: 1) CSE at Jadavpur University. 2)Electrical and Electronics engineering at NIT Trichy. 3)Mining Machinery at ISM Dhanbad. 4)Mechanical at ISM Dhanbad...? Please help!! ...
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If xyz=1, x+1/z=5; y+1/x=29, then z+1/y=? ...
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1.Let a1=b1=1, a2=2, b2=3, an+1=an+bn, bn+1=2an+bn, then: A> bn2=2an2+1, if nis odd. B> bn2=2an2-1, if n is odd. C> limn->∞ bn/an= 2 -1 D> limn->∞ bn/an= 2 (Multiple correct) ...
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1.N is a 50 digit no.All the digits except the 26th from the right are 1.If N is divisible by 13 then the unknown digit is? ...
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1.Consider a circle with centre O.2 chords AB and CD extended intersect at a point P outside the circle.If <AOC=43 and <BPD=18,then the value of <BOD is: a.36 b.29 c.7 d.25 ...
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If a circle with centre C(alpha ,beta) intersects a rectangular hyperbola with centre L(h,k) at four points P(x1,y1), Q(x2,y2), R(x3,y3) and S(x4,y4), then the maen of the 4 pts P,Q,R,S is the mean of the pts C and L.In other ...
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If A+B+C=pi FInd the least value of 2tanA + 3 tan B + tanc. ...
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1) A line drawn from P(p,q) intersects the curve x^2+2hxy+by^2-1=0 at points Q and R(P not lying on th curve).If the product PQ . PR is always equal to 2,then: a)p=1, q=-1 b)p^2 + q^2 = 2 c)p=0, q=2 d)p=-1, q=1 ...
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If y=e^x sinx Find d10y/dx10. ...
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*Image* 1.We know that the formula for time period for a simple pendulum is 2pi√(l/g).While deriving the formula we say that Theta is small so sin Theta is aproximately =theta.Thus the formula is valid for small oscillation ...
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1.Let us define a recursion as: b1 = 1, bn = cos bn-1 Find:- limn→ ∞(infinity) bn a) does not exist. b) lies between 1 and 2. c) lies between 0 and1/2. d) lies between 1/2 and 1. ...
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A rod of mass m, length l is hinged at a distance x from the top.A force F is apllied at the bottom.Find x such that hinge reaction is 0. ...
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1.Consider a circle of radius R.A point charge lies at a distance a from its centre and on its axis such that R=a 3 .If electric field passing through the circle is ∂, find the magnitude of the charge. ...
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A point P moves inside a triange A(00),B(1,1/ 3 )and C(2,0) such that min(PA,PB,PC)=1,then the area bounded by the curve traced by P is: a)3 3 -3pi/2. b) 3 +pi/2 c) 3 -pi/2 d)3 3 +3pi/2 ...
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[p1.Let a function f be defined on positive integers by the setting: f(m,n)={ f(m-n,n),if m>=n; m,if m<n } COLUMN-1 COLUMN-2 A>f(32009,4)= p)2 B>f(22010,25)= q)0 c>f(52010,7)= r)3 d>f(163+173+183 +193) s)1 h ...
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Find the area enclosed by: |x+y-1|+|2x+y+1|=1 ...
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1.Three particles are situated at 3 vertices of a triangle ABC of side a.Each particle moves with a speed v such that A moves towards B, B towards C and C towards A.Find the trajectory of the the particles. ...
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A particle of mass m moves on x axis as follows:It starts at t=0 from x=0 and comes to rest at t=1 and x=1.If 'a' denotes the instantaneous accelaration of this particle then, a) a can not remain +ve for all t in the interval ...
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P.T: (n c 0) (2n c n) - (n c 1) (2n-1 c n) +.... [(-1)^n] (n c n) (n c n)] =8 ...
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1.Positive charge Q is distributed uniformly over a circular ring of radius R.A particle having mass m and a negetive charge q,is placed on its axis at a distance x from the centre.Find the force acting on the particle and it ...
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Find no of solutions of : Sin(pi x)=|log|x||. ...
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1.ABCD is a rectangle with A(-1,2) B(3,7) and AB:BC=4:3.If distance of the origin from the centre of the rectangle is d,then find [d]. ...
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1. 7 rods A,B,C,D,E,F,G are joined in the form of 2 adjacent rectangles with F as the common side. Rectangle AECF and BGDF(Clockwise).All rods have equal cross sectional area A and equal length l.The thermal conductivities of ...
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1.If roots of ax^2-bx+c=0 lies between 0 and 1 P.T: log abc>2 5 ...
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1.find min value of:secA+secB+secC where A+B+C=PI. ...
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1.Determine whether or not there exists a positive integer n such that n is divisible by exactly 2000 different prime nos,and 2^n+1 is divisible by n. ...
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f(x)=x^2+bx+c. If f(x) assumes only interger values for all integer x then : a)b must be integer but c may not be. b)c must be integer but b may not be. c)b+c must be integer. d)None of these. ...
