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Lakshya: 7:17pm 14-11-08 The question is that there is a right angled triangle ABC right angled at B. The angle bisectors of angle A and C meet at a point P. From P a perpendicular PM is drawn to AC. If the length of PM is 4r ...
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If a=(z-i)/(z+i) then show that when z lies above the real axis , a will lie within the unit circle which has the centre at origin.Find the locus of a as z travels on real axis from -∞ to +∞. ...
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f(ω) = (ksin ω + 2 cos ω)/(sin ω+ cos ω) increasing for all values of ω, then find the range of k. ...
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If in a trianglye ABC, C>3pi/2, then fine the interval in the which the value of (1+tanA)(1+tanB). But how can any angle in a triangle be greater than 3pi/2 ???????? ...
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If A=320° then 2sin(A/2) = ? a)√1+sinA -√1-sinA B) √1+sinA +√1-sinA C)-√1+sinA -√1-sinA d)√1+sinA+√1-sinA ...
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Sketch cos2X+cosy=0 ...
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Find number of roots::::: [sinx]=[cosx] ...
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consider a parabola.... we can usually draw three normals to it from an external point.... ..FIND THE LOCUS OF ALL THOSE POINTS FROM WHICH ONLY TWO NORMALS CAN BE DRAWN .... ...
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*Image* two rats A and B having initial positions at A and B at t=0. Rat A start chasing rat B with constt speed u. at the same time rat B start running in +ve x-axis with same speed. Find te mini distance btw them. ...
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If atanθ+bcot2θ=c acotθ-btan2θ=c,Eliminate θ ...
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prove that for +ve values of x x2 > (1+x)[log(1+x)]2 ...
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find x ( 3/5)x+ (4/5)x=1 ...
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If θ and α are two real numbers such that ( cos4 θ/cos2 α) + (sin4 θ/sin2α) = 1 then prove that: - (cos2n+2 θ/cos2nα) + (sin2n+2θ/sin2nα) = 1 for integral values of n. ...
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Find a 3 digit number whose digits are in A.P. and if 400 is added to it, then its digits are in G.P. ...
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If ax+by+c=0 is the polar of (1,1) w.r.t the circle x2+y2-2x+2y+1=0 and H.C.F of a,b.c is equal to one then a2+b2+c2= ? ...
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Find the range of f(x)=ln(1+x2/1+x+x2). is the ans [ln(2/3),ln(2)] ? ...
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∫1/(sin^2x+sinx+1) itz sin square x +sinx+1 tryin cinc couple o dayz wa cod b substitn >>>>>>>> ...
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let f(x) be a polynomial with integral co - efficients such that f(m) = f(n) = f(o) = f(p) = 2008 where m ≠n ≠o ≠p prove that there will exist no integer k such that f(k)=2010 ...
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find the equation of tangents drawn to the curve y2 - 2x3 -4y + 8 from the point (1,2) ???? ...
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graph of e^(1/sinx)..... ...
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exact value of cos 20° + 2 sin2 55° - 2 sin65°. ...
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1. find the value of cos 6° + sin 24° 2. fine the value of cos2 3π/5 + cos2 4π/5 ...
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find the general solution of sin2 4x + cos2x = 2 sin4x. cos4x. ...
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1.What does book mean by: (axb)2 2. What is (axb).(cxd) equal to? I'm Having problems with properties of x and . products....(above problem q.2) ...
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Solve for x 1/[x] + 1/[2x] = {x} + 1/3 [x] - greatest integer function {x} - fractional part of x ...
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plzz tell me a site from where i can get all the formulae of all the chapters of physics maths n chem....so that i can go through all the formulae at one stress only....coz revicing formulae from here n there waste lots of ti ...
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Find the solutions for x and y x + y=[x][y] [.] - stands for greatest integer function ...
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The derivative of the fn y=sin-1[(2x)/(1+x2)] doesn't exist for a)all values of x satisfying |x|<1 b)x=1,-1 c)all values of x for which |x|>1 d)none ...
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1 + 1/(2*2) + 1/(4*3) + 1/(8*4) + 1/(16*5).....to infinite terms ...
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Suppose a and b are real numbers such that the roots of the cubic equation ax3-x2+bx-1 = 0 are all positive real numbers. Prove that : (i) 0 < 3ab ≤1 (ii) b≥ 3 P.S. I can't believe I missed this ... this one i ...