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Let f:R→R be given by f(x) =(x+1)2 - 1 where x ≥ -1 .If A= {x:f(x)=f-1(x)} ,then A=? ...
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If limx→0 [(1+λ) + 8e1/x] / [1+ (1-k)e1/x ]= 2, then λ+k =? ...
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A triange has sides a,b,c and altitudes opp. to these sides h1,h2,h3 resp. The max. value of a2/h12+b2/h22+c2/h32 = ? ...
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If a,b,c,d are the roots of eq. x4+P1x3+P2x2+P3x+P4 =0,then (1+a2)(1+b2)(1+c2)(1+d2) = ? ...
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Find the area bounded by r=a(1+cosθ),0<θ<2π. ...
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The least dist. b/n y2=4ax and (y-ba)2=-4ax is 8√5a,where b is posiive. The value of b is_? ...
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2sin-1x + cos-1y +3sec-1z = 10(sin-1+cos-1w) [x,y,z are in suitable range] .The value of Tan-1 modulus of {x+1/ (y+2)(z+3)} = ? ...
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∫sin(x-π/6)sin(2x-π/3)sin(3x-π/2)sin(4x-2π/3)sin(x-5π/6)dx = ? ...
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A block of mass 1kg held by a sting is on an inclined plane of inclination 37 degrees. The coeff. of friction (μ) = 0.8. Find the tension in the string. ...
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The least value of P for which the two arg(z) and /z - 2√3i / = P intersect is _? ...
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∫F(x)sinxcosx.dx = F(x)/ 2(b2 - a2),then F(x) =? 1) 1/a2sin2x + b2sin2x 2) 1/a2sin2x - b2cos2x 3)1/a2cos2x + b2sin2x 4) 1/a2cos2x - b2sin2x ...
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∫sin- x - cos- x / sin- x + cos- x dx = ? ...
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Two parabola's y2=4a(x-λ1) and x2=4a(y-λ2) always touch each other, λ1 and λ2 being variable parameters. Then their points of contact lie on a _ 1) straight line 2) parabola c) circle d) hyperbola ...
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Weakest acid among the following is : A) ClO3(OH) B)ClO2(OH) C)SO(OH)2 D)SO2(OH)2 ...
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If y2=P(x) is a polynomial of degree 3 then 2d/dx{y3d2y/dx2} =? ...
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A simple harmonic oscillator of force constant k oscillates with amplitude in a frictionless medium.Answer the following ques: 1) The position average kinetic enrgy per oscillation is_? 2) The time average potential energ ...
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Successive ionisation potentials of an element M are 8.3,25.1,37.9,259.3 and 340.1ev. The formula of its Bromide is _? ...
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If x,y,z are respectively sines and p,q,r are respectively the cosines of angles α,β,γ which are in A.P with common difference 2pi/3 ,then 1)x+y+z=? 2)p+q+r=? 3)xy+zx+yz=? ...
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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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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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250ml of a sol. contains 2.65 grams of Na2CO3. 10ml of this sol. is added to "x" ml of water to obtain 0.001M Na2CO3 SOL. What is the value of"x" in ml ?? ...
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ltn→∞ {x} +{2x} +{3x} +.....+{nx}/ n2 {where x denotes the fractional part of x} ...
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The electronic conf. of a tripositive metal ion is [Ar]3d5.If it's mass no. is 60,the total no. of fundamental particles init's neutral atom is....??? ...
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two motor cars start from a point A simultaneously and reach at point b after 2hrs. The first car travelled half of the dist. ata speed of 30km/hr & the other half at a speed of 60 km/hr. The second car covers the entire dist ...
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Li+2 ion is hydrogenic and has a Lyman seriies at 740747cm-1,877924cm-1,925933cm-1 and beyond.Show tht the energy levels are of the form -R/n2 and find the value of R for this ion. Predict the wave no's of the two longest ...
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what do u mean by space average of velocity?? is there any formula for it??...if yes, plzz tell me... ...
