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*Image* i believe that answer is not given in options....all options are wrong i mean..or did they mean that "positive real number" rather than "real numbers"? ...
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pi/2 ∫ sin 2nx log cos x dx = 0 A)pi/2 B) pi/2 C) pi/2 ∫ cot cos 2nx dx ∫ tan cos 2nx dx 1/2n ∫ tan sin 2nx dx 0 0 0 ...
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Q1 Let h(x) = l kx+5 l and domain of f(x) and f(h(x)) are [-5,7] and [-6,1] respectively, then value of k is _____ (the answer is X if cant say) Q2. lim(x->0) [ sinx/x ] = _____ [lim(x-->0) sinx/x ] = ______ ...
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1) \int_{0}^{2a}\sqrt{2ax-x^{2}} 2) \int_{-1/2}^{1/2}\left ( [x]+ln(\frac{1+x}{1-x}) \right )dx 3) \int_{-2}^{2}\frac{3x^{5}+4x^{3}+2x^{2}+x+20}{x^{2}+4} ...
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Find the range of x: √(x^2 -x) /1-|x| ...
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*Image* SALUTING THE GENIUS ON HIS 20 YEARS A THREAD DEDICATED TO HIM , AS I AM A VERY BIG FAN OF HIM... ENJOY... ...
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in carnot cycle, one process is isothermal and the other is adiabatic. the isothermal process is meant so that heat doesn't flow irrevesible between the working substance and heat reserviour. then WHAT IS THE USE OF HAVING TH ...
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\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}} = 1 Hint: Observe before you jump to solve ;) Src: Mathematics and Problem Solving : Soifer ...
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\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}} = 1 Hint: Observe before you jump to solve ;) Src: Mathematics and Problem Solving : Soifer ...
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\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}} = 1 Hint: Observe before you jump to solve ;) Src: Mathematics and Problem Solving : Soifer ...
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\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}} = 1 Hint: Observe before you jump to solve ;) Src: Mathematics and Problem Solving : Soifer ...
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\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}} = 1 Hint: Observe before you jump to solve ;) Src: Mathematics and Problem Solving : Soifer ...
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Ques) If A (1,2) ; B (3,4) and C (x,y) be a point such that (x-1) (x-3) + (y-2) (y-4) = 0. If areas of triangle ABC =1 then the max no. of positions of C in XY plane is (a) 4 (b) 3 (c) 2 (d) none ...
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1)a series f +ve nos is such that a1=4 and an+1=an+ 4/an n>0.then [a100]= (where [] represents greatest integer function) a.28 b.29 c.30 d.31 2)wht can be said abt the planes 2x-4y+2z=5 5x-y-z=8 x+y-z=7.........(multiple a ...
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\int_{-1}^{0}{\int_{-\sqrt{1-x^{2}}}^{0}{\frac{2}{1+\sqrt{x^{2}+y^{2}}}}}dydx ...
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\int_{-1}^{0}{\int_{-\sqrt{1-x^{2}}}^{0}{\frac{2}{1+\sqrt{x^{2}+y^{2}}}}}dydx ...
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\int_{-1}^{0}{\int_{-\sqrt{1-x^{2}}}^{0}{\frac{2}{1+\sqrt{x^{2}+y^{2}}}}}dydx ...
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Hi T IIT IIANS !!! ...
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i am a bit confused .-radioactivityas we know there is always a mass defect .then why the packing fraction is positive as well as negative..................hmmm let me see how can help ...
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very simple ones bt im stuck.. 1.find minimum value of (a2+3a+1)(b2+3b+1)(c2+3c+1)/abc 2.x,y,z are +ve real no.s satisfy 4xy+6yz+8xz=9 find max value of xyz. ...
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Hi T IIT IIANS !!! ...
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Draw the rough sketch of of portions of curve x2=4[√x]y and y2=4[√y]x that lie within the square the square {(x,y) | 1≤x≤4, 1≤y<4}. Hence find the area that encloses the two curves and the line x+y=3 ...
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find the value of *Image* ...
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A compilation of quesitons similar to the way bhargav had one :P (hence borrowed a part of the name..) Keep solving and i will keep adding questions here... To begin with first 5 are here... Question 1) \left(\frac{dy}{dx}+1\ ...
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0∫1 x (1-x)/1+x) = ?? A. 1 B. 1- π/4 C. 1+π/4 D. none of these ...
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find the Domain and Range(of course give explanation) these are also last yrs question 1)f(x)=limn->∞cos(n! 2Πx) 2)g(x)=limn->∞cosn( 2Πx) 3)h(x)=limn->∞{cos(nx) + 2}1/n ...
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i am excited to see the solution: (a-b)(b-c)(c-a)=a^{2}+b^{2}+c^{2} ...
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If ω≠1 is cube root of unity satisfying 1/a+ω +1/b+ω +1/c+ω =2ω2 and 1/a+ω2 +1/b+ω2 +1/c+ω2 =2ω Find value of 1/a+1 +1/b+1 +1/c+1 ...
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If 1,α1,α2,...,αn-1 are nth roots of unity , then value of (1+α1(1+α2)...(1+αn-1) ...
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Ques1) The value of lim x→0 { cos (m2+n2) x } mn / (m2+n2)x (a) e mn (m2+n2) (b) e- mn (m2+n2) (c) e- mn/2 (m2+n2) (d) e mn/2 (m2+n2) Ques2) lim x→0 [sin -1 x / tan -1 x ] , whre [.] denotes the greates integer function ( ...