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1. fundamental period of [x]+[2x]+[3x]+[4x]+[5x]-15x.....= 2. fndmntl prd of a*[sin*{b tan(x)}]......... ...
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Let ABC be any triangle with altitudes h1,h2,h3 and inradius r, then find the minimum value of (h1+r)/(h1-r) +(h2+r)/(h2-r) +(h3+r)/(h3-r) = If A,B and C are three non-collinear points in a plane, the area of the greatest equ ...
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1.The total no. of all proper factors of 75600 is (ans- 118) 2. If nC4,nC5,nC6 are in AP, then the value of n is (ans- 7 & 14) 3. Let the exponent of 7 in 100C50 is t. Then t will be (a) divisible by 7 (b) div by 100 (c) div ...
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Find the range of x: √(x^2 -x) /1-|x| ...
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Vapour density of PCl5 is 104.16 but when heated to 230°C its VD is reduced to 62. The degree of dissociation of PCl5 at this temp = (a) 6.8% (b) 68% (c) 46% (d) 64% ...
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What is the length of the strip of all millimetre squares in one square metre, if placed one along side the other? (u must calc. mentally) ...
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Find the sum to n terms of the series : 3/4 + 15/16 + 63/64 + .......= (a) n-(4^n/3) + 1/3 (b) n-(4^n/3) - 1/3 (C) n-(4^-n/3) +1/3 (D) n-(4^-n/3) - 1/3 ...
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The pink violet colour of KMnO4 is due to: (a) d-d transition (b) p-d transition (c) charge transfer (d) Both (a) & (c) ...
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The pink violet colour ok KMnO4 is due to: (a) d-d transition (b) p-d transition (c) charge transfer (d) Both (a) & (c) ...
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cos 2φ/ sin 3φ < 0, if φ lies in: (a) {(13π/48),(14π/48)} (b) {(14π/48),(18π/48)} (c) {(18π/48),(23π/48)} (d) {(π/2),π} ...
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The number of non- negative integral solutions of x1+x2+x3+x4=20 with at least one of the xi ( i=1,2,3,4) is even is: (a) 1500 (b) 1470 (c) 1450 (d) 1606 ...
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The area that is outside the square |x| + |y| ≤1 and inside the circle x^2 + y^2 =1, is given by: (a) Π- 3 (b) Π- 2.5 (c)Π- 1 (d)Π- 2 ...
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A soln of weak acid was titrated with NaOH. The equivalence pt. was reached when 36.12 ml of 0.10 (N) NaOH have been added. Now 18.06 ml of 0.1(N) HCl was added to the titrated soln.The pH was found to be 4.92. What's Ka of a ...
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Substitute the question marks..... 0,1,2,3,4,5,6,7,8,9 ? ? ? + ? ? ? ---------- ? ? ? ? Using each of the digits given above, and using each digit exactly once fill in the question marks ...
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If c is positive and 2ax^2 + 3bx +5c=0, does not have any real roots, then prove that 2a-3b+5c>0. ...
