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Q1: *Image* a)-1 b)loge1 c)1 d)none q2: *Image* a) 1/2 sin3a b) 1/2 cosec2a c)sin3a d)cosec3a q3: *Image* a)1 b)-1 c)0 d)none q4:if 0<x<y then *Image* a)e b)x c)y d)none q5: *Image* a)1 b) sinx/x c) x/sinx d)none ...
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mathop {lim }limits_{n o infty } left[ {frac{1}{n} + frac{1}{{n + 1}} + frac{1}{{n + 2}} + ....... + frac{1}{{3n}}} ight] = a) 0 b) {log _e}4 c) {log _e}3 d) {log _e}2 ...
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The angle of elevation of the sun, when the shadow of the pole is 3 times the height of the pole, is? ...
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tan-1(tan 7) = a:7-2Î b:2Î -7 c:7 Please give the reason behind the answer. ...
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the positive values of a for which the equation [x+a]=sin(Ï€x/2) will have no solution is,where [.] denotes greatest integer function- a) (0,1); b)(1,2);c) (0,2);d) NOT. ...
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1)If sin-1x + tan -1x = , then 2x2 + 1= 2)2 sin -1x = cos-1 (1 -2x2) is true for a. -1<=x<=1 b.-1<=x<=0 c.0<=x<=1 d.None of these 3)7)If sin-1x+sin-1y=2pi/3, cos-1x–cos-1y=pi/3, the number of ordered pairs ...
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(A) ∫1/ cos6(x) + sin6(x) (B) ...
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*Image* ...
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(a) )\int 1/COS^{6}(x)) + SIN^{6}(X)) ...
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lim [(1+x)^(1/x) -e]/x x→0 ...
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(A) ∫dx/ sin11xcosx (B) ∫ cos3x/sin11x please show the steps ...
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What is the value of tan1tan2tan3...........tan89? ...
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Integral Of (a) Sec(X)+1 (B) ∫{cos(5x) + cos(4x)}/1-2cos(3X) (C) ∫ {F(x)φ'(x) + F'(x)φ(x)} / (F(x)φ(x)+1) φ(x)f(x) + 1 ...
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If ∫f(x)sinxcosxdx=lnf(x)/(b2 -a2) +c then f(x)=? ...
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Integral Of (a) Sec(X)+1 (B) ∫{cos(5x) + cos(4x)}/1-2cos(3X) (C) ∫ {F(x)φ'(x) + F'(x)φ(x)} / (F(x)φ(x)+1) φ(x)f(x) + 1 ...
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an {{1}^{o}} an {{2}^{o}} an {{3}^{o}} an {{4}^{o}}............ an {{89}^{o}}= a) 1 b) 0 c) infty d) ½ ...
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7)The fractional representation of the noa.11343/990 b.11457/1000 c.1138/999 d.11343/999 Your Answer a Correct Answer d Your Score -1 How is that possible? Please verify the answer. ...
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1. *Image* 2. *Image* 3. *Image* ...
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If f(x) = frac{x}{{x - 1}}, then frac{f(a)}{f(a+1)} a) f(-a) b) fleft( {frac{1}{a}} ight) c) f({a^2}) d) fleft(frac{-a}{a-1} ight) ...
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Consider the parabola x2 = 4y and circle x2 + (y – 5)2 = r2 (r > 0). Given that the circle touches the parabola at the points P and Q. Let R be the point of intersection of tangents to parabola at P and Q and S be the ce ...
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viii) f( x) =((2x-1)/(x-1)) ...
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f(x)= log[x]/x evaluate limit x→ ∞ ...
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mathop {lim }limits_{n o infty } frac{{{1^p} + {2^p} + {3^p} + ........ + {n^p}}}{{{n^{p + 1}}}} = a) frac{1}{{p + 1}} b) frac{1}{{1 - p}} c) frac{1}{p} - frac{1}{{(p - 1)}} d) frac{1}{{p + 2}} ...
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There are three coplanar parallel lines.If any p points are taken on each of the line,the maximum number of triangles with vertices at these points is a.3p2(p-1) b.3p2(p-1)+1 c.p2(4p-3) d.None of these ...
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the amount of water contained in a sphere o9f radius 3cm is pour into a cube of 5cm . the height up to which water will rise i the cube is.... a)2 cm b)3Ï€/4 cm c)0.5Ï€ cm d)1.44Ï€ cm pllzzz the workout as well.. thanku... ...
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f(x)= (1-cosx) (1-cosx)..... upto ∞ ...
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f(x)=mod(x-1)-[x] evaluate limit x→ 1 ...
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f(x+y)=f(x)+f(y) f(x)is a)even or b)odd function please show the working ...
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f(x)=|cos x| prove that it is periodic f(x)= [x] prove that it is non periodic ...
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f(x)= log[x]/x evaluate limit x→ ∞ ...