Prove that : cot^(-1)7+cot^(-1)8+cot^(-...

Prove that : `cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions

Find the intervals in which the function f(x)=3/2x^4-4x^3-45 x^2+51 is...
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Find the approximate value of f(3. 02), upto 2 places of decimal, whe...
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Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3
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Solve for x : cos(tan^(-1)x)=sin(cot^(-1)\ 3/4)
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Solve the differential equation (x^2-y)dy+(y^2+x^2y^2)dx=0, given t...
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Solve the differential equation (dy)/(dx)+ycotx=2cosx , given that ...
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Find the angle between the lines vec r=2 hat i-5 hat j+ hat k+lambda(...
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Let f:W->W , be defined as f(x)=x-1 , if x is odd and f(x)=x+1 , if x ...
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Using properties of determinants, prove that |[a+x,y,z],[x,a+y,z],[x,y...
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x=acostheta+bsintheta and y=asintheta-bcostheta, show that y^2(d^2y)/(...
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If x^my^n=(x+y)^(m+n) prove that (dy)/(dx)=y/x
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Two schools P and Q want to award their selected students on the va...
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An insurance company insured 2000 scooter drivers, 4000 car drivers...
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Three cards are drawn at random (without replacement) from a well shuf...
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Evaluate : int(xcos^(-1)x)/(1-x^2)dx
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Evaluate :int(3x-2)sqrt(x^2+x+1) dx
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In answering a question on a multiple choice test, a student either kn...
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A manufacturer produces nuts and bolts. It takes 2 hours work on machi...
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Solve the differential equation : (xsin^2(y/x)-y)dx+xdy=0 given y=pi/4...
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The sum of surface areas of a sphere and a cuboid with sides x/3,x and...
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