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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
- A black and a red dice are rolled. (a) Find the conditional proba...
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- Using properties of determinants prove that |(1,1, 1+3x),(1+3y,1,1),(1...
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- Find (dy)/dx, if (x^2+y^2)^2=xy
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- If a * b, denoted the larger of 'a' and 'b' and if a o b = a*b + 3 , ...
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- If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...
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- If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)cos^...
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- Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]
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- Find the area of the region in the first quadrant enclosed by the x...
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- Find the equations of the tangent and the normal to the curve 16x^2+9y...
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- Find the intervals in which the function f(x)=x^4/4-x^3-5x^2+24x+12 is...
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- Evaluate : int(0)^(pi/4) (sinx+ cos x)/( 16 + 9sin2x)
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- Evaluate : int1^3 (x^2 + 3x + e^x) dx as the limit of the sum.
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- An open tank with a square base and vertical sides is to be constructe...
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- Find int (2cosx)/((1-sinx)(1+sin^2x)) dx
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- Find the particular solution of the differential equation e^xtanydx+(2...
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- Find the distance of the point (-1,-5,-10) from the point of inters...
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- The differential equations, find a particular solution satisfying t...
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- A factory manufactures two types of screws, A and B. Each type of scre...
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- Let vec a=4hati+5hatj-hatk, vecb = hati -4hatj+5hatk and vec c=3hati+h...
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- Shortest distance between the lines:vecr=(4hati-hatj)+lambda(hati+2hat...
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