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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
- For any two vectors vec a and vec b , prove that (vec a xx vec b )^2=...
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- Find the co-ordinates of the point, where the line ((x+2)/1)=((y-5)/3)...
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- Using matrices solve the following system of linear equations: {(2x+3y...
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- Find int ((x-1)/ ((x-2)(x-3))) dx
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- Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...
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- Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx
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- Find the differential equation representing the family of curves y=-Ac...
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- If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show dy/dx = sqrt((1-y^2)/(1-x^...
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- Find the area of the region {(x, y) : y^2 <=6ax and x^2+y^2<=16a^2} ...
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- Find the differential of the function cos^(-1) (sin 2x) w.r.tx.
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- Find int e^x((2+sin 2x)/(2 cos^2x)) dx
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- Using integration, find the area of the triangle bounded by the lines:...
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- Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,...
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- If A and B are independent events with P(A)=3/7 and P(B)=2/5 then fin...
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- show that the function f in A = R - {2/3} defined as f(x) = (4x+3)/(6x...
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- A company manufactures two types of novelty souvenirs made of plywo...
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- A card from a pack of 52 cards is lost. From the remaining cards of...
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- Find the co-ordinates of the foot of perpendicular and its perpendicul...
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- Find the vector equation of the line passing through (2,1,-1) and para...
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- Prove that the radius of the right circular cylinder of greatest cu...
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