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ARIHANT PRAKASHAN-VERY SIMILAR TEST 10-SECTION C (30 MARKS)
- Find the distance of the point (2, 1, 0) from the plane 2x + y + 2z +...
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- If x = sin^(-1) ((2t)/( 1 + t^(2) )) and y= tan^(-1) ((2t)/( 1-t^(2) )...
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- Find the equations of the tangent to the curve y = x^(2) - 2x + 7, whi...
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- Find the area of the region bounded by y=-1, y=2, x=y^(3) and x =0.
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- Solve (dy)/(dx) = e^(x +y) + e^(-x +y).
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- Evaluate int e^(x) ((1 + sin x cos x)/( cos^(2) x)) dx.
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- Find the points on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2) at a d...
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- Prove that cos^(-1)[(cos alpha +cos beta)/(1+cos alpha cos beta)]=2tan...
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- Answer any one question (b) A factory makes tennis rackets and crick...
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- Let f : N rarr N be defined by f(n) = {{:((n+1)/(2), if "n is odd"),...
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- Answer any one question (a) Determine the product [{:(-4,4,4),(7,1,3...
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- Three cards are drawn successively, without replacement from a pack of...
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- Find the inverse of the following matrix using elementary transformati...
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- If x = sin^(-1) ((2t)/( 1 + t^(2) )) and y= tan^(-1) ((2t)/( 1-t^(2) )...
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- Find the equations of the tangent to the curve y = x^(2) - 2x + 7, whi...
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- Find the area of the region bounded by y=-1, y=2, x=y^(3) and x =0.
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- Solve (dy)/(dx) = e^(x +y) + e^(-x +y).
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- Evaluate int e^(x) ((1 + sin x cos x)/( cos^(2) x)) dx.
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- Find the points on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2) at a d...
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- A variable plane is at a constant distance 3r from the origin and meet...
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- Prove that cos^(-1)[(cos alpha +cos beta)/(1+cos alpha cos beta)]=2tan...
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