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ARIHANT PRAKASHAN-VERY SIMILAR TEST 8-Section B
- Prove that int(0)^(pi//4)2tan^(3)xdx=1-log2.
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- Find the area of the region included between the parabola y^(2)=2x and...
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- Find the vector equation of the plane through the points (2,1, -1) and...
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- Prove that veca xx (vecb xx vecc) + vecb xx (vecc xx veca) + vecc xx (...
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- If vecaxxvecb = vecbxxvecc ne vec0, prove that veca+vecc = mvecb, wher...
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- Find the shortest distance between the lines (x-3)/(1) = (y - 5)/(-2)...
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- Solve for x, "tan"^(-1)((2x)/(1-x^(2)))+""cot"^(-1)((1-x^(2))/(2x))=...
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- Corner points of the feasible region determined by the system of linea...
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- Let R be a relation on the set A of ordered pairs of positive integers...
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- Show that the function f:R to R defined by f(x)=(x)/(x^(2)+1) is neith...
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- If "cos"^(-1)alpha+"cos"^(-1)beta+"cos"^(-1)gamma=3pi, then find alpha...
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- Sita and Gita throw a dia alternatively till one of them gets a 6 to w...
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- If A(x(1), y(1)), B(x(2), y(2)), and, C(x(3), y(3)) are vertices of an...
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- If you throw a pair of dice n times, find the probability of getting a...
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- Find the points on the curve y = x^3 – 3x^2 + 2x at which the tangents...
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- Find the interval(s) in which the following functions are (i) increa...
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- If sqrt(1-x^4) + sqrt(1-y^4) =k(x^2 - y^2) then show that dy/dx = {x...
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- If y=(sinx)^(x)+sin^(-1)sqrt(x), then find (dy)/(dx).
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- Examine if Rolle's theorem is applicable to the function f(x) = cotx o...
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- Find the differential equation for the family of curve y= a sin^(-1) x...
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