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If (2 sin x) dy/dx (y 1)cos x = 0 and y(0) = 1, then y(π/2) is equal to
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If the image of the point P(1, –2, 3) in the plane, 2x 3y – 4z 22 = 0 measured parallel to the line, x/1 = y/4 = z/5 is Q, then PQ is equal to
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The area (in sq. units) of the region {(x, y) : x ≥ 0, x + y ≤ 3, x2 ≤ 4y and y ≤ 1 + √x } is
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