# 2nd PUC Mathematics Series 10

PUC Science 2nd Year Mathematics Series-10 quiz

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2nd PUC Mathematics Series 10

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91. The tangent to the parabola x2 = 2y at the point (1, 1/2) makes with the x-axis an angle of

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92. The two curves x3 – 3xy2 + 5 = 0 and 3x2y – y3 – 7 = 0

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93. The tangent to the curve y = 2x2 -x + 1 is parallel to the line y = 3x + 9 at the point

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94. The tangent to the curve y = x2 + 3x will pass through the point (0, -9) if it is drawn at the point

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95. Find a point on the curve y = (x – 2)2. at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

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96. Tangents to the curve x2 + y2 = 2 at the points (1, 1) and (-1, 1) are

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97. If there is an error of 2% in measuring the length of a simple pendulum, then percentage error in its period is

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98. If there is an error of a% in measuring the edge of a cube, then percentage error in its surface area is

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99. If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximating error in calculating its volume.

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100. Find the approximate value of f(3.02), where f(x) = 3x2 + 5x + 3