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A point source of light along a straight road is a height of 'a' metres. A boy 'b' metres in height is walking along the road. How fast is his shadow increasing if he is walking away from the light at the rate of c metres per minute.?
cbse
class12
modelpaper
2012
sec-b
q16
math
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Dec 31, 2012
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thanvigandhi_1
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A man 160 cm tall walks away from a source of light situated at the top of the pole 6m high at the rate of 1.1 m/sec. How fast is the length of the shadow increasing when he is 1m away from the pole.
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A man 160 cm tall walks away from a source of light situated at the top of the pole 6m high at the rate of 1.1 m/sec. How fast is the length of the shadow increasing when he is 1m away from the pole.
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The two equal sides of an isosceles triangles with fixed base b cm are decreasing at the rate of 3 cm/sec. How fast is the area decreasing when two equal sides are equal to the base.
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A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lower most. Its semi-vertical angle is \( \tan^{-1} \bigg(\large\frac{1}{2} \bigg) \). Water is poured into it at a constant rate of 5 cubic meter per minute. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 10 m.
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A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall ?
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Two equal sides of an isosceles triangle with fixed base 'a' are decreasing at the rate of 9 cm/second. How fast is the area of the triangle decreasing when the two sides are equal to 'a'.
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