Question - A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. [Use --------]
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Question - A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. [Use --------]
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Question - Find the values of k for which the quadratic equation 9x^2 - 3kx + k = 0 has equal roots.
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Question - For what values of k, the roots of the quadratic equation (k + 4) x2 + (k + 1)x + 1 = 0 are equal?
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Question - For what values of k, the roots of the quadratic equation (k + 4) x2 + (k + 1)x + 1 = 0 are equal?
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Question - Water is flowing through a cylindrical pipe, of internal diameter 2 cm, into a cylindrical tank of base radius 40 cm, at the rate of 0.4 m/s. Determine the rise in level of water in the tank in half an hour.
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Question - In Fig., AB and CD are two diameters of a circle with centre O, which are perpendicular to each other. OB is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region. [ -------]
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Question - The sum of first n terms of an AP is 3n^2 + 4n. Find the 25th term of this AP.
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Question - A vessel is in the form of hemispherical bowl surmounted by a hollow cylinder of same diameter. The diameter of the hemispherical bowl is 14 cm and the total height of the vessel is 13 cm. Find the total surface area of the vessel. [Use --------]
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Question - The horizontal distance between two poles is 15 m. The angle of depression of the top of first pole as seen from the top of second pole is 30^o. If the height of the second pole is 24 m, find the height of the first pole. [Use ---- 1.732]
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Question - A bucket is in the form of a frustum of a cone and its can hold 28.49 litres of water. If the radii of its circular ends are 28 cm and 21 cm, find the height of the bucket. -------
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Question - The sum of the 2nd and the 7th terms of an AP is 30. If its 15th term is 1 less than twice its 8th term, find the AP.
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Question - A shopkeeper buys some books for Rs. 80. If he had bought 4 more books for the same amount, each book would have cost Rs. 1 less. Find the number of books he bought.
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Question - Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
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Question - A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability that the drawn card is neither a king nor a queen.
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Question - Tangents PA and PB are drawn from an external point P to two concentric circle with centre O and radii 8 cm and 5 cm respectively, as shown in Fig., If AP = 15 cm, then find the length of BP. ------------
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Question - Find the ratio in which the y-axis divides the line segment joining the points (-4, -6) and (10, 12). Also, find the coordinates of the point of division.
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Question - The volume of a hemisphere is ------- cm^3. Find its curved surface area. ---------
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Question - If the vertices of a triangle are (1,-3), (4,p) and (-9,7) and its area is 15 sq. units, find the value (s) of p.
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Question - In fig., l and m are two parallel tangents to a circle with centre O, touching the circle at A and B respectively. Another tangent at C intersects the line l at D and m at E. Prove that --DOE 90--
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