Despotism 3k evil triangle setting9/5/2023 Question.19 A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. Find the total (inner) suface area of the vessel. The diameter of the hemispherical bowl is 14 cm and the total height of the vessel is 13 cm. Question.18 A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder of same diameter. If QA = 7 cm, find the area of the shaded region. 4, AB and CD are two diameters of a circle with centre O, which are perpendicular to each other. Also find the coordinates of the point of division. Question.16 Find the ratio in which the y-axis divides the line segment joining the points (-4, -6) and (10,12). Question.15 Prove that the points (7,10), (-2,5) and (3, -4) are the vertices of an isosceles right triangle. If the height of the second pole is 24 m, find the height of the first pole. The angle of depression of the top of first pole as seen from the top of second pole is 30°. Question.14 The horizontal distance between two poles is 15 m. Sides are 2/3 times the corresponding sides of first triangle. Question.13 Construct a triangle with sides 5 cm, 4 cm and 6 cm. Question.12 Find the number of terms of the AP18, 15 1/2, 13,…., -49 1/2 and find the sum of all its terms. Question.11 For what value of k, are the roots of the quadratic equation kx(x – 2) + 6 =0 equal? Questions number 11 to 20 carry 3 marks each. Question.10 Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm x 7 cm. Find the probability that the drawn card is neither a king nor a queen. Question.9 A card is drawn at random from a well shuffled pack of 52 playing cards. Question.8 Prove that the parallelogram circumscribing a circle is a rhombus. If AB = 12 cm, BC = 8 cm and AC = 10 cm, then find the lengths of AD, BE and CF. 3, a circle inscribed in triangle ABC touches its sides AB, BC and AC at points D, E and F respectively. Question.6 How many three-digit natural numbers are divisible by 7? Question.5 Solve the following quadratic equation for x: Questions number 5 to 20 carry 2 marks each. Π= 22/7, calculate the circumference (in cm) of the circle. Question.4 If the difference between the circumference and the radius of a circle is 37 cm, then using If PA PB, then find the length of each tangent. 2, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. Question.2 In Fig.1, Calculate the area of triangle ABC (in sq.units). Question.1 Find the common difference of the Ap ![]() ![]() Questions number 1 to 4 carry 1 mark each. Section B contains 6 questions of 2 marks each, Section C contains 10 questions of 3 marks each and Section D contains 11 questions of 4 marks each. ![]() Section A contains 4 questions of 1 mark each.The Question Taper consists of 31 questions divided into four Sections A, B.CBSE Previous Year Question Papers Class 10 Maths SA2 Delhi – 2013
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