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The given figure shows an eye-drop bottle consisting of a hemispherical part and a cylindrical part, with a conical cap. The height…
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The polynomial kx³ + 3x² − 11x − 6 leaves a remainder of 6 when divided by x + 1. (a) Find…
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In the given diagram, O is the centre of the circle and the tangent DE touches the circle at B. If ∠ADB…
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If A = , B = and AB = , find the values of a and b.
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The 4th and the 7th terms of an A.P. are 60 and 114 respectively. Find: (a) the first term and the common…
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Assertion (A): The 9th term of the G.P. 6, −12, 24, −48, … is positive. Reason (R): (−2)⁸ is positive. (a) A…
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If A = and B = , then the order of AB is: (a) 2 × 2 (b) 2 × 1 (c)…
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In the given figure, AOB is a right-angled triangle and C is the midpoint of the hypotenuse AB. If the coordinates of…
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What must be added to x³ + 7x² + 3x + 2 so that the resulting polynomial is exactly divisible by x…
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The areas of two similar triangles are in the ratio 9 : 64. The ratio of their corresponding altitudes is: (a) 3…
