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Mathematics
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The curved surface area of a right circular cone is 1·76 m² and its base diameter is 140 cm. What…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The locus of the mid-points of the radii of length 16 cm of a circle is
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The length of a line segment AB is 2 cm. It is divided into two parts at a point C…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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There are as many square centimetres in the surface area of a sphere as there are cubic centimetres in its…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The radii of two circles are 4·5 cm and 3·5 cm respectively. The distance between the centres of the circles…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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What is the volume of a cone of maximum volume cut out from a cube of edge 2a such that…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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A region of area A bounded by a circle C is divided into n regions, each of area A/n, by…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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A right circular cone is sliced into a smaller cone and a frustum of a cone by a plane perpendicular…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If the ratio of the radius of the base of a right circular cone to its slant height is 1…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Two equal circular regions of greatest possible area are cut off from a given circular sheet of area A. What…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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The radius and slant height of a right circular cone are 5 cm and 13 cm respectively. What is the…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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ABC is a triangle right angled at C with BC = a and AC = b. If P is the…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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ABC is a right angled triangle with base BC and height AB. The hypotenuse AC is four times the length…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If x = (sec²θ – tan θ)/(sec²θ + tan θ), then which one of the following is correct?
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If sin A + cos A = p and sin³A + cos³A = q, then which one of the following…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If cos²x + cos²x = 1, then what is sin²x + sin⁴x equal to?
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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If sec x cosec x = 2, then what is tanⁿx + cotⁿx equal to?
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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From a height of h units, a man observes the angle of elevation as α and angle of depression as…
CDS Elementary Mathematics 2018
CDS 2018
Mathematics
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Each side of a square subtends an angle of 60° at the tip of a tower of height h metres…
CDS Elementary Mathematics 2018
CDS 2018