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Let be a regular hexagon. The ratio of the area of the triangle to that of the hexagon PQRSTU is
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Important Questions on Taste of The Exams - Block IV
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A right circular cylinder has a height of and a radius of A rectangular solid with a height of and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. The volume of the liquid is
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A rectangular plank metre wide, is placed symmetrically along the diagonal of a square of side metres as shown in the figure. The area of the plank is:
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A flag pole on the top of a mall building is high. The height of the mall building is To an observer at a height of the mall building and the pole subtend equal angle. If the horizontal distance of the observer from the pole is then what is the value of
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A chord of length is drawn in a circle of radius Find the area of the shaped portion .
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Two tangents are drawn from a point P on the circle with centre at touching the circle at point and respectively. Another tangent touches the circle at point If angle , find the angle
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The coordinates of a triangle are , , and find the equation of the median
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ABCD is a square with sides of length units. OCD is an isosceles triangle with base CD. OC cuts AB at point Q and OD cuts AB at point P. The area of trapezoid PQCD is square units. The altitude from O of the triangle OPQ is:
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How many differently shaped triangles exist in which no two sides are of the same length, each side is of integral unit length and the perimeter of the triangle is less than units?
