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Earn 100
In a circular field, AOB and COD are two mutually perpendicular diameters having a length of meters. X is the mid-point of OA. Y is a point on the circumference such that . Which of the following correctly gives the relation among the three alternate paths from X to Y?
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Important Questions on Taste of The Exams - Block IV
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ABCD is a parallelogram with . If the longer diagonal is of length and the area of the parallelogram ABCD is , then the perimeter of the parallelogram (in cm) is:
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A long ladder is placed against the wall with its base the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:
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A straight line through point P of a triangle PQR intersects the side QR at the point S and circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then which of the following is true?
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In a city, there is a circular park. There are four points of entry into the park, namely P, Q, R, and S. Three paths were constructed which connected the points PQ, RS, and PS. The length of path PQ is units, and the length of the path RS is units. Later, the municipal corporation extended the paths PQ and RS past Q and R respectively, and they meet at a point T on the main road outside the park. The path from Q to T measures units, and it was found that the angle PTS is . Find the area (in square units) enclosed by the paths PT, TS, and PS.
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Consider a square ABCD of side . It contains arcs BD and AC drawn with centers at A and D respectively. A circle is drawn such that it is tangent to side AB, and the arcs BD and AC. What is the radius of the circle?
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In a plane rectangular coordinate system, points L, M, N and O are represented by the coordinates , and respectively. Consider a variable point P in the same plane. The minimum value of is:
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Aspherical metal of radius is molten and made into smaller spheres of equal sizes. In this process the surface area of the metal is increased by:
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A city has a park shaped as a right angled triangle. The length of the longest side of this park is . The Mayor of the city wants to construct three paths from the corner point opposite to the longest side such that these three paths divide the longest side into four equal segments. Determine the sum of the squares of the lengths of the three paths.
