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4. Outside Delhi - 2013
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Q15 of 49 Page 1

Prove that the points A (2, 3), B (-2, 2), C (-1, -2) and D (3, -1) are the vertices of a square ABCD.

Distance between two points is given by,

=


⸫ AB =


⸫ BC =


⸫ CD =


⸫ DA =


⸫ AB = BC = CD = DA, all sides are equal


Hence, it’s a square.


More from this chapter

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13

Draw a pair of tangents to a circle of radius 4 cm, which are inclined to each other at an angle of 60°.

14

As observed from the top of a 60-m high light-house from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the light-house, find the distance between the two ships. [Use √3 = 1.732]

16

Find the ratio in which point C (-1, y) lying on the line segment joining points A (-3, 10) and B (6, -8) divides it. Also find the value of y.

17

In Fig. 4, a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 21 cm, find the area of the shaded region. [Use π = 22/7]

Questions · 49
4. Outside Delhi - 2013
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