Question

27. A girl of height 90 c.m is walking away from the base of a lamp-post at a speed of 1.2m/s.
If the lamp is 3.6m above the ground, find the length of her shadow after 4 seconds.
28. Prove that “The tangent at any point of a circle is perpendicular to the radius through the
point of contact
OR
Prove that “The length of tangents drawn from an external points to a circle are equal'
29. Draw a circle of radius 6c.m. From a point 10c.m away from its centre, constructs the pair
of tangents to the circle and measure their lengths.
30. Draw a triangle ABC with side BC=6c.m, AB=5c.m and ZABC=60°. Then construct a
triangle whose sides are of the corresponding sides of the triangle ABC
31. Find the value of k, if the points A(8,1) B(k, -4) and C(2,-5) are collinear.
32. Find the area of a rhombus if its vertices are (3,0) (4,5) (-1,4) and (-2,-1) taken in order.
OR
Find the coordinates of the points of trisection of the line segment joining the points
A(2,-2) and B(-7,4).​

Answer 1

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Answer 2

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