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Constructions

Short Answer Type

111. Draw a circle of radius 5 cm. Take a point P on it. Without using the centre of the circle construct a tangent at the point P.

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112. Draw a circle of radius 6 cm. Take a point A on it. Without using the centre of the circle construct a tangent at the point A.

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113. Draw a circle of radius 2.5 cm. Draw two tangents to it inclined at an angle of 60° to each other.

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114. Take a point P at a distance of 7 cm from the centre of a circle of radius 2.5 cm and from the point P, draw two tangents PA and PB to the circle. Measure the length of each tangent.

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115. Draw a circle of radius 2.7 cm and draw two tangents to this circle such that the angle between them is equal to (a) 45° (b) 30° (c) 60°.

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116. Draw a circle of radius 3 cm and draw two tangents to this circle so that the angle between the two tangents is 150°.

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117. Construct a circle of radius 4.5 cm. Draw two tangents to this circle such that the angle between the tangents is 60°.

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118. Draw two tangents to a circle of radius 4 cm from a point P at a distance of 6 cm from its centre.

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119. Draw two tangents to a circle of radius 4 cm from a point P at a distance of 6 cm from its centre.

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120.

Determine the point which divides a given line segment of 8 cm externally in the ratio : (i) 1:3, (ii) 3 : 4.

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