Important Questions of Constructions Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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131.

Divide a line segment of length 10 cm in the ratio 2:5:
(i) Internally, (ii) Externally.

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132. Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.
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133. ABC be a right triangle in which AB = 3cm, BC = 4 cm and ∠B = 90°. BD is the perpendicular from B on AC. The circle through B, C, D are drawn. Construct the tangents from A to this circle.
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134. Draw a circle of radius 3cm. Take a point P outside the circle. Without using the centre of the circle, draw two tangents to the circle from point P.
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135. Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6cm.
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136. Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6cm.
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137. Draw a circle of radius of 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle.
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138. Construct a triangle similar to be given triangle. XYZ with its sides equal to 3/4th of the corresponding sides of ZYZ. Write the steps of construction.
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139. Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.
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140. Draw a triangle ABC. Construct another triangle AB‘C’ similar to the triangle ABC with each side equal to 4/5th of the corresponding side of triangle ABC. Write the steps of construction also.
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