# Constructions

10th Class - CBSE - Mathematics - 239 Questions - 0 Concepts

11

10th Class - CBSE - Mathematics - 239 Questions - 0 Concepts

Q1
Subjective
Hard

If the sides of a parallelogram touch a circle. Prove that the parallelogram is a rhombus.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q2
Subjective
Hard

Construct a $$\triangle ABC$$ in which $$AB =5\ cm$$. $$\angle B = 60^{\circ}$$ altitude $$CD = 3\ cm$$. Construct a $$\triangle AQR$$ similar to $$\triangle ABC$$ such that side of $$\triangle AQR$$ is $$1.5$$ times that of the corresponding sides of $$\triangle ACB$$.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q3
Subjective
Hard

Draw a circle of radius 6 cm and construct tangents to it from an external point 10 cm away from the centre. Measure and verify the length of the tangents.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q4
Subjective
Hard

Construct a pair of tangents to a cricle of radius 3.5 cm from a point 3.5 cm away from the circle.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q5
Subjective
Hard

A pair of perpendicular tangents are drawn to a circle from an external point. Prove that length of each tangent is equal to the radius of the circle.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q6
Subjective
Hard

In the figure, if AB = AC prove that BQ = QC.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q7
Subjective
Hard

Draw a right triangle which the sides (other than hypotenuse) are of lengths $$4\ cm$$ and $$3\ cm$$. Then construct another triangle whose sides are $$\cfrac{5}{3}$$ times the corresponding sides of the given triangle.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q8
Subjective
Hard

Draw a $$\triangle ABC$$ with side $$BC=7\ cm$$, $$\angle B={45}^{\circ}, \angle A={105}^{\circ}$$. Then, construct a triangle whose sides are $$\cfrac{4}{3}$$ times the corresponding sides of $$\triangle ABC$$.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q9
Subjective
Hard

In the figure PQ, PR and BC are the tangents to the circle. BC touches the circle at X. If PQ = 7 cm, find the perimeter of $$\triangle PBC$$.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Q10
Subjective
Hard

Construct tangents to a circle of radius $$4\ cm$$ at $$Q$$ and $$R$$, from a point $$P$$ on the concentric circle of radius $$6\ cm $$.

**Asked in: **Mathematics - Constructions

1 Verified Answer | Published on 07th 09, 2020

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Questions
122475

Subjects
10

Chapters
93

Enrolled Students
65