11

Constructions

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

Important Questions

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

View Answer

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

View Answer
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

View Answer
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

View Answer
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

View Answer
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

View Answer

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

View Answer
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

View Answer
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

View Answer
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

View Answer
Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65
Enroll Now For FREE