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ICSE Guess > ICSE Papers > Important Questions > Class X > Maths > Maths By M. P. Keshari

ICSE Maths Class X Important Papers By M. P. Keshari

Maths - Construction (Solved)

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Question 1. Use ruler and compass only in this question.

(i) Draw a circle, with centre O and radius 4 cm.

(ii) Mark a point P such that OP = 7 cm. Construct the two tangents to the circle from P. Measure and record the length of one of the tangents.

Solution : Click Here

Question 2. Construct an angle PQR = 45º. Mark a point S on QR such that QS = 4.5 cm.Construct a circle to touch PQ at Q and also to pass through S.

Solution : Click Here


Question 3. Construct a Δ  ABC, in which AC = 5 cm, NC = 7 cm and AB = 6 cm.

(i) Mark D, the midpoint of AB.

(ii) Construct the circle which touches BC at C and passes through D.

 

Solution : Click Here


Question 4. Using ruler and compass only, construct a Δ ABC such that AB = 5 cm, LABC = 75º and the radius of the circum-circle of triangle ABC 3.5 cm. On the same figure, construct a circle touching AB at its middle point, and also touching the side AC.


Solution : Click Here


Question 5. Only ruler and compass may be used in this question,

(i) Construct Δ ABC, such that AB = AC = 7 cm, BC = 5 cm.

(ii) Draw AX, the perpendicular bisector of side BC.

(iii) Draw a circle with centre A and radius 3 cm cutting AX at Y.

(iv) Construct another circle to touch the circle with centre A externally at Y and passing through B and C.

Solution : Click Here


Question 6. Ruler and compass only may be used in this question. All construction lines and arcs must be clearly shown, and be of sufficient length and clarity to permit assessment.

(i) Construct Δ ABC, in which AB = 9 cm, BC = 10 cm and L ABC = 45º.

(ii) Draw a circle, with centre A and radius 2.5 cm. Let it meet AB at D.

(iii) Construct a circle to touch the circle with centre A externally at D and also to touch the line BC. 

Solution : Click Here


Question 7.  Using ruler and compass only, construct

(i) A triangle ABC in which AB = 9 cm, BC = 10 cm and L ABC = 45º.

(ii) construct a circle of radius 2 cm to touch the arms of L ACB in (i) above.


Solution : Click Here 

Questions for practice : -  


Question 1. Use a ruler and a pair of compasses to construct a Δ ABC in which BC = 4.2 cm, LABC = 60 º and AB = 5 cm. Construct a circle of radius 2 cm to touch both the arms of LABC of Δ ABC.

Question 2. Using a ruler, construct a triangle ABC with BC = 6.4 cm, CA = 5.8 cm and LABC = 60 º. Draw its in-circle. Measure and record the radius of the in-circle.

Prepared By Mr. M. P. Keshari [ For Further Enquiry 09434150289]

 

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