Practice sheet Class Xth (Chapter11 Construction )
One question of 2 Marks
1.
Draw a circle of radius 4.5 cm. Take a point P on
it. Construct a tangent at the point P without using the centre of the circle.
Write the steps of construction.
1. 4.5 sm ArD ivAws
vwly ie`k c`kr dI rcnw kro [ ies c`kr qy siQq ie`k ibMdU qy ibnW c`kr dw kyNdr
pRXog kIqy sprS ryKw iK`co
2.
Draw a circle of radius 3.5 cm. From a point P, 6
cm apart from the centre of a circle, draw two tangents to the circle.
2. 3.5 sm ArD ivAws
vwly ie`k c`kr dI rcnw kro [ kyNdr qoN 6 sm dur ie`k ibMdU P qoN do sprS ryKwvW iK`co [
3.
Draw a circle of radius 3 cm. From a point P,
outside the circle draw two tangents to the circle without using the centre of
the circle.
3. sm ArD ivAws
vwly ie`k c`kr dI rcnw kro [ kyNdr qoN 6 sm dur ie`k ibMdU P qoN kyNdr dI v`rqoN kIqy ibnW d`kr qy sprS ryKwvW iK`co [
4.
Construct the circumcircle of an equilateral triangle
with side 6 cm. Write the steps of construction.
4. 6 sm vwlI smBUjI
iqRBuj qy pirc`kr dI rcnw kro [
5.
Construct a triangle ABC, in which AB = 6 cm, AC =
5.5 cm and ∠A = 60°. Draw the
circumcircle of the Δ ABC .
5 iqRBuj ABC qy pirc`kr dI rcnw kro ijsdI BujwvW
AB
= 6 cm AC = 5.5 cm Aqy ∠A = 60°.hovy [
6.
Construct a Δ ABC ,
in which BC = 6 cm, ∠B = 55° and ∠C = 70°. Draw a circle circumscribing the
triangle.
6. iqRBuj ABC qy pirc`kr dI rcnw kro ijsdI Bujw
BC
= 6 cm ∠B = 55° Aqy ∠C = 70°.hovy [
7.
Construct a Δ ABC in
which AB = 6 cm, ∠B = 60° and AC = 5.5
cm. Draw a circle touching the sides of the triangle.
7. iqRBuj ABC rcnw kro ijsdI Bujw AB = 6 cm, ∠B = 60° Aqy AC = 5.5 cm hovy, ies iqRBuj
qy ie`k AMdrUnI c`kr dI rcnw kro [
8.
Draw a right angled triangle ABC with AB = 4.5 cm,
AC = 7.5 cm and ∠B = 90°. Construct
its incircle.
8. ie`k smkoxI iqRBuj
ABC ijsdI Bujw AB = 4.5 cm, AC = 7.5 cm and ∠B = 90° dw hovy qy AMdrUnI
c`kr dI rcnw kro [
9.
Construct Δ ABC in
which BC = 6 cm, ∠A = 60° and the
altitude through A is 4.5 cm. Write the steps of construction.
9. ie`k iqRBuj ABC ijsdI rcnw kro ijs dI Bujw BC = 6 cm, ∠A = 60° dw hovy Aqy A ibMdU qoN lMb 4.5 sm dw
hovy [
10.
Construct a triangle ABC, in which BC = 6.5 cm, ∠A = 60° and median AD through A is 5 cm long.
Write the steps of construction. How many such triangles can be constructed ?
10. ie`k iqRBuj ABC ijsdI rcnw kro ijs dI Bujw BC = 6.5 cm, ∠A = 70° dw hovy Aqy m`iDkw
AD ibMdU A qoN 5 sm lMbI hovy [
11.
Construct a triangle similar to a given Δ ABC , such that each of its sides is 2/3rd of the
corresponding side of the Δ ABC . It is given
that AB = 4 cm, BC = 5 cm and AC = 6 cm. Also, write the steps of construction.
11. ie`k iqRBuj ABC dI rcnw kro ijs dIAW BujwvW AB = 4 cm, BC = 5 cm and AC = 6 cm. hox [Δ ABC dy smrUp ie`k dusry
iqRBuj dI rcnw kro ijs dI ie`k Bujw Δ ABCdI sMgq Bujw dw 2/3 vW Bwg hovy
