CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Question 5
Draw a line segment AB of length 8 cm. Taking A as center, draw a circle of radius 4 cm and taking B as center, draw another circle of radius 3 cm. Construct tangents to each circle from the center of the other circle.


Solution

Steps of Construction:
Step I: A line segment AB of 8 cm is drawn.
Step II: With A as center and radius equal to 4 cm, a circle is drawn which cut the line at point O.
Step III: With B as a center and radius equal to 3 cm, a circle is drawn.


Step IV: With O as a center and OA as a radius, a circle is drawn which intersect the previous two circles at P, Q, and R, S.
Step V: AP, AQ, BR, and BS are joined.

Thus, AP, AQ, BR, and BS are the required tangents.
Justification:
BPA=90 (Angle in the semi-circle)
APPB
Therefore, BP is the radius of the circle then AP has to be a tangent of the circle. 
Similarly, AQ, BR, and BS are tangents of the circle.

Mathematics
NCERT Textbook
Standard X

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More


similar_icon
People also searched for
View More



footer-image