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Your question is in the attachment.
This question consists 10 marks so please answer according to 10 marks question.
Class - 10th
Chapter - Constructions .
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Answers
FIRTS OF ALL, WE NEED TO KNOW
WHAT IS TANGENT - THE LINE SEGMENT THAT INTERSECT THE CIRCLE ONLY AT one point .
The LINE "OP" INTERSECT THE CIRCLE AT ONLY POINT AT "T"
MARK THIS QUESTION AS BraINLESt.
★QuestioN :
✳ Draw a circle with the help of a bangle. Take a point P outside the circle. Construct the pair of tangents from this point P to the circle.
★GiveN :
- The attachment.
★To FiNd :
- Draw a circle.
★ANswer :
See the attachment.
★SolutioN :
Step 1: Draw a circle by tracing the surface of a bangle.
Step 2: Take a point P outside the circle. Draw secant P−R−Q
Step 3: Place the compass on P and mark two arcs on opposite side of PQ. Now, place the compass on Q and draw two arcs intersecting the arcs drawn from P.
Step 4: Join the intersection points of the arcs to obtain the perpendicular bisector of PQ. Mark the mid point of PQ as M.
Step 5: Place the compass on M and taking PM as radius draw a semicircle passing through P and Q.
Step 6: From point R, draw a perpendicular to PQ and let it intersect the semicircle drawn in step 5 at C.
Step 7: Place the compass at P and with PC as radius, mark two arcs on the original circle and mark them as A and B.
Step 8: Join P−A and P−B.
PA and PB are the required tangents.
