ML Aggarwal Solutions Class 10 Mathematics Solutions for Constructions Exercise 16.1 in Chapter 16 - Constructions

Question 2 Constructions Exercise 16.1

Use a ruler and compass only in this question.

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.



A circle's tangent is a single-pointed line that intersects the circle. The "point of tangency" is the location where the circle and the tangent cross. The radius of the circle, with which it crosses, is perpendicular to the tangent.

Steps to construct:

Step 1: Draw a circle with center O and radius 4cm and mark that point as A.

Step 2: Take a point P such that OP = 7cm.

Step 3: Bisect OB at M.

Step 4: With center M and diameter OP, draw another circle intersecting the given circle at A and B.

Step 5: Join PA and PB. Hence PA and PB are pair of tangents to the circle.

Step 6: On measuring PA, it is equal to 5.5cm.

M L Aggarwal - Understanding ICSE Mathematics - Class 10 chapter Constructions Question 2 Solution image

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