Question

7. Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair
of tangents from this point to the circle.​

Answer 1

Answer:

. To construct: A circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

Steps of Construction:

(a) Draw a circle with the help of a bangle.

(b) Take two non-parallel chords AB and CD of this circle.

(c) Draw the perpendicular bisectors of AB and CD. Let these intersect at O. Then O is the centre of the circle draw.

(d) Take a point P outside the circle.

(e) Join PO and bisect it. Let M be the mid-point of PO.

(f) Taking M as centre and MO as radius, draw a circle. Let it intersects the given circle at the points Q and R.

(g) Join PQ and PR.

Then PQ and PR are the required two tangents.

Justification: Join OQ and OR.

Then, PQO is an angle in the semicircle.

PQO =

PQ OQ

Since OQ is a radius of the given circle, PQ has to be a tangent to the circle. Similarly, PR is also a tangent to the circle.

Step-by-step explanation:

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