A circle of radius r has a centre O. What is first step to construct a tangent from a generic point P which is at a distance r from O?

Join OP.

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With P as centre and radius $>$ r, draw a circle and then join OP.

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With P as centre and radius $<$ r, draw a circle and then join OP.

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With P as centre and radius = r, draw a circle and then join OP.

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Solution

The correct option is A
Join OP.

P is a point on the circle.
At P, only one tangent can be drawn and it is perpendicular to the line joining the centre O and the point of contact P.

So our first step would be to join OP.

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Similar questions

Q. A circle of radius r has a centre O. What is first step to construct a tangent from a generic point P which is at a distance r from O?

Q. Find the correct order of steps to construct a tangent from an external point P to a circle (where O is the centre of the circle and P is the point from which tangents are drawn).

(i) Bisect the segment OP, at L.
(ii) Join OP.
(iii) From P, join wherever this circle intersects the original circle.
(iv) Draw a circle with centre as L and radius as LO.

Given are the steps to construct tangents from an external point P to a circle with centre O. Order the steps correctly.
STEPS:
i) Join PM and PN.

ii) Draw a circle with centre as L and radius LO. Let it cut the given circle at points M and N.

iii) Bisect the segment OP, at L.

iv) Join OP.

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A circle of radius r has a centre O. What is first step to construct a tangent from a generic point P which is at a distance r from O?

The correct option is A Join OP. P is a point on the circle. At P, only one tangent can be drawn and it is perpendicular to the line joining the centre O and the point of contact P. So our first step would be to join OP.

The correct option is A
Join OP.

P is a point on the circle.
At P, only one tangent can be drawn and it is perpendicular to the line joining the centre O and the point of contact P.

So our first step would be to join OP.