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Standard X

Mathematics

Drawing Tangents to a Circle from a Point on the Circle

Given are the...

Question

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.

i, ii, iii, iv

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iii, i, ii, iv

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ii, iv, i ,iii

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iv, iii, ii, i

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Solution

The correct option is D
iv, iii, ii, i

The steps in the right order of construction are:

i) Join OP .

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

iv) Join PM and PN.

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Similar questions

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.

To construct a tangent from a point P to a circle (where O is the centre of the circle and P is the point from which tangents are drawn). Following are the steps of construction but they are not in order. Find the correct order of these steps.

(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 LO.

P

is outside circle with center

O

Here are the steps of construction arranged randomly to construct a pair of tangents from?

(a)

Taking midpoint of

O P

as center, we draw a circle of radius

\frac{O P}{2}

(b)

Join

O P

(c)

Join

P

to the points at which the drawn circle touches the circle with center

O

(d)

Bisects

O P

and get the midpoint.

Which is

3^{r d}

step in the correct order of the steps of construction?

To construct the tangents from a point to a circle (where O is the centre of the circle and P is the point from which tangents are drawn.), following are the steps of construction in the first list named as “Steps” and the reasons behind those construction in the next list named “Reasons”. Match them accordingly.

STEPS:
i)Join OP.
ii) Bisect the segment OP, at L.
iii) Draw a circle with centre as L and
radius LO.

iv) From P, join wherever this circle intersects the original circle.

REASONS:
a) Because angle in a semicircle is $90^{\circ}$ and radius is perpendicular to tangent.
b) We get the point(s) of contact, if they exist.
c) To check where the point P lies and hence determining if tangents exist or not.
d) We need to draw a circle with diameter as the distance between the centre of the circle and the point from where tangents should be drawn.

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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.

The correct option is D iv, iii, ii, i The steps in the right order of construction are: i) Join OP . ii) Bisect the segment OP, at L. iii) Draw a circle with centre as L and radius LO. Let it cut the given circle at points M and N. iv) Join PM and PN.

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.

The correct option is D
iv, iii, ii, i

The steps in the right order of construction are:

i) Join OP .

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

iv) Join PM and PN.