Question 4 State whether the following is true or false-A pair of tangents can be constructed to a circle inclined at an angle of 170- -Thinking process -If the angle between a pair of tangents is greater than 180- then the pair of tangent can never be constructed to a circle-

True If the angle between the pair of tangents is greater than 0 and nbsp;less than 180^∘ then we can construct a pair of tangents to a circle. Hence, we can ...

156

You visited us 156 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Construction of Tangent from a Point Outside Circle

Question 4 St...

Question

Question 4
State whether the following is true or false.
A pair of tangents can be constructed to a circle inclined at an angle of $170^{\circ}$ .
[Thinking process :
If the angle between a pair of tangents is greater than $180^{\circ}$ , then the pair of tangent can never be constructed to a circle.]

Open in App

Solution

True
If the angle between the pair of tangents is greater than 0 and less than $180^{\circ}$ then we can construct a pair of tangents to a circle.
Hence, we can draw a pair of tangents to a circle inclined at an angle of $170^{\circ}$ .

Suggest Corrections

Similar questions

A pair of tangents can be constructed to a circle inclined at an angle of $170^{\circ}$ .

Question 3
State whether the following is true or false.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
[Thinking process
Let r = radius of circle and d = distance of a point from the centre.
1. If r = d, then point lie on the circle i.e only one tangent is possible
2. If r < d, then point lie outside the circle. i.e a pair of tangent is possible.
3. If r>d, then point lie inside the circle i.e no tangent is possible.
]

Q. Question 6
Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is

60^{\circ}

. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.

Q. Question 6
Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is

60^{\circ}

. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.

Join BYJU'S Learning Program

Question 4 State whether the following is true or false. A pair of tangents can be constructed to a circle inclined at an angle of 170∘. [Thinking process : If the angle between a pair of tangents is greater than 180∘, then the pair of tangent can never be constructed to a circle.]

True If the angle between the pair of tangents is greater than 0 and less than 180∘ then we can construct a pair of tangents to a circle. Hence, we can draw a pair of tangents to a circle inclined at an angle of 170∘.

True
If the angle between the pair of tangents is greater than 0 and less than $180^{\circ}$ then we can construct a pair of tangents to a circle.
Hence, we can draw a pair of tangents to a circle inclined at an angle of $170^{\circ}$ .