English

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. - Mathematics

Advertisements
Advertisements

Question

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.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Since, the radius of the circle is 3.5 cm

i.e., r = 3.5 cm and a point P situated at a distance of 3 cm from the centre

i.e., d = 3 cm

We see that,

r > d

i.e., a point P lies inside the circle.

So, no tangent can be drawn to a circle from a point lying inside it.

shaalaa.com
  Is there an error in this question or solution?
Chapter 10: Construction - Exercise 10.2 [Page 115]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 10
Chapter 10 Construction
Exercise 10.2 | Q 3 | Page 115

RELATED QUESTIONS

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.


Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths. Give the justification of the construction.


Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q. Give the justification of the construction.


Draw a line segment AB of length 8 cm. Taking A as centre , draw a circle of radius 4 cm and taking B as centre , draw another circle of radius 3 cm. Construct tangents to each circle form the centre of the other circle.


Draw a circle with centre O and radius 2.5 cm. Take a point P at a distance of 6 cm from the centre. Using ruler and compasses only construct the tangents to the circle from the point P.


Draw two lines AB, AC so that ∠ BAC = 40°:
(i) Construct the locus of the center of a circle that touches AB and has a radius of 3.5 cm.
(ii) Construct a circle of radius 35 cm, that touches both AB and AC, and whose center lies within the ∠ BAC.


A pair of tangents can be constructed to a circle inclined at an angle of 170°.


Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.


Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is 60º. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.


Draw a circle of radius 2.5 cm. Construct a pair of tangents from a point Pat a distance of 6 cm from the centre of the circle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×