The tangent to a circle and the radius p...

The tangent to a circle and the radius passing through the point of contact are perpendicular to each other.

Text Solution

Verified by Experts

The correct Answer is:

True

Topper's Solved these Questions

THEOREMS RELATED TO TANGENT IN A CIRCLE
CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.1|20 Videos
THEOREMS RELATED TO ANGLES IN A CIRCLE
CALCUTTA BOOK HOUSE|Exercise EXERCISE 2.3 (Long Answer Type Questions)|14 Videos
TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES
CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos

Similar Questions

Explore conceptually related problems

Prove that the tangent and the radius through the point of contact of a circle are perpendicular to each other.

Show that , The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Prove that the tangent to the circle at any point on it is perpendicular to the radius passes through the point of contact.

AB and AC are two tangents to the circle with centre at O. Prove that AO bisects the chord passing through point of contact at right angle.

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

The radius of the tangent circle that can be drawn to pass through the point (0, 7) and (0, 6) and touching the x-axis is (a) 5/2 (b) 13/2 (c) 7/2 (d) 19/2

Radius of gyration of a ring of radius R about an axis passing through its centre and perpendicular to its plane is

Choose the correct answer and give justification for each. (i) The angle between a tangent to a circle and the radius at the point of contact is

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis is__________

Each of the two equal circles passes through the centre of the other and the two circles intersect each other at the points. A and B.If a straight ine through the point A intersects the two circles at points C and D prove that Delta BCD is an equilateral triangle.

CALCUTTA BOOK HOUSE-THEOREMS RELATED TO TANGENT IN A CIRCLE -EXERCISE 4.2

The centre of a circle with radius of 6 cm is O. The length of the tan...
Text Solution
|
If the radius of a circle be zero, then the circle is called a point ...
Text Solution
|
Only three tangents can be drawn from a external point of a circle.
Text Solution
|
The tangent to a circle and the radius passing through the point of co...
Text Solution
|
The number of direct common tangents to two intersecting circles is ""
Text Solution
|
The straight line PAB intersects the circle with centre O at the point...
Text Solution
|
Two circles touch each other internally. The radius of the larger circ...
Text Solution
|
Two circles touch each other externally. The distance between two cent...
Text Solution
|
The radius of a circle with centre O is 5 cm. The length of the tangen...
Text Solution
|
AB is a diameter of the circle with centre O. The tangent, drawn at a ...
Text Solution
|
Prove that form any external point two tangents can be drawn to circle...
Text Solution
|
Two tangents are drawn from an external point A of the circle with cen...
Text Solution
|
Prove that the internal bisector of the angle between two tangents dra...
Text Solution
|
Prove that the internal angle between two tangents drawn from an exter...
Text Solution
|
The incircle of Delta ABC touches the sides AB, BC and CA of the trian...
Text Solution
|
If the quadrilateral ABCD circumscribed about the circle , then prove ...
Text Solution
|
Puja has drawn a circle wit centre of O of which AB is a diameter. Two...
Text Solution
|
Laxmi has drawn two circles which intersect each other at O externally...
Text Solution
|
Length of radius of two circles are 5cm and 3cm . If two circles touch...
Text Solution
|
The radii of two circles are R and r unit (R gtr). If the distance bet...
Text Solution
|