State True or False: Two concentric circles have only one common tangent.
WBBSE
Class X
Mathematics
Theorem Related to a Tangent To a Circle
01 Mark
2022
False
Explanation:
Concentric circles (same center, different radii) have no common tangents. Tangents to one circle cannot be tangent to the other at the same time.
Related Questions
More WBBSE Easy level questions
1/12
Q.
If two circles do not intersect or touch each other, then the maximum number of...
A.
(d) 4 Explanation: If two circles are apart externally, then they have...
Q.
A circle with the center ‘O’. A point P is 26 cm away from the...
A.
Let the radius of the circle be r. The line from the...
Q.
Find the value of angle in degree made by the tangent of a circle with...
A.
The tangent to a circle is always perpendicular to the radius at...
Q.
If two circles in a plane have three common tangents, then they will touch each...
A.
Externally Explanation: If two circles have three common tangents, it means they...
Q.
Find the number of direct common tangents of two circles which touch each other externally.
A.
Two circles touching externally have 2 direct common tangents. Explanation: Direct (external)...
Q.
If two circles touch each other internally, then the number of common tangents of the...
A.
(a) 1 Explanation When two circles touch each other internally, a single...
Q.
From an external point P of a circle with centre O, two tangents PS and...
A.
In triangle PST, since PS = PT, the base angles are equal....
Q.
If two tangents are drawn to a circle from a point outside it, then prove...
A.
Given: P is a point outside the circle with centre O. From...
Q.
Two circles touch each other externally at point C. A direct common tangent AB touches...
A.
Given X and Y are two circles touch each other externally at...
Q.
ABCD is a circumscribed quadrilateral of a circle with centre O. Show that AB +...
A.
Given: A quadrilateral ABCD is circumscribed about a circle with centre O....
Q.
Prove that the tangent to a circle at any point on it is perpendicular to...
A.
Given: AB is a tangent at the point P of a circle...
Q.
State True/False: “The equal chords of a circle are at equal distances from the centre...
A.
True Explanation: In a circle, chords that are equal in length are...