Advertisements
Advertisements
प्रश्न
The length of tangent from an external point P on a circle with centre O is always less than OP.
पर्याय
True
False
उत्तर
This statement is True.
Explanation:
PT is a tangent drawn from external point P.
Join OT.
∵ OT ⊥ PT
So, OPT is a right-angled triangle formed.
In right-angled triangle, hypotenuse is always greater than any two of the two sides of the triangle.
∴ OP > PT
or PT < OP
APPEARS IN
संबंधित प्रश्न
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
If tangents PA and PB from a point P to a circle with centre O are inclined to each other an angle of 80°, then ∠POA is equal to ______.
Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
PQ is a tangent drawn from an external point P to a circle with centre O, QOR is the diameter of the circle. If ∠POR = 120°, what is the measure of ∠OPQ?
In Figure 1, a quadrilateral ABCD is drawn to circumscribe a circle such that its sides AB, BC, CD and AD touch the circle at P, Q, R and S respectively. If AB = x cm, BC = 7 cm, CR = 3 cm and AS = 5 cm, find x.
(A) 10
(B) 9
(C) 8
(D) 7
In the given figure, AD is a diameter. O is the centre of the circle. AD is parallel to BC and ∠CBD = 32°.
Find: ∠BED
In Fig. 4, a circle is inscribed in a ΔABC having sides BC = 8 cm, AB = 10 cm and AC = 12 cm. Find the lengths BL, CM and AN.
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q such that OQ = 13 cm. Length PQ is ______
Draw two concentric circles of radii 2 cm and 5 cm. From a point P on outer circle, construct a pair of tangents to the inner circle.
Two concentric circles with centre O are of radii 3 cm and 5 cm. Find the length of chord AB of the larger circle which touches the smaller circle at P.