Advertisements
Advertisements
Question
In Fig. 1, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is:
Options
(A) 3 cm
(B) 4 cm
(C) 5 cm
(D) 6 cm
Solution
Since `APbotPB,CA botAP,CBbotBP `
and AC = CB = radius of the circle, therefore APBC is a square having side equal to 4 cm.
Therefore, length of each tangent is 4 cm.
APPEARS IN
RELATED QUESTIONS
In the given figure, PQ is a chord of length 8cm of a circle of radius 5cm. The tangents at P and Q intersect at a point T. Find the length TP
If ΔABC is isosceles with AB = AC and C (0, 2) is the in circle of the ΔABC touching BC at L, prove that L, bisects BC.
In the below fig. O is the centre of the circle. If ∠APB = 50°, find ∠AOB and ∠OAB.
In the given figure, PA and PB are the tangent segemtns to a circle with centre O. Show that he points A, O, B and P are concyclic.
Find the diameter of the circle if the length of a chord is 3.2 cm and itd distance from the centre is 1.2 cm.
Draw a line AB = 8.4 cm. Now draw a circle with AB as diameter. Mark a point C on the circumference of the circle. Measure angle ACB.
The center of a circle is at point O and its radius is 8 cm. State the position of a point P (point P may lie inside the circle, on the circumference of the circle, or outside the circle), when:
(a) OP = 10.6 cm
(b) OP = 6.8 cm
(c) OP = 8 cm
The ratio between the circumference and diameter of any circle is _______
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
| radius (r) | diameter (d) | Circumference (C) |
| 15 cm |
Find the radius of the circle
Diameter = 24 cm
