Determine the length of a tangent to a circle with radius 5 cm, draw from a point at a distance to 13 cm, from the centre of the circle.
13 cm
12 cm
14 cm
15 cm
If two concentric circles have radii 5 cm and 3 cm then the length of the chord of the larger circle which touches the other circle is
8 cm
9 cm
10 cm
25 : 4
4 : 25
4 : 9
9 : 4
In Δ ABC and Δ DEF, ∠ B = ∠ E, ∠ F = ∠ C and AB = 2 DE, then two triangles are
Equal
Equivalent
Similar
None of these
A tangent PT at a point T of a circle of radius 8 cm meets a line through the centre O at a point P so that OP = 17 cm. Then, the length of PT is
8.5 cm
If P is a point outside the circle, then the number of tangents from P to the circle is
0
1
2
3
The length of the diagonal of a rectangle is 10 cm. The area of its circumscribed circle is
10 π cm2
25 π cm2
100 π cm2
50 π cm2
The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. If the altitude of the first triangle is 6.3 cm then the corresponding altitude of the other is
4.9 cm
9.4 cm
49 cm
9.2 cm
Two circles touch externally at a point P. From a point T on a common tangent PT, tangent segments TA and TB are drawn to the two circles. Then TA =
PB
TB
OB
2 TB
