Length of Tangent
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A tangent is drawn at a point P on a circle. A line through the centre O of a circle of radius 7 cm cuts the tangent at Q such that PQ = 24 cm. Find OQ.
10 cm
25 cm
15 cm
20 cm
State 'T' for true and 'F' for false.
I. If one angle of a cyclic trapezium is four times the other, then the greater one measures 144∘.
II. The length of the direct common tangent to two circles with radii R and r, having distance between the centres d, is √d2−(R−r)2
(I) F (II)F
(I) T (II)F
(I) T (II)T
(I) F (II)T
A restaurant POQR is being constructed in the middle of a circular lake. The circle, which has its center at O is touching the mid-points of the boundary ABCD as shown in the figure. AB=CD and AD=BC. If BC=8 cm, then the area of AQOP is
14× Area of ABCD
12× Area of ABCD
18× Area of ABCD
None of these

Quadrilateral ABCD can be
- rectangle
- parallelogram
- rhombus
- square
- Equal
- Unequal
- None of these
- Depends upon the radius of the circle
The length of the tangent drawn to a circle with radius 7 cm from a point 25 cm away from the centre is =

- 20 cm
- 203cm
- 40 cm
- 403cm
There are two circles each with radius 5 cm. The length of tangent AB is 26 cm. Find the length of tangent CD.
16 cm
15 cm
21 cm
24 cm
If the length of the tangent drawn at the point (1, 3) on the curve y = 3x3 is a, then find the value of 9a2
In the above figure, length of tangent is length of PT
True
False