Length of Tangent
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.
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
- 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
- 40 cm
There are two circles each with radius 5 cm. The length of tangent AB is 26 cm. Find the length of tangent CD.
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