The diagonals of AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that
AP . CP = BP. DP
AP. BP = CP. DP
AP. CD = AB. CP
BP. AB = CD. CP
N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point B is
If O be the circumcentre of a Δ PQR and ∠QOR = 110°, ∠OPR = 25° then the measure of ∠PRQ is
50°
55°
60°
65°
A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is
60 m
65 m
70 m
72 m
A, B, C, D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°. Then, ∠BAC is
90°
100°
110°
120°
C.
110°
Now, in ΔCED,
In a triangle, if three altitudes are equal, then the triangle is
equilateral
right
isosceles
obtuse
The tops of two poles of height 24 m and 36 m are connected by wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is
8√3 m
8 m
6√3 m
6 m