ABC is a isosceles triangle inscribed in a circle. If AB = AC = 12√5 cm and BC = 24 cm then the radius of circle is
10 cm
15 cm
12 cm
14 cm
ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?
BP = PC
BP > PC
BP < PC
BP ≥ PC
If D and E are the mid-points of AB and AC respectively of ΔABC, then the ratio of the areas of Δ ADE and ◻BCED is
1 : 2
1 : 4
3 : 1
1 : 3
O is the circumcentre of the isosceles △ABC. Given that AB = AC = 5 cm and BC = 6 cm. The radius of the circle is
3.015 cm
3.205 cm
3.025 cm
3.125 cm
B1 is a point on the side AC of ΔABC and B1B is joined. A line is drawn through A parallel to B1B meeting BC at A1 and another line is drawn through C parallel to B1B meeting AB produced at C1. Then
The value of the expression
(1 + sec 22° + cot 68°) (1 - cosec 22° + tan 68°) is
0
1
-1
-1
A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45° to 60°. After this the time required by the vehicle to reach the bottom of the hill is
12 minutes 20 seconds
13 minutes
13 minutes 40 seconds
14 minutes 24 seconds
C.
13 minutes 40 seconds