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

87.

If  and  then the value of  equals

• 1

• 
• 
• 

If  then the value of   is:

If 

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