If tan 3 θ, tan 7 θ = 1, then the value of tan(θ+36⁰) is

Radius of the incircle of an equilateral ΔABC of sides 2√3 units is x cm. The value of x is

The circum-centre of a triangle ABC is O. If ∠BAC = 85o, ∠BCA = 75o, then ∠OAC is of

If a2 + 13b2 + c2 - 4ab - 6bc = 0, then a:b:c is

If x² - xy + y² =2 and x⁴ + x²y² + y⁴ = 6, then the value of x² + xy + y² is:

The average of 20 numbers is calculated as 35. It is discovered later on that while calculating the average, one number, namely 85, was read as 45. The correct average is