First slide
Definition of a circle
Question

The degree measure of the angle between 

x2+y22x2y+1=0 and line y=λx+1λ, is

Moderate
Solution

angle between a line and a circle is defined as 

the angle made by the portion of the line intercepted by the 

circle at any point on the circle. Here, the line passes through 

the centre of the circle i.e. it is a diameter. So, required angle is

a right angle.

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