Maths-
General
Easy

Question

# The two points A and B in a plane are such that for all points P lies on circle satisfied  , then k will not be equal to

## The correct answer is: 1

### The locus is the collection of all points that satisfy the requirements and create geometrical shapes like lines, line segments, circles, curves, etc. Only curved shapes are defined for the locus. Both regular and irregular shapes are possible.The circle's equation with its centre at (h, k) and radius 'a' is (x-h)2+(y-k)2 = a2 which is called the standard form for the equation of a circle.Now we have given the two points A and B in a plane are such that for all points P lies on circle satisfied .Consider the circle as: x2+y2=1.Now lets assume the points to be A(1,0), B(0,1), P(cosθ, sinθ).Now we get:Here we have given the two points A and B in a plane are such that for all points P lies on circle satisfied, so first we will get the equation of circle. Then we will find value of k with assumptions of trigonometric functions and then will find the final answer.

So here we have given the two points A and B in a plane are such that for all points P lies on circle satisfied . We can also use equation of circle to find the answer. So here the correct option is none of these.