[" Tangents "PA" and "PB" are drawn to the circle "(x-4)^(2)+(y-5)^(2)],[=4" from the point "P" on the curve "y=sin x," where "A" and "B" lie "],[" on the circle.Consider the function "y=f(x)" represented by the "],[" locus of the center of the circumcircle of triangle "PAB," then "],[" answer the following questions."]

Linked Comprehension Type Based upon each paragraph, three multiple choice questions have to be answered. Each question has four choices: a, b, c, and d, out of which only one is correct For Problems 1-3 center is at Each side of a square has length 4 units and its (3, 4). If one of the diagonals is parallel to the line y x, then answer the following questions 1. Which of the following is not the vertex of the square? a. (1, 6) b. (5, 2) c. (1, 2) d. (4, 6) 2. The radius of the circle inscribed in the triangle formed by any three vertices is a. 2020V2 1) 2012 1) d. none of these 3. The circle inscribed in the triangle forme radius of the by any two vertices of the square and the center is b. 202 1) a. 2012 1) d. none of these v2012 1) For Problems 4-6 Tangents PA and PB are drawn to the circle (x 4) 4 from the point P on the curve y sin x, where A and B on the circle. Consider the function y f(r) represented by locus of the center of the circumcircle of triangle PAB. T answer the following questions

Tangents PA and PB are drawn to the circle (x+3)^(2)+(y-4)^(2)=1 from a variable point P on y=sin x. Find the locus of the centre of the circle circumscribing triangle PAB.

Tangents PA and PB are drawn to the circle x^(2)+y^(2)=4, then locus of the point P if PAB is an equilateral triangle,is equal to

Tangents PA and PB are drawn to x^(2) + y^(2) = 4 from the point P(3, 0) . Area of triangle PAB is equal to:-

Tangents PA and PB are drawn to x^(2) + y^(2) = 4 from the point P(3, 0) . Area of triangle PAB is equal to:-

Tangents PA and PB are drawn to the circle x^2+y^2=4 ,then locus of the point P if PAB is an equilateral triangle ,is equal to

Tangents PA and PB are drawn to the circle x^(2)+y^(2)=8 from any arbitrary point P on the line x+y=4. The locus of mid-point of chord of contact AB is

Tangents PA and PB are drawn to the ellipse (x^(2))/(16)+(y^(2))/(9)=1 from the point P(0,5). Area of triangle PAB is equal to

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is