Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KVPY2014MathematicsCircle

Let C be the circle x²+y²=1 in the x y- plane. For each t 0 , let L_ t be the line passing through (0,1) and (t, 0) . Note that L_ t intersects C in two points, one of which is (0,1) . Let Q_ t be the other point. As t varies between 1 and 1+ 2 , the collection of points Q_ t sweeps out an arc on C . The angle subtended by this are at (0,0) is :

Options

  1. A8
  2. B4
  3. C3
  4. D3 8

Correct answer

B. 4

Step-by-step solution

Open this question in the Quantrex Academy app for the full interactive solution, figures and similar PYQs.

Practice Circle on Quantrex Academy →

More from Circle

A circle touches both the coordinate axes and the straight line L 4 x +3 y -6=0 in the first quadrant. If this circle lies below the line L =0 , then the equation of that circle is 2025If the smallest circle through the points of intersection of x^2+y^2=a^2 and x +y =p, 0 < p < a is x^2+y^2-a^2+ (x +y -p)=0 then = 2025If the lines 3 x-4 y+4=0 and 6 x-8 y-7=0 are the tangents to the same circle, then the area of that circle (in sq.units) is 2025Circles are drawn through the point (2,0) to cut intercepts of length 5 units on the X -axis. If their centre lie in the first quadrant, then their equation is 2025The circles x^2+y^2-2 x-4 y-4=0 and x^2+y^2+2 x+4 y-11=0 2025If the line 4 x-3 y+7=0 touches the circle x^2+y^2-6 x+4 y-12=0 at ( , ) , then +2 = 2025The slope of the common tangent drawn to the circles x^2+y^2-4 x+12 y-216=0 and x^2+y^2+6 x-12 y+36=0 is 2025If r₁ and r₂ are radii of two circles touching all the four circles (x r)^2+(y r)^2=r^2 , then r₁+r₂ r = 2025 Full Circle list All KVPY PYQs