Let the equation of a circle be x^2+y^2=a^2. If h^2+k^2-a^2<0 then the line hx+ky=a^2 is the

JEE Advanced Mathematics question

Let the equation of a circle be . If then the line is the

(A)polar line of the point with respect to the circleCorrect
(B)real chord of contact of the tangents from to the circle
(C)equation of a tangent to the circle from the point
(D)none of these

Answer: (A)

Solution

is by definition the polar of for every point, inside or outside: (a) ✓. Since , is inside the circle, so no real tangent can be drawn from it: there is no real chord of contact (b) ✗ and no tangent

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Question ID VK-108976