Paragraph: Let S be the circle in the x y – plane defined by the equation x 2 + y 2 = 4 . Question : Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P in

Question

Paragraph: Let S be the circle in the x y – plane defined by the equation x 2 + y 2 = 4 . Question : Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and M N Then, the mid-point of the line segment must lie on the curve

TestHub · Accepted Answer

Tangent at P 2 cos ⁡ θ , 2 sin ⁡ θ i s x cos ⁡ θ + y sin ⁡ θ = 2 M 2 sec ⁡ θ , 0 a n d N 0,2 cosce ⁡ θ Let midpoint be (h, k) h = sec ⁡ θ , k = cosce ⁡ θ 1 h 2 + 1 k 2 = 1 1 x 2 + 1 y 2 = 1

Mathematics - Circle Question with Solution | TestHub

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