Home
Class 12
MATHS
Let S be the circle in the x y -plane de...

Let `S` be the circle in the `x y` -plane defined by the equation `x^2+y^2=4.` (For Ques. No 15 and 16) 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 `N` . Then, the mid-point of the line segment `M N` must lie on the curve `(x+y)^2=3x y` (b) `x^(2//3)+y^(2//3)=2^(4//3)` (c) `x^2+y^2=2x y` (d) `x^2+y^2=x^2y^2`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let P be any point on the curve x^(2//3)+y^(2//3)=a^(2//3). Then the length of the segment of the tangent between the coordinate axes in of length

Find the coordinates of the point on the curve y^2=3-4x where tangent is parallel to the line 2x+y-2=0 .

Find the coordinates of the point P on the line x+y=-13, nearest to the circle x^(2)+y^(2)+4x+6y-5=0

The tangents to the curve y=(x-2)^(2)-1 at its points of intersection with the line x-y=3, intersect at the point:

Let P be the point on the parabola y^(2) = 4x which is at the shortest distance from the centre S of the circle x^(2) + y^(2) - 4x - 16y + 64 = 0 . Let Q be the point on the circle dividing the lie segment SP internally. Then

Let P be the point on parabola y^(2)=4x which is at the shortest distance from the center S of the circle x^(2)+y^(2)-4x-16y+64=0 let Q be the point on the circle dividing the line segment SP internally.Then

At what points on the curve y=2x^2-x+1 is the tangent parallel to the line y=3x+4 ?

Find the coordinates of eth point of intersection of the lies 2x-y+3=0 and x+2y-4=0