Equation of Tangent in Parametric Form
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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 MN must lie on the curve
- (x+y)2=3xy
- x2/3+y2/3=24/3
- x2+y2=2xy
- x2+y2=x2y2
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 MN must lie on the curve
- (x+y)2=3xy
- x2/3+y2/3=24/3
- x2+y2=2xy
- x2+y2=x2y2
- a pair of straight lines
- a straight line
- a circle
- None of these
- θ=nπ, n∈Z
- θ=(2n+1)π, n∈Z
- θ=2nπ, n∈Z
- None of these
Let RS be the diameter of the circle x2+y2=1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then, the locus of E passes through the point(s)
(13, 1√3)
(14, 12)
(13, −1√3)
(14, −12)
Let RS be the diameter of the circle x2+y2=1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then, the locus of E passes through the point(s)
(13, 1√3)
(14, 12)
(13, −1√3)
(14, −12)
Let RS be the diameter of the circle x2+y2=1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then, the locus of E passes through the point(s)
(13, 1√3)
(14, 12)
(13, −1√3)
(14, −12)
Let RS be the diameter of the circle x2+y2=1, where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then, the locus of E passes through the point(s)
(13, 1√3)
(14, 12)
(13, −1√3)
(14, −12)
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 MN must lie on the curve
- (x+y)2=3xy
- x2/3+y2/3=24/3
- x2+y2=2xy
- x2+y2=x2y2
- θ=nπ, n∈Z
- θ=(2n+1)π, n∈Z
- θ=2nπ, n∈Z
- None of these