Parametric Equation of Tangent
Trending Questions
Q. Intersection points of tangents and normal at the extremities of latus rectum of the parabola y2=4ax will form a square.
- True
False
Q. The portion of the tangent intercepted between the point of contact and the directrix of the parabola \( y^2 = 4ax\) subtends at the focus an angle of
- 30∘
- 45∘
- 60∘
- 90∘
Q. If y1, y2 are the ordinates of two points P and Q on the parabola and y3 is the ordinate of the point of intersection of tangents at P and Q, then
- y1, y2, y3 are in A.P
- y1, y3, y2 are in A.P
- y1, y2, y3 are in G.P
- y1, y3, y2 are in G.P
Q.
The point of intersection of the tengents to the parabola y2=4x at the points, where the parameter 't' has the value 1 and 2, is
(3, 8)
(1, 5)
(2, 3)
(4, 6)
Q. Tangent drawn at any point on y2=4ax meets the axis of parabola at T and tangent at vertex at S. If TASG is a rectangle, where A is the vertex, then locus of G is
- y2=ax
- y2=−ax
- y2=2ax
- y2=−2ax
Q.
Let a, r, s and t be non-zero real numbers. Let P(at2, 2at), Q, R(ar2, 2ar) and S(as2, 2as) be distinct points on the parabola y2=4ax. Suppose that PQ is the focal chord and lines QR and PK are parallel, where K is point (2a, 0).
If st=1, then the tangent at P and the normal at S to the parabola meet at a point whose ordinate is
(t2+1)22t3
a(t2+1)22t3
a(t2+1)2t3
a(t2+2)2t3