InterviewSolution
Saved Bookmarks
| 1. |
A variable line L intersects the parabola y=x^(2) at points P and Q whose x- coordinate are alpha and beta respectively with alpha lt beta the area of the figure enclosed by the segment PQ and the parabola is always equal to 4/3. The variable segment PQ has its middle point as M Which of the following is/are correct? |
|
Answer» <P>equations of the pair of TANGENTS, drawn to the curve, represented by locus of `M` from origin are `y=2x` and `y=-2x` Equation of `PQ, y-alpha^(2)=(alpha+beta)(x-alpha)` `y=(alpha+beta)x-alpha beta` Required area `int_(alpha)^(beta)((alpha+beta)x-alpha beta-x^(2))dx` `IMPLIES beta-alpha=2` Pair of tangents from origin are `y=2x` and `y=-2x` Area `int_(0)^(1)((x^(2)+)-2x)dx=2/3`
|
|