Saved Bookmarks
| 1. |
Tangent to the parabola `y=x^(2)+ax+1` at the point of intersection of the y-axis also touches the circle `x^(2)+y^(2)=r^(2)`. Also, no point of the parabola is below the x-axis. The minimum area bounded by the tangent and the coordinate axes isA. 1B. `1//3`C. `1//2`D. `1//4` |
|
Answer» Correct Answer - D (4) The equation of tangent is y=ax+1. The intercepts are `-1//a` and 1. Therefore, the area of the triangle bounded by tangent and the axes is `(1)/(2)|-(1)/(a)*|=(1)/(2|a|)` It is minimum when a=2. Therefore, Minimum area `=(1)/(4)` |
|