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Chord Joining t1 & t2 - Parabola Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on Chord Joining t1 & t2 - Parabola Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the equation of the chord joining two points t1 and t2 on a parabola? |  |
Ans. The equation of the chord joining two points t1(x1, y1) and t2(x2, y2) on a parabola y^2 = 4ax is given by y = mx + c, where m = (y2 - y1)/(x2 - x1) and c = (x1y2 - x2y1)/(x1 - x2).
| 2. How do you find the midpoint of the chord joining two points on a parabola? | |
Ans. To find the midpoint of the chord joining two points t1 and t2 on a parabola, use the formula (x1 + x2)/2, (y1 + y2)/2.
| 3. Can the chord joining two points on a parabola be parallel to the axis of the parabola? | |
Ans. No, the chord joining two points on a parabola cannot be parallel to the axis of the parabola as it will intersect the parabola at more than two points.
| 4. How can you determine if the chord joining two points on a parabola is a tangent to the parabola? | |
Ans. If the chord joining two points on a parabola is a tangent to the parabola, then the points t1 and t2 will be equidistant from the vertex of the parabola.
| 5. Is the equation of the chord joining two points on a parabola dependent on the orientation of the parabola? | |
Ans. No, the equation of the chord joining two points on a parabola does not depend on the orientation of the parabola.
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Dec 25, 2024 Last updated |
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