There is a line and a parabola y2=4x on the xy plane. The line intersects the parabola at only 1 point. If one of the point lying on this line is (105,1) ,then which among the following points would also lie on the line.
There is a line and a parabola y2=4x on the xy plane. The line intersects the parabola at only 1 point. If one of the point lying on this line is (105,1) ,then which among the following points would also lie on the line.
The correct option is A (1, 1)
There's only one condition by which a line would intersect a parabola at only one point. Its that the line should be parallel to the axis of the parabola.
Given parabola is y2=4x whose axis is the x axis. So any line parallel to x axis would intersect the parabola at just one point.
In this case the line is hence a horizontal line, so all the points on the line will have the same y coordinate.
Since one of the point given on the line is (105,1) any other point of the form (x,1) will also lie on the line. Among the options only (1,1)
satisfies the condition. Hence the A is right answer
Hence the A is right answer
(1, 1)
There's only one condition by which a line would intersect a parabola at only one point. Its that the line should be parallel to the axis of the parabola.
Given parabola is y2=4x whose axis is the x axis. So any line parallel to x axis would intersect the parabola at just one point.
In this case the line is hence a horizontal line, so all the points on the line will have the same y coordinate.
Since one of the point given on the line is (105,1) any other point of the form (x,1) will also lie on the line. Among the options only (1,1)
satisfies the condition. Hence the A is right answer
Hence the A is right answer
