Q25 of 292 Page 564

Find the point on the parabola , where the tangent is parallel to the chord joining the point (3, 0) and (4, 1).

If the tangent is parallel to chord joining the points (3, 0) and (4, 1) then slope of tangent is equal to slope of chord.



2(x – 3) = 1 ⇒ x = 7/2


At x = 7/2, y = 1/4


So, the required points are .


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