Q. 15

#Mark the correct alternative in each of the following

The point on the curve y2 = 4x which is nearest to the point (2, 1) is


B. (1, 2)

C. (1, –2)

D. (–2, 1)

Answer :

If we consider the above figure as for getting it,their will be many points on the curve.

If the normal to the point B passes through the point(2,1) then point B will be the point having nearest distance from point (2,1).

Let B(x,y)


slope at the point B is (2/y) and normal’s slope will be m=(–y/2) so by point slope formula.





from above to equations

y=2 and x=1

so the nearest point is (1,2).


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