Question

A rectangle of area 70 units is completed with three conormal points with integer coordinates on the parabola y^2 = 4x as its vertices. If the fourth vertex is (a, b) find a,b.​

Answer 1

Answer:

Let P,Q,R are three coordinates on parabola y

2

=4ax

The correct statement is :

y=−xy+2at+at

3

is equation of normal of parabola y

2

=4ax

at

3

+(2a−x)t−y=0

t

1

+t

2

+t

3

=0

Algebraic sum of slope of normals at P,Q,R vanishes.

Step-by-step explanation:

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