Question

If the angle between the normal chord of the parabola which subtends a right angle at the vertex is theta then the maximum value of f[a]=sin(theta) cos a + tan(theta)*sin a is

Answer 1

Answer:

Correct option is

B

arctan

2

Led end points at chord is (at

1

2

,2at

1

) and (at

2

2

,2at

2

)

Since it is normal to parabola t

2

=−t

1

−

t

1

−2

equation of normal to parabola y=−tx+2at+at

3

Slope is −t

1

which is given acute so −t

1

>0 or t

1

<0

now chord makes right angle at origin so

{(2at

1

−0)∣(at

1

2

−0)}{(2at

1

−0)∣(at

1

2

−0)}=−1

t

1

t

2

=−4→t

1

(−t

1

−2∣t

1

)=−t

1

t

1

=−

2

angle θ=tan

−1

(

2

)

Answer 2

Step-by-step explanation:

here is your answer mate ok