The length of the side of an equilateral triangle inscribed in the parabola, y2=4 x so that one of its angular point is at the vertex is :

Question

The length of the side of an equilateral triangle inscribed in the parabola, y2=4 x so that one of its angular point is at the vertex is : (A) 8 √3 (B) 6 √3 (C) 4 √3 (D) 2 √3

Tardigrade Admin · Accepted Answer

tan 30°=(1/√3)=(2/ t ) ⇒ t =2 √3. Hence operatornameside=4 at =8 √3 a

Q. The length of the side of an equilateral triangle inscribed in the parabola, $y^{2} = 4 x$ so that one of its angular point is at the vertex is :

$83$

$63$

$43$

$23$

$tan 3 0^{\circ} = \frac{1}{3} = \frac{2}{t} \Rightarrow t = 23$ . Hence $side = 4 a t = 83 a$

Q. The length of the side of an equilateral triangle inscribed in the parabola, y2=4x so that one of its angular point is at the vertex is :

83​

63​

43​

23​