The focal distance of a point P on the parabola y 2 = 12x if the ordinate of P is 6 , is

Question

The focal distance of a point P on the parabola y 2 = 12x if the ordinate of P is 6 , is (A)  12  (B)  6  (C)  3  (D)  9

Tardigrade Admin · Accepted Answer

Given parabola is y2=12 x ...(i) Here a=3 For point P(x, y), y=6 This point lie on the parabola ∴ (6)2=12 x ⇒ x=3 Now, focal distance of point P is x+a=6

Q. The focal distance of a point $P$ on the parabola $y^{2} = 12 x$ if the ordinate of $P$ is $6$ , is

$12$

$6$

$3$

$9$

Given parabola is $y^{2} = 12 x ... (i)$
Here $a = 3$
For point $P (x, y), y = 6$
This point lie on the parabola
$∴ (6)^{2} = 12 x \Rightarrow x = 3$
Now, focal distance of point $P$ is $x + a = 6$

Q. The focal distance of a point P on the parabola y2=12x if the ordinate of P is 6 , is

12

6

3

9

Given parabola is y2=12x...(i) Here a=3 For point P(x,y),y=6 This point lie on the parabola ∴(6)2=12x⇒x=3 Now, focal distance of point P is x+a=6

Q. The focal distance of a point $P$ on the parabola $y^{2} = 12 x$ if the ordinate of $P$ is $6$ , is

$12$

$6$

$3$

$9$

Given parabola is $y^{2} = 12 x ... (i)$
Here $a = 3$
For point $P (x, y), y = 6$
This point lie on the parabola
$∴ (6)^{2} = 12 x \Rightarrow x = 3$
Now, focal distance of point $P$ is $x + a = 6$