If P(-3, 2) is one end of the focal chord PQ of the parabola y +4x +4y

1.	If P(-3, 2) is one end of the focal chord PQ of the parabola y +4x +4y 0, then the slope of thenormal at Q is(B) 2(D) -2
Answer» The parabola is (y+2) ^2 = -4(x-1) A= The point P has t = -2 as (at^2,2at) gives (-4,4) and on shifting the origin (x-1) = -1 X= -3 And (y+2) = 4y = 2 As PQ is focal chord and t at Q would be +½ (t1,t2 = -1) Slope of thenormatis –t Therefore slope of normal at Q would be -½

If P(-3, 2) is one end of the focal chord PQ of the parabola y +4x +4y 0, then the slope of thenormal at Q is(B) 2(D) -2

Answer»

The parabola is (y+2) ^2 = -4(x-1)

The point P has t = -2 as (at^2,2at) gives (-4,4) and on shifting the origin (x-1) = -1

X= -3

And (y+2) = 4y = 2

As PQ is focal chord and t at Q would be +½ (t1,t2 = -1)

Slope of thenormatis –t

Therefore slope of normal at Q would be -½