Questions

The coordinates of the end point of the latus rectum
of the parabola $(y - 1)^{2} = 2 (x + 2)$ which does not
lie on the line $2 x + y + 3 = 0$ are

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(– 2, 1)

(– 3/2, 1)

(– 3/2, 2)

(– 3/2, 0)

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detailed solution

Correct option is C

Y2=4AX where Y=y−1,X=x+2,A=1/2. End of the L.R. is (X=A,Y=±2A)=(−3/2,2)or (– 3/2, 0) but (– 3/2, 0) lies on the line.

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The coordinates of the end point of the latus rectumof the parabola (y−1)2=2(x+2) which does notlie on the line 2x + y + 3 = 0 are

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The coordinates of the end point of the latus rectum
of the parabola $(y - 1)^{2} = 2 (x + 2)$ which does not
lie on the line $2 x + y + 3 = 0$ are