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Question: The latus rectum of a parabola whose directrix is x + y – 2 = 0 and focus is (3, –4) is...

The latus rectum of a parabola whose directrix is x + y – 2 = 0 and focus is (3, –4) is

A

−32- 3 \sqrt { 2 }

B

323 \sqrt { 2 }

C

−3/2- 3 / \sqrt { 2 }

D

3/23 / \sqrt { 2 }

Answer

323 \sqrt { 2 }

Explanation

Solution

Latus rectum = 2∣3−4−21+1∣2 \left| \frac { 3 - 4 - 2 } { \sqrt { 1 + 1 } } \right| = 323 \sqrt { 2 }