Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Parabola/
Question 390012
JEE Mathematics · Hard

Parabola: Mixed MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
MixedHardQuestion 390012

Question

The length of the common chord of y² = 4x and x² = 4y is:
  1. A
    4√2
    Correct
  2. B
    8
  3. C
    4
  4. D
    2√5

Correct answer

4√2

Explanation

The two parabolas intersect at (0,0) and (4,4). Length of common chord = distance between intersection points = √((4−0)²+(4−0)²) = √32 = 4√2.

Review Parabola notesStart timed chapter practice