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  • The number of common chords of the parabolas <img alt="\mathrm{x=y^2-6 y+11\: and \: y=x^2-6 x+11}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bx%3Dy%5E2-6%20y&plus;11%5C%3

The number of common chords of the parabolas \mathrm{x=y^2-6 y+11\: and \: y=x^2-6 x+11} is

Option: 1

6


Option: 2

8


Option: 3

3


Option: 4

5


Answers (1)

best_answer

The given parabola intersect to each other at 4 distinct points. Hence, the number of common cords

\mathrm{^{4}C_2=\frac{4\times}{2}=6}

Posted by

Ajit Kumar Dubey

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