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  • The orthocentre of the triangle formed by the lines  <img alt="\mathrm{2x^{2}+3xy-2y^{2}-9x+7y-5=0,4x+5y-3=0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B2x%5E%7B2%7D&amp

The orthocentre of the triangle formed by the lines  \mathrm{2x^{2}+3xy-2y^{2}-9x+7y-5=0,4x+5y-3=0} lies at

Option: 1

\left(\frac{3}{5}, \frac{11}{5}\right)


Option: 2

\left(\frac{6}{5}, \frac{11}{5}\right)


Option: 3

\left(\frac{5}{6}, \frac{11}{5}\right)


Option: 4

none of these


Answers (1)

The pair of straight lines \mathrm{ 2x^{2}+ 3xy - 2y^{2} - 9x + 7y - 5 = 0} are perpendicular to each other so orthocentre is point of intersection of these lines. 

 

Posted by

Ramraj Saini

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