The orthocentre of the triangle formed by the lines x + y = 1 and 2y² - xy - 6x² = 0

• $\left(\frac{4}{3}, \frac{4}{3}\right)$

• $\left(\frac{2}{3}, \frac{2}{3}\right)$

• $\left(\frac{2}{3}, \frac{- 2}{3}\right)$

• $\left(\frac{4}{3}, \frac{ - 4}{3}\right)$

222.

The incentre of the triangle formed by the straight lines $\mathrm{y} = \sqrt{3}\mathrm{x}, \mathrm{y} = - \sqrt{3}\mathrm{x} \mathrm{and} \mathrm{y} = 3 \mathrm{is}$  and y = 3 is

• (0, 2)

• (1, 2)

• (2, 0)

• (2, 1)

The points on the straight line 3x - 4y + 1 = 0 which are at a distance of 5 units from the point (3, 2) are

• $\left( - 2, - \frac{7}{4}\right)\left( - 3, \frac{ - 5}{2}\right)$

• $\left(4, \frac{11}{4}\right)\left( - 1, - 1\right)$

• $\left(1, \frac{1}{2}\right)\left(2, \frac{5}{4}\right)$

• $\left(7, 5\right),\left( - 1, - 1\right)$