MCQ
A straight line $(\sqrt 3 - 1)x = (\sqrt 3 + 1)y$ makes an angle ${75^o}$with another straight line which passes through origin. Then the equation of the line is
- ✓$x = 0$
- B$y = 0$
- C$x + y = 0$
- D$x - y = 0$
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$2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0$ are $(0,0),(5,0),(3,4)$ and $(0,5) .$ Let $Z =p x+q y,$ where $p, q\,>\,0 .$ Condition on $p$ and $q$ so that the maximum of $Z$ occurs at both $(3,4)$ and $(0,5)$ is $....$