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(A) parallelogram, which is neither a rhombus nor a rectangle

(B) square

(C) rectangle, but not a square

(D) rhombus, but not a square

**[JEE 2010, 3]**

**Sol.**(A)

$\Rightarrow$ PQRS is a parallelogram but neither a rhombus nor a rectangle.

(A) $y+\sqrt{3} x+2-3 \sqrt{3}=0$

(B) $\mathrm{y}-\sqrt{3} \mathrm{x}+2+3 \sqrt{3}=0$

(C) $\sqrt{3} y-x+3+2 \sqrt{3}=0$

(D) $\sqrt{3} y+x-3+2 \sqrt{3}=0$

**[JEE 2011, 3 (–1)]**

**Sol.**(B)

(A) a + b – c > 0

(B) a – b + c < 0

(C) a – b + c > 0

(D) a + b – c < 0

**[JEE-Advanced 2013, 2]**

**Sol.**(A or C or A,C)

Point of intersection of both lines is $\left(-\frac{c}{(a+b)},-\frac{c}{(a+b)}\right)$

Distance between $\left(-\frac{c}{(a+b)},-\frac{c}{(a+b)}\right) \&(1,1)$ is

Distance $=\sqrt{\frac{(a+b+c)^{2}}{(a+b)^{2}} \times 2}<2 \sqrt{2}$

$a+b+c<2(a+b)$

$a+b-c>0$

According to given condition option (C) also correct.

**[JEE(Advanced)-2014, 3]**

**Sol.**6