48
If the vertices of a triangle have integral coordinates, then the triangle cannot be equilateral.
A
TRUE
B
FALSE
49
The points $A(-2,1), B(0,5)$ and $C(-1,2)$ are collinear.
A
TRUE
B
FALSE
50
Equation of the line passing through the point $\left(a \cos ^3 \theta, a \sin ^3 \theta\right)$ and perpendicular to the line $x \sec \theta+y \operatorname{cosec} \theta=a$ is $x \cos \theta-y \sin \theta=a \sin 2 \theta$.
A
TRUE
B
FALSE
51
The straight line $5 x+4 y=0$ passes through the point of intersection of the straight lines $x+2 y-10=0$ and $2 x+y+5=0$.
A
TRUE
B
FALSE
52
The vertex of an equilateral triangle is $(2,3)$ and the equation of the opposite side is $x+y=2$. Then, the other two sides are $y-3=(2 \pm \sqrt{3})(x-2)$.
A
TRUE
B
FALSE