Question

A line $L$ passing through the focus of the parabola $y^2=4(x-1)$, intersects the parabola in two distinct points. If ${}^{\prime }{m}^{\prime }$ be the slope of the line ${}^{\prime }{L}^{\prime }$ then

• A. $-1<m<1$
• B. $m<-1$ or $m>1$
• C. $m\in R$
• D. None of the above

Answer 1

The correct option is D None of the above

Let $F$ is the focus of parabola
There are infinite number of lines $L$ except $y=0$ will pass through the focus of parabola which intersect the parabola at two distinct point
Therefore $m\in R-\left\{0\right\}$