![If p and q are the lengths of the perpendiculars from the origin on the lines, x cosecα−ysecα=kcot2α](https://www.gkseries.com/blog/wp-content/uploads/2024/03/If-p-and-q-are-the-lengths-of-the-perpendiculars-from-the-origin-on-the-lines-x-cosecα−ysecαkcot2α.jpg)
Q. If p and q are the lengths of the perpendiculars from the origin on the lines, x cosecα−ysecα=kcot2α and xsinα+ycosα=ksin2α respectively, then k2 is equal to :
Sol:
Given lines are
x cosecα−ysecα=kcot2α and xsinα+ycosα=ksin2α
Distance from origin are
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-162-621x1024.png)