बिंदु `P(x_(1), y_(1))` और `Q (x_(2),y_(2))` के बीच की दूरी ज्ञात करें।

Distance between P (x_(1), y_(1)) and Q (x_(2), y_(2)) when PQ is parallel to y - axis is

Let P(x_(1), y_(1)) and Q(x_(2), y_(2)), y_(1) lt 0, y_(2) lt 0 be the end points of latus rectum of the ellipse x^(2)+4 y^(2)=4 . The equations of parabolas with Iatus rectum P Q are

If X_(1) = (x_(1), y_(1)) and X_(2) = (x_(2),y_(2)) are two optimal solutions of a L.P.P., then

Three points P (h, k), Q(x_(1) , y_(1))" and " R (x_(2) , Y_(2)) lie on a line. Show that (h - x_(1)) (y_(2) - y_(1)) = (k - y_(1)) (x_(2) - x_(1)) .

Three points P (h, k), Q(x_(1) , y_(1))" and " R (x_(2) , Y_(2)) lie on a line. Show that (h - x_(1)) (y_(2) - y_(1)) = (k - y_(1)) (x_(2) - x_(1)) .

Three points P (h, k), Q(x_(1) , y_(1))" and " R (x_(2) , Y_(2)) lie on a line. Show that (h - x_(1)) (y_(2) - y_(1)) = (k - y_(1)) (x_(2) - x_(1)) .

Three points P (h, k), Q(x_(1) , y_(1))" and " R (x_(2) , Y_(2)) lie on a line. Show that (h - x_(1)) (y_(2) - y_(1)) = (k - y_(1)) (x_(2) - x_(1)) .