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प्रश्न
उत्तर
Slope of OM = `(7 - 5)/(1 -5) = 2/(-4) = (-1)/2`
Slope of PN = `(8 -4)/(4 -2) = 4/2` = 2
Slope of OM x Slope of PM = `1/2 xx 2 = -1`
`therefore` OM and PN bisect each other at 90°. Hence, MNOP is a square.
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संबंधित प्रश्न
The slope of a line joining P(6, k) and Q(1 – 3k, 3) is `1/2`. Find:
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- mid-point of PQ, using the value of ‘k’ found in (i).
A and B are two points on the x-axis and y-axis respectively. P (2, −3) is the midpoint of AB. Find the:
(1) coordinates of A and B
(2) slope of line AB.
(3) an equation of line AB.
The line passing through (−4, −2) and (2, −3) is perpendicular to the line passing through (a, 5) and (2, −1). Find a.
Show that the points P(a, b + c), Q(b, c + a) and R(c, a + b) are collinear.
Find x, if the slope of the line joining (x, 2) and (8, −11) is `−3/4`.
Find the slope and the y-intercept of the following line 4y = 5x - 8
Find the slope and the y-intercept of the following line x - 2 = `(5 - 3"y")/2`
Find the slope of a line passing through the point A (-2,1), B (0,3).
