Advertisements
Advertisements
प्रश्न
Find k, if PQ || RS and P(2, 4), Q (3, 6), R(3, 1), S(5, k).
उत्तर
Given P(2, 4), Q (3, 6), R(3, 1), S(5, k)
PQ || RS so, slope of PQ = slope of RS
\[\frac{6 - 4}{3 - 2} = \frac{k - 1}{5 - 3}\]
\[ \Rightarrow \frac{2}{1} = \frac{k - 1}{2}\]
\[ \Rightarrow k - 1 = 4\]
\[ \Rightarrow k = 5\]
APPEARS IN
संबंधित प्रश्न
Find the slope of the line perpendicular to AB if : A = (0, −5) and B = (−2, 4)
Without using the distance formula, show that the points A(4, 5), B(1, 2), C(4, 3) and D(7, 6) are the vertices of a parallelogram.
The points (K, 3), (2, −4) and (−K + 1, −2) are collinear. Find K.
Find the slope of the line which is parallel to `x/2 - y/3 -1 = 0 `
Find the slope of the lines passing through the given point.
A(2, 3), B(4, 7)
Determine whether the following point is collinear.
D(–2, –3), E(1, 0), F(2, 1)
Find k, if R(1, –1), S (–2, k) and slope of line RS is –2.
Fill in the blank using correct alternative.
Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co–ordinates of point B can be ........ .
Fill in the blank using correct alternative.
Out of the following, point ........ lies to the right of the origin on X– axis.
Show that points P(1, –2), Q(5, 2), R(3, –1), S(–1, –5) are the vertices of a parallelogram.
Find the slope of the diagonals of a quadrilateral with vertices A(1, 7), B(6, 3), C(0, –3) and D(–3, 3).
Find the slope of a line parallel to the given line 5x + 2y = 11
Find the slope of a line passing through the following pair of points
(5pq,p2q) and (5qr,qr2)
Find m if the slope of the line passing through the point (-7,5) and (2,m) is `1/3`
Find the slope and the y-intercept of the following line 5x - 2y = 6
Find the slope and the y-intercept of the following line 4y = 5x - 8
Find the value of x so that the line passing through (3, 4) and (x, 5) makes an angle 135° with positive direction of X-axis.
