Advertisements
Advertisements
प्रश्न
The points (−3, 2), (2, −1) and (a, 4) are collinear. Find a.
उत्तर
Given, points A(−3, 2), B(2, −1) and C(a, 4) are collinear.
∴ Slope of AB = Slope of BC
`(-1 - 2)/(2 + 3) = (4 + 1)/(a - 2)`
`(-3)/5 = 5/(a - 2)`
–3a + 6 = 25
–3a = 25 – 6 = 19
`a = (-19)/3 = -6 1/3`
APPEARS IN
संबंधित प्रश्न
The line passing through (0, 2) and (−3, −1) is parallel to the line passing through (−1, 5) and (4, a). Find a.
The line passing through (−4, −2) and (2, −3) is perpendicular to the line passing through (a, 5) and (2, −1). Find a.
The side AB of an equilateral triangle ABC is parallel to the x-axis. Find the slopes of all its sides.
Find the slope of the lines passing through the given point.
T (0, –3) , S (0, 4)
Fill in the blank using correct alternative.
Out of the following, point ........ lies to the right of the origin on X– axis.
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 and the y-intercept of the following line 5x - 2y = 6
Find the image of a point (-1, 2) in the line joining (2, 1) and (- 3, 2).
