Advertisements
Advertisements
प्रश्न
Find the slope of a line passing through the following pair of point
(²m²,2am) and (p²m²,2pm)
उत्तर
A(x1,y1) = A(a2m2, 2am)
B(x2, y2) = B(p2m2, 2pm)
Slope of line AB = `("y"_2 - "y"_1)/("x"_2 - "x"_1)``
= `(2"pm" - 2"am")/("p"^2"m"^2 - "a"^2"m"^2)`
= `(2"m" ("p" - "a"))/("m"^2("p"^2 - "a"^2)`
= `2/"m" xx ("p" - "a")/(("p" + "a")("p" - "a"))`
= `2/("m" ("p" + "a")`
= `2/("pm" + "am")`
APPEARS IN
संबंधित प्रश्न
The side AB of an equilateral triangle ABC is parallel to the x-axis. Find the slopes of all its sides.
Determine whether the following point is collinear.
P(2, –5), Q(1, –3), R(–2, 3)
Find the slope of a line, correct of two decimals, whose inclination is 30°
Find the slope and the y-intercept of the following line x - 2 = `(5 - 3"y")/2`
Find the slope of the line passing through the points M(4,0) and N(-2,-3).
Find the slope of a line having inclination 60°.
Write the equation of a line passing through the point P (0,6) and having slope 6/7.
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.
The line through P (5, 3) intersects Y axis at Q.
(i) Write the slope of the line.
(ii) Write the equation of the line.
(iii) Find the coordinates of Q.
Four alternative answers for the following question are given. Choose the correct alternative and write its alphabet:
Slope of X-axis is ______.
