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...

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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... 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...
If three points `(x_1,y_1),(x_2, y_2),(x_3, y_3)` lie on the same line, prove that `(y_1-y_3)/(... If three points `(x_1,y_1),(x_2, y_2),(x_3, y_3)` lie on the same line, prove that `(y_1-y_3)/(...
If the points A(h,k),B(x1​ ,y1​ ) and C(x2​ ,y2​ ) lies on a line then show that (h−x 1​)... If the points A(h,k),B(x1​ ,y1​ ) and C(x2​ ,y2​ ) lies on a line then show that (h−x 1​)...
Find the slope of the lines: (a) Passing through the points `(3, 2)` and `( 1.4)` , (b) Passing ... Find the slope of the lines: (a) Passing through the points `(3, 2)` and `( 1.4)` , (b) Passing ...
A line passes through `(x_1,y_1)` and `(h , k)` . If slope of the line is m, show that `k-y_1=m(... A line passes through `(x_1,y_1)` and `(h , k)` . If slope of the line is m, show that `k-y_1=m(...
If three points (h, 0), (a, b) and (o, k) lie on a line, show that `a/h+b/k=1` .... If three points (h, 0), (a, b) and (o, k) lie on a line, show that `a/h+b/k=1` ....
Show that the path of a moving point such that its distances from two lines `3x 2y = 5` and `3x ... Show that the path of a moving point such that its distances from two lines `3x 2y = 5` and `3x ...
Find the equation of the line through `( 2, 3)` with slope ` 4` .... Find the equation of the line through `( 2, 3)` with slope ` 4` ....