For what value of x, are the points (1, x), (2, 2x), (3, 3x) collinear ?

For what value of p the points (2,1) ,(p,-1)and (-1,3) are collinear.

For what value of x, the matrix [(x,3),(x,2)] is singular?

For what value of x, frac(2x)(3) = 18 ?

For what value of k, the function f given by f(x) = {(2x+1,x 2):} is continuous.

For what value of x, the matrix A is singular? : A=[(2,-3),(-1,x)]

Find a relation between x and y if the points (x,y),(1,2) and (7,0) are collinear.

Find the relation between x and y if the points A(2,1),B(x,y) and C(7,5) are collinear.

For what value of a, the equation 3x^2 + 2 (a^2 + 1) x + (a^2 - 3a + 2) = 0 possesses roots of opposite sign?

For what value of x, the matrix A is singular? : A=[(x,2,3),(0,2,3),(1,2,3)]

For what value of p,y = x + p touches the ellipse 2x ^2 + 3y ^2 = 1 ?