Geometry

Equation of a Line

Collinearity

         

If three points A=(k,k+2),A=(k,k+2), B=(0,k6)B=(0,k-6) and C=(k4,k)C=(k-4,k) all lie on the same line, what is the value of k?k?

The x x - and y y -intercepts of a line have the same value. If the line passes through P=(7,6)P=(7,-6) and Q=(6,k),Q=(-6,k), what is the value of k?k?

Consider the two points (1,1)(-1, -1) and (3,7).(3, 7). If a circle passes through these two points, then which of the following cannot also be a point on the circle?

What is the sum of all the values of kk that make three points A=(1,k),A=(1,k), B=(k,1)B=(k,1) and C=(10,10)C=(10,10) lie on the same line?

Consider the line passing through two points P=(1,10)P=(1, 10) and Q=(1,3)Q=(-1, 3) . If the line also passes through point R=(17,a)R=(17, a), what is the value of aa?

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