Question

if the points (a 0) (0 b) and (3 2) are collinear prove that 1/a+1/b=1

Answer 1

Step-by-step explanation:

We know that,

Three points are collinear

Then,

Area of triangle =0

1/2 [ X1(y2-y3) + X3(y3 - y1) + X3(X1 - X2)]

= [ a(b-2) + 0(0-2) + 3 (a-0)]

= ab - 2a +3a = 0

ab+ a= 0

a(b+1) = 0

a= 0 , b= -1

1/a + 1/b = 1 [ by substituting values of a and b ]

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