find the value of A in following:1 A×A=A 9
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Given: A(a,3),B(2,1) and C(5,a) are collinear.
∴ Slope of AB= Slope of BC
⇒2−a1−3=5−2a−1
⇒2−a−2=3a−1
⇒−6=(2−a)(a−1)
⇒−6=2a−2−a2+a
⇒a2−3a−4=0
⇒a2−4a+a−4=0
⇒(a−4)(a+1)=0
a=4,−1
For a=4
Slope of BC=5−2a−1=34−1=33=1
Equation of BC;(y−1)=1(x−2)
⇒y−1=x−2
⇒x−y=1
For a=−1
Slope of BC=5−2a−1=3−1−1=−32
Equation of BC:(y−1)=−32(x−2)⇒3y−3=4−2x
⇒2x+3y=7
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