Question

Find the value of (×)÷​

Answer 1

Step-by-step explanation:

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Answer 2

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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−a 2 +a

⇒a 2 −3a−4=0

⇒a 2 −4a+a−4=0

⇒(a−4)(a+1)=0a=4,−1

For a=4 Slope of BC= 5−2a−1

= 34−1 = 33

=1Equation 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

=− 32Equation of BC:(y−1)=− 32 (x−2)

⇒3y−3=4−2x

⇒2x+3y=7