Question

$\huge\bold\color{navy}{Question:-}$

If A(a - 2 , -1), B(2a, 0), C(4,b) and D(1, 2) are the vertices of a parallelogram, then the values of a and b.

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Answer 1

putting the value of x and y.

⟹ k(−1) + 2(2) = 6

⟹ −k + 4 = 6

⟹ −k = 6 − 4

⟹ −k = 2

⟹ k = −2

Answer 2

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putting the value of x and y.

⟹ k(−1) + 2(2) = 6

⟹ −k + 4 = 6

⟹ −k = 6 − 4

⟹ −k = 2

⟹ k = −2