Question

. If the points P(a,-11), Q(5.b), R(2, 15) and S(1, 1) are the vertices of a
parallelogram PQRS, find the values of a and b.​

Answer 1

$\huge{\mid{\boxed{\sf{\color{purple}{AnS}{\color{pink}{WeR}}}}}\mid}$

Solution:-

Diagonals of a parallelogram bisect each other.

So the mid point of diagonal PR and mid point of diagonal QS coincide.

We have mid point formula,

p (x, y) =(x¹+x²/2 ,y¹+y²/2)

It implies that =a +2/2 =5 +1/2

or a+ 2 =6

or a =4

Similarly b +1/2 = -11 +15/2

or b +1 =4

or b =3

Required answer ,a =4 and b=3

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~Answer completed~⠀

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