4. If P (2,-1), Q (3,4), R (-2,3) and s(-3,-2) be four points in the plane, show that PQRS is rhombus but not square. Also find the area of Rhombus.
5. If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b, a+b), Prove that bo ay.
6. Find the coordinates of the circumcentre of the triangle whose vertices are (8,6) (8,-2) and (2,-2).
anyone please answer my both the question it is very urgent.
please help me guys.
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Verified answer
Answer:
The given points are P(2,-1), Q(3,4), R(-2,3) and S(-3,-2).We have
PQ=(3−2)2+(4+1)2=12+52=26units
QR=(−2−3)2+(3−4)2=25+1=26units
RS=(−3+2)2+(−2−3)2=1+25=26units
SP=(−3−2)2+(−2−3)2=26units
PR=(−2−2)2+(3+1)2=16+16=4
Step-by-step explanation: