The difference between abscissa and ordinate of two points in a plane are 2a and 2b respectively. Find the distance between these two points About the author Harper
Answer: x 2 +2ax−b 2 =0 Let roots be x 1 & x 2 x 1 +x 2 = a −b =−2a x 1 x 2 = a c =−b 2 x 2 +2px−q 2 =0 Let roots be y 1 & y 2 y 1 +y 2 =−2p y 1 y 2 =−q 2 Equation in diametric form is x 2 +y 2 −(x 1 +x 2 )x−(y 1 +y 2 )y+x 1 x 2 +y 1 y 2 =0 x 2 +y 2 +2ax+2py−b 2 −q 2 =0 Reply
Answer:
x
2
+2ax−b
2
=0
Let roots be x
1
& x
2
x
1
+x
2
=
a
−b
=−2a
x
1
x
2
=
a
c
=−b
2
x
2
+2px−q
2
=0
Let roots be y
1
& y
2
y
1
+y
2
=−2p
y
1
y
2
=−q
2
Equation in diametric form is
x
2
+y
2
−(x
1
+x
2
)x−(y
1
+y
2
)y+x
1
x
2
+y
1
y
2
=0
x
2
+y
2
+2ax+2py−b
2
−q
2
=0