Math miscellaneousHard
Question
Let P be the point (1, 0) and Q a point on the locus y2 = 8x. The locus of mid point of PQ is
Options
A.y2 - 4x + 2 = 0
B.y2 + 4x + 2 = 0
C.y2 + 4y + 2 = 0
D.y2 - 4y + 2 = 0
Solution
P = (1, 0)
Q = (h, k) such that k2 = 8h
Let(α, β) be the midpoint of PQ
α =
, β = 
2α - 1 = h 2β = k.
(2β)2 = 8 (2α - 1) ⇒ β2 = 4α - 2
⇒ y2 - 4x + 2 = 0.
Q = (h, k) such that k2 = 8h
Let(α, β) be the midpoint of PQ
α =
, β = 2α - 1 = h 2β = k.
(2β)2 = 8 (2α - 1) ⇒ β2 = 4α - 2
⇒ y2 - 4x + 2 = 0.
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
If f (x) = xn, then the value of f(1) is...If an = having n radical signs then by methods of mathematical induciton which is true...If α + iβ = (√3 + i)3n1(1 - i)-2n2, then...If ω is imaginary cube root of unity and (a + bω + cω2)2015 = (a + bω2 + cω) where a,b,c are un...The value of [x]f′(x)dx, a > 1, where [x] denotes the greatest integer not exceeding x is...