Question
Mathematics Question on Binomial theorem
The coordinates of a moving point p are (2t2 + 4, 4t + 6). Then its locus will be a
A
(A) circle
B
(B) straight line
C
(C) parabola
D
(D) ellipse
Answer
(C) parabola
Explanation
Solution
Explanation:
x=2t2+4,y=4t+6,y=4t+6→t=(y−64)x=2(y−64)2+4⇒(y−6)28=x−4(y−6)2=4(2)(x−4)