2001
Mathematics
JAMB
If two graphs y = px2+ q and y = 2x2 -1 intersect at x = 2, find the value of p in terms q.
A.
(q-8)/7
B.
(7-q)/4
C.
(8-q)/2
D.
(7-q)/8
Correct Answer: (7-q)/4
Explanation
Y = px 2 + q/5 = 2x2 - 1 Right arrow px2 + q = 2x2 - 1\px2 = 2x2 - 1 – q\p = (2x2 - q – 1) / x2 \ Atx = 2\p = [(2(22) – 1 – q)]/ 22 \ p = [(8 – 1- q)]/ 4 \ = ( 7 – q ) / 4
Y = px 2 + q/5 = 2x2 - 1 Right arrow px2 + q = 2x2 - 1\px2 = 2x2 - 1 – q\p = (2x2 - q – 1) / x2 \ Atx = 2\p = [(2(22) – 1 – q)]/ 22 \ p = [(8 – 1- q)]/ 4 \ = ( 7 – q ) / 4THIS WEEK's
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