If two graphs y = px2 + q and y = 2x2 -1 inters...
If two graphs y = px2 + q and y = 2x2 -1 intersect at x = 2, find the value of p in terms q.
q−87
7−q4
8−q2
7+q8
Correct answer is B
y=px2+q...(i)
y=2x2−1...(ii)
At x = 2,
(i): y=p(22)+q=4p+q
(ii): y=2(22)−1=7
∴
(i): 7 = 4p + q \implies p = \frac{7 - q}{4}
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