Question

If two curves
y = x2 – 1, y = ax2 - 4x + 1 at (1,0)
touch each other then a =
(a) 2
(b) 3
(c) 4
(d) -3​

Answer 1

Step-by-step explanation:

$when \: two \: curve \: touch \: each \: other \: then \: \: \: \\ x {}^{2} - 1 = ax {}^{2} - 4x + 1 \\ 1 - 1 = a - 4 + 1 \\ a = 3 \: ans.........(b)$