Question

If two curves y = x2 - 1, y = ax2 - 4x + 1 at
(1,0) touch each other then a =​

Answer 1

Given: Two curves y = x² - 1, y = ax² - 4x + 1

To find: The value of a = ?

Solution:

• As we have given in the question that the curves touches each other at the point (1,0), this means that the curves will be equal at the given point (1,0).

• So making them equal, we get:

                x² - 1 = ax² - 4x + 1

• Now putting the values of x and y as per the given point (1,0), we get:

                1² - 1 = a(1)² - 4(1) + 1

                0 = a - 4 + 1

                a = 4 -1

                a = 3

Answer:

              So the value of a is 3.