The slopes of the tangents to the curve y = x + 1 x - 3 at the points where it cuts the x -axis, are m 1 and m 2 , then the value of m 1 + m 2 is equal to

Question

The slopes of the tangents to the curve y = x + 1 x - 3 at the points where it cuts the x -axis, are m 1 and m 2 , then the value of m 1 + m 2 is equal to, 8, - 2, 2, 0

MARKS App · Accepted Answer

The given curve is y = x 2 - 2 x - 3 , which cuts the x-axis at - 1,0 and 3,0 Now, d y d x = 2 x - 2 Thus, m 1 = 2 - 1 - 2 = - 4 & m 2 = 2 3 - 2 = 4 ∴ m 1 + m 2 = 0

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