If the equation of the normal to the curve y = (x - a)/((x + b)(x - 2)) at the point (1, - 3) is x - 4y = 13, then the value of a + b is equal to _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 29 Jan, Evening shift · Q30

JEE Main 202329 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If the equation of the normal to the curve

y = {{x - a} \over {(x + b)(x - 2)}}

at the point (1,

-

3) is

x - 4y = 13

, then the value of

a + b

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.