WB JEE 2017 | Application of Derivatives Question 48 | Mathematics

WB JEE 2017

MCQ (Single Correct Answer)

-0.25

The chord of the curve $$y = {x^2} + 2ax + b$$, joining the points where x = $$\alpha$$ and x = $$\beta$$, is parallel to the tangent to the curve at abscissa x is equal to

$${{a + b} \over 2}$$

$${{2a + b} \over 3}$$

$${{2\alpha + \beta } \over 3}$$

$${{\alpha + \beta } \over 2}$$

WB JEE 2017

MCQ (Single Correct Answer)

-0.5

The value of K in order that f(x) = sin x $$-$$ cos x $$-$$ kx + 5 decreases for all positive real values of x is given by

K < 1

K $$ \ge $$ 1

K > $$\sqrt 2$$

K < $$\sqrt 2$$

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