1

JEE Main 2020 (Online) 5th September Evening Slot

Numerical

+4

-0

Out of Syllabus

If the lines x + y = a and x – y = b touch the

curve y = x

curve y = x

^{2}– 3x + 2 at the points where the curve intersects the x-axis, then $${a \over b}$$ is equal to _______.Your input ____

2

JEE Main 2020 (Online) 8th January Evening Slot

Numerical

+4

-0

Let ƒ(x) be a polynomial of degree 3 such that
ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point
at x = –1 and ƒ'(x) has a critical point at x = 1.
Then ƒ(x) has a local minima at x = _______.

Your input ____

3

JEE Main 2020 (Online) 8th January Morning Slot

Numerical

+4

-0

Out of Syllabus

Let the normal at a point P on the curve

y

If m is the slope of the tangent at P to the curve, then |m| is equal to

y

^{2}– 3x^{2}+ y + 10 = 0 intersect the y-axis at $$\left( {0,{3 \over 2}} \right)$$ .If m is the slope of the tangent at P to the curve, then |m| is equal to

Your input ____

Questions Asked from Application of Derivatives (Numerical)

Number in Brackets after Paper Indicates No. of Questions

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