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JEE 2020 Mathematics : Tangents & Normal Quiz

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Question 1

The tangent lines to the curve = 4ax at points where x = a are at_____ angle. The given parabola is not essentially a right handed parabola i.e. (aR)

Question 2

The tangent lines to the curve = 4ax at points where x = a are at_____ angle

Question 3

The slope of the normal to the curve given by x = a(Ɵ – sin Ɵ), y = a(1 – cos Ɵ) at Ɵ= π/2

Question 4

The line is a tangent to the curve at (a,b) then nϵ______

Question 5

If the curves 2x = and 2xy = k cut each other orthogonally then =

Question 6

The straight line touches the curve at the point (a,b) on it then at (1/a,1/b),

Question 7

The angle between the curves y = and y = at (1,1) is

Question 8

The normal to the curve at (1,1)

Question 9

The equation of the tangent to the curve , that is parallel to the x – axis is

Question 10

The normal to the curve x = a(cos A + Asin A), y = a(sinA – AcosA) at any point ‘A’ is such that
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Dec 3JEE & BITSAT