MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 12

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The slope of the tangent to the curve $x = t^{2} + 3 t - 8, y = 2 t^{2} - 2 t - 5$ at point $(2, - 1)$ is

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Important Questions on Tangents and Normals

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 13

At what points the slope of tangent to the curve

x^{2} + y^{2} - 2 x - 3 = 0

is zero

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12th CBSE

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MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 14

The angle of intersection of the curves

x y = a^{2}

and

x^{2} - y^{2} = 2 a^{2}

is

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MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 15

If the curve

a y + x^{2} = 7

and

x^{3} = y

cut orthogonally at

(1, 1)

then

a

is equal to

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MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 16

If the line

y = x

touches the curve

y = x^{2} + b x + c

at a point

(1, 1)

then

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12th CBSE

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MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 17

The slope of the tangent to the curve

x = 3 t^{2} + 1, y = t^{3} - 1

at

x = 1

is

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IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 18

The curves

y = a e^{x}

and

y = b e^{- x}

cut orthogonally if

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MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 19

The equation of the normal to the curve

x = a \cos^{3} θ, y = a \sin^{3} θ

at the point

θ = \frac{π}{4}

is

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 20

If the curves

y = 2 e^{x}

and

y = a e^{- x}

intersect orthogonally then

a =