MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>EXERCISE>Q 3

MEDIUM

12th CBSE

IMPORTANT

Earn 100

Show that the following curve intersect orthogonally at the indicated point $y^{2} = 8 x$ and $2 x^{2} + y^{2} = 10$ at $(1, 2 \sqrt{2})$ ?

Important Questions on Tangents and Normals

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>EXERCISE>Q 4

Show that the curves

4 x = y^{2}

and

4 xy = k

cut at right angles, if

k^{2} = 512

?

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>EXERCISE>Q 5

Show that the curves

2 x = y^{2}

and

2 xy = k

cut at right angles, if

k^{2} = 8

?

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 2

Find the slope of the tangent to the curve

x = t^{2} + 3 t - 8, y = 2 t^{2} - 2 t - 5

at

t = 2

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 3

If the tangent line at a point

(x, y)

on the curve

y = f (x)

is parallel to x-axis then write the value of

\frac{d y}{d x}

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 4

Write the value of

\frac{d y}{d x}

, if the normal to the curve

y = f (x)

at

(x, y)

is parallel to y-axis.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 5

If the tangent to a curve at a point

(x, y)

is equally inclined to the coordinate axes, then write the positive value of

\frac{d y}{d x}

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 6

If the tangent line at a point

(x, y)

on the curve

y = f (x)

is parallel to y-axis, find the value of

\frac{d x}{d y}

.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 16 - Tangents and Normals>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 7

Find the slope of the normal at the point

t

on the curve

x = \frac{1}{t}, y = t

.