Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve RD Sharma Class 12 Chapter15 Tangents and Normals Exercise Fill in the blanks Question 16 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter15 Tangents and Normals Exercise Fill in the blanks Question 16 Maths Textbook Solution.

Answers (1)

Answer:

      Points are \left ( 0,0 \right )  and  \left ( 3,27 \right )

Hint:

If the slope of tangent is equal to ordinate of point that means  \frac{dy}{dx}=y

Given:

The slope of tangent to curve  y=x^{3}  at a point is equal to ordinate of point.

To find:

We have to find the point

Solution:

We have,

                y=x^{3}                                                                                                                                                … (i)

On differentiating with respect to x , we get

\frac{dy}{dx}=3x^{2}                                                                                                                  \left[\because \frac{d\left(x^{n}\right)}{d x}=n x^{n-1}\right]

Now, we know that the given slope of tangent to the given curve at a point is equal to ordinate of point

3x^{2}=y                                                                                                                                               … (ii)

Putting value of  y in equation (i), we get

\Rightarrow         3x^{2}=x^{3}

\Rightarrow     x=3,0  and  y= 0,27   [From equation (i)]

Thus the two points are  \left ( 0,0 \right ) and \left ( 3,27 \right )

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question