# Application of Derivatives Class 12 Maths Chapter 6 Exercise 6.3

## Topics/Questions discussed in this video:

In this lecture, I am discussing more questions based on tangents and normals from NCERT Exercise 6.3

Questions discussed in this lecture:

 NCERT EXERCISE 6.3 (Tangents and Normals)

Question 9. Find the point on the curve y = x^3 - 11x + 5 at which the tangent is y = x – 11.

Question 10. Find the equation of all lines having slope – 1 that are tangents to the curve y = \frac{1}{x - 1}, x \ne 1 .

Question 11. Find the equation of all lines having slope 2 that are tangents to the curve y = \frac{1}{x - 3}, x \ne 3 .

Question 12. Find the equation of all lines having slope 0 that are tangents to the curve y = \frac{1}{x^2 - 2x + 3} .

Question 13. Find points on the curve \frac{x^2}{9} + \frac{y^2}{16} = 1 at which the tangents are
(i) parallel to x-axis
(ii) parallel to y-axis

Question 14. Find the equations of the tangent and normal to the given curves at the indicated points:
(i) y = x^4 - 6x^3 + 13x^2 - 10x + 5  \text{ at }  (0, 5)
(ii) y = x^4 - 6x^3 + 13x^2 - 10x + 5 \text{ at }  (1, 3)
(iii) y = x^3 \text{ at }  (1, 1)
(iv) y = x^2 \text{ at }  (0, 0)
(v) x = \cos t, y = \sin t  \text{ at }  t = \frac{\pi}{4}

## Agam Sir

Teacher

Ashish Kumar a.k.a Agam Sir has vast experience of 12+ years of teaching Mathematics and Physics. He has skills (academic and vocational) that go with working alongside people, especially young people, their parent(s) and the institutes that works with him. He always seek to be an agent of positive change and progression, a mentor/ trainer/ educator for learners/students, seeing that their needs are ideally met.