Home | | Maths 12th Std | Exercise 5.4: Tangents and Normals to Conics

Problem Questions with Answer, Solution - Exercise 5.4: Tangents and Normals to Conics | 12th Mathematics : UNIT 5 : Two Dimensional Analytical Geometry II

Chapter: 12th Mathematics : UNIT 5 : Two Dimensional Analytical Geometry II

Exercise 5.4: Tangents and Normals to Conics

Maths Book back answers and solution for Exercise questions - Find the equations of Tangents and Normals to Conics

EXERCISE 5.4

1. Find  the  equations  of  the  two  tangents that can be drawn from (5, 2) to the ellipse 2x+ 7 y= 14 .




2. Find the equations of tangents to the hyperbola  which are parallel to 10 3+ 9 = 0.



3. Show that the line  + 4 = 0 is a tangent to the ellipse x+ 3y= 12 . Also find the coordinates of the point of contact.



4. Find the equation of the tangent to the parabola y= 16perpendicular to 2+ 2 + 3 = 0 .



5. Find the equation of the tangent at = 2 to the parabola y= 8. (Hint: use parametric form)



6. Find the equations of the tangent and normal to hyperbola 12x 9 y= 108 at θ = π/3. (Hint: use parametric form)



7. Prove that the point of intersection of the tangents at ‘ t’ and ‘ t’on the parabola y2 = 4ax is [at1t2 , a (t+ t2 )]. 



8. If the normal at the point ‘ ’ on the parabola y= 4ax meets the parabola again at the point  ‘ t ’, then prove that t2= - ( t + 2/t1).



Answers:

Tags : Problem Questions with Answer, Solution , 12th Mathematics : UNIT 5 : Two Dimensional Analytical Geometry II
Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
12th Mathematics : UNIT 5 : Two Dimensional Analytical Geometry II : Exercise 5.4: Tangents and Normals to Conics | Problem Questions with Answer, Solution

Related Topics

12th Mathematics : UNIT 5 : Two Dimensional Analytical Geometry II


Privacy Policy, Terms and Conditions, DMCA Policy and Compliant

Copyright © 2018-2024 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.