No products in the cart.

A parabola with vertex at origin …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

A parabola with vertex at origin has its focus at the centre of x²+y²-10x+9=0. Find its directrix and latus rectum .
  • 1 answers

Aditya Vishwakarma 4 years, 3 months ago

Directrix : x + 5 = 0 Latus Rectum ; 20 Step-by-step explanation: Hi, Given equation of circle is x² + y² - 10x + 9 = 0 Center of circle = (-1/2*coefficient of x, -1/2*coefficient of y) Center of the above circle is ( 5, 0). For the given parabola, Vertex is at Origin O (0, 0) Focus is at the center of the circle , S ( 5, 0) Axis of the parabola is the line joining the vertex and focus of parabola, Since both the vertex and focus have their y-coordinate as 0 Equation of Axis is x-axis which is y = 0. Distance between the Vertex and Focus is 'a' which is 1/4 th of Latus Rectum ⇒1/4 * Latus Rectum = 5 ⇒ Latus Rectum = 20. Directrix is the line perpendicular to the axis and passing through the point Z on the axis such that midpoint of SZ is the vertex of the parabola. Hence , coordinates of Z will be ( -5, 0). Any equal perpendicular to x-axis will be of the form x = k , but this passes through Z( -5, 0),hence Equation of directrix is x = -5. Read more on Brainly.in - https://brainly.in/question/7512302#readmore
http://mycbseguide.com/examin8/

Related Questions

Derivative of cube root of tan x
  • 0 answers
Derivative of cube root of tanx
  • 0 answers
Case study based questions
  • 0 answers
Solve cos2x -5sinx -3=0
  • 0 answers
Derivative of cube root of tan x ...
  • 0 answers
What is sin60
  • 4 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App