Home
Class 12
MATHS
If the equation 3x^(2) + ( 3-p) xy + qy...

If the equation ` 3x^(2) + ( 3-p) xy + qy^(2) -2px = 8pq` represents a circle, find p and q. Also determine the centre and radius of the centre.

Text Solution

Verified by Experts

The correct Answer is:
` sqrt(25) = 5 ` units.
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise Exercise 5.2|8 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise Exercise 5.3|1 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle, then find the values of pa n dqdot

Find the equation of the circle with centre (0,2) and radius 2

Let o lt p lt q and a ne 0 such that the equation px^(2) +4 lambda xy +qy^(2) +4a (x+y +1) = 0 represents a pair of straight lines, then a can lie in the interval

Find the equation of the circle with centre (-2,3) and radius 4

Show that |(z-2)/(z-3)|=2 represents a circle. Find its centre and radius.

Show that the equations represent a circle, and , find its centre and radius. | z - 2 - i|=3

Find the equation of circle with centre at (-3,2) and radius 4 units.

Show that the equations represent a circle, and , find its centre and radius. |2z + 2 - 4i| = 2