Home
Class 12
MATHS
The equation x^(2) + y^(2) + 2gx + 2fy ...

The equation ` x^(2) + y^(2) + 2gx + 2fy + c=0 ` reprsents the circle if

A

it is a second degree equation in x and y

B

co- efficient of ` x^(2) ` = co- efficient of ` y^(2) ne 0`

C

co-efficient of x = 1

D

co - efficient of xy = 0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise (2 marks)|10 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ( 3 marks)|10 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the odd man out : )|5 Videos

  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 respresent the pair of parallel straight lines , then prove that h^(2)=abandabc+2fgh-af^(2)-bg^(2)-ch^(2)=0 .

If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then the condition for that circle to pass through three quadrants only but not passing through the origin is (a) f^2> c (b) g^2>2 (c) c >0 (d) h=0

If the equation a x^2-6x y+y^2 +2gx +2fy +c=0 represents a pair of lines whose slopes are m and m^2, then the value(s) of a is/are

9x^(2) +2hxy +4y^(2) +6x +2fy - 3 = 0 represents two parallel lines. Then

If the pair of lines ax^(2) + 2hxy + by^(2)+ 2gx + 2fy + c = 0 intersect on the y-axis then

The equation of the normal to the circle x^(2) + y^(2) -2x- 2y + 1=0 which is parallel to the lines 2x + 4y =3 is

If ax^(2) +2hxy + by^(2) + 2gx + 2fy + c = 0, find dy/dx.

Consider the circle x^2 + y^2 + 8x + 10y - 8 = 0 (i) Find its radius of the circle x^2 + y^2 + 8x + 10y - 8 = 0 (ii) Find the equation of the circle with centre at C and passing through (1,2).

If (m_r ,1//m_r),r=1,2,3,4, are four pairs of values of xa n dy that satisfy the equation x^2+y^2+2gx+2fy+c=0 , then the value of m_1. m_2.m_3. m_4 is a. 0 b. 1 c. -1 d. none of these