Home
Class 12
MATHS
Consider the following statement : I. ...

Consider the following statement :
I. `P(x_1, y_1)` and `Q (x_2, y_2)` are conjugate points with respect to the circle
` x^2 + y^2 + 2gx + 2fy + c= 0 ` then
`x_1 x_2 + y_1y_2 + g ( x_1 + x_2) + f ( y_1 + y_2) + c = 0`
II. The pole of the line x + y + 1 =0 with respect to the circle `x^2 + y^2 = 9` is (9.9).
Then, which one of the following is true?

A

Both I and II are true

B

Neither I nor II is true

C

I is false and II is true

D

I is true and II is false

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER

    SIA PUBLICATION|Exercise PHYSICS|26 Videos

  • QUESTION PAPER

    SIA PUBLICATION|Exercise CHEMISTRY|8 Videos

  • QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS

    SIA PUBLICATION|Exercise Problems|71 Videos

  • SAMPLE PAPER 2017

    SIA PUBLICATION|Exercise CHEMISTRY|3 Videos

Similar Questions

Explore conceptually related problems

If (1,1), (k,2) are conjugate points with respect to the circle x^(2)+y^(2)+8x+2y+3=0 , then k=

Show that the points (4,2) (3,-5) are conjugate points with respect to the circle x^(2) + y^(2) -3 x - 5y + 1 = 0

If 2kx + 3y - 1 = 0 , 2x + y + 5 = 0 are conjugate lines with respect to the circle x^(2) +y^(2) - 2x - 4y - 4 = 0 , t hen k =

If the lines kx + 2y -4 = 0 and 5x - 2y - 4 = 9 are conjugate with respect to the circle x^(2) + y^(2) - 2x - 2y + 1 = 0 , then k =

The inverse of the point (1, 2) with respect to the circle x^(2) + y^(2) - 4x - 6y + 9 = 0 is

If the lines kx+2y-4=0 and 5x-2y-4=0 are conjugate with respect to the circle x^2+y^2-2x-2y+1=0 , then k= .