Home
Class 12
MATHS
If ax + by + c = 0 is the polar of (1,1)...

If `ax + by + c = 0` is the polar of `(1,1)` with respect to the circle `x^(2) + y^(2) - 2x + 2y `
`+ 1 = 0` and H. C. F. of a, b, c is equal to
one then find `a^(2) + b^(2) + c^(2) .`

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.4 ( VERY SHORT ANSWER QUESTIONS)|2 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.4 ( SHORT ANSWER QUESTIONS)|5 Videos

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.3 (VERY SHORT ANSWER QUESTIONS)|7 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

Find the polar of (1,-2) with respect of x^(2) + y^(2) - 10 x - 10y + 25 = 0

Find the pole of ax + by + c = 0 with respect to the circle x^2 + y^2 = r^2 .

The polar of p with respect to a circle s=x^(2)+y^(2)+2gx+2fy+c=0 with centre C is

Find the pole of ax + by + c = 0 (cne 0) with respect to x^(2) + y^(2) = r^(2)

For the circle x^(2)+y^(2)-4x+2y+c=0 radius is 4 then c=

Show that the circles x^(2) +y^(2) + 2ax + c=0 and x ^(2) + y^(2) + 2by + c=0 to touch each other if (1)/(a^(2)) + (1)/( b^(2)) = (1)/( c )

If y+c=0 is a tangent to the circle x^(2)+y^(2)-6x-2y+1=0 at (a, 4), then