Home
Class 12
MATHS
Find the radius of the circle (x-5)(x-1)...

Find the radius of the circle `(x-5)(x-1)+(y-7)(y-4)=0` .

Text Solution

Verified by Experts

The correct Answer is:
`5//2`

The extremities of diameter are (5,7) and (1,4). The radius is half of the distance between them, i.e.,
`(1)/(2) sqrt((5-1)^(2)+(7-4)^(2))=(5)/(2)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 4.3|3 Videos
  • CIRCLE

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 4.4|4 Videos
  • CIRCLE

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 4.1|1 Videos
  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise Matrix|4 Videos
  • CIRCLES

    CENGAGE ENGLISH|Exercise Comprehension Type|8 Videos

Similar Questions

Explore conceptually related problems

Find the centre and the radius of the circle x^2+y^2+8x+10 y-8=0 .

Find'the centre and radius of the circle (i) x^(2) +y^(2) + 4x - 1 = 0 (ii) 2 x^(2) + 2y^(2) = 3x - 5y + 7

Find the centre and radius of the circle 2x^(2)+2y^(2)=3x-5y+7

Find the centre and radius of the circle 3x^(2)+ 3y^(2) - 6x + 4y - 4 = 0

Find the centre and radius of the circle x^(2) + y^(2) - 6x + 4y - 12 =0 .

Find the centre and radius of the circles x^2+y^2-4x-8y-45=0

Find the centre and radius of the circle 4x^(2) + 4y^(2) + 16y -4x = 19.

Find the centre and radius of the circle x^(2) + y^(2) + 6x -10y -2 =0

Find the centre and radius of the circle 3x^(2) +3y^(2) - 6x +9y - 8 =0 .

Find the centre and radius of the circles x^2+y^2-8x+10 y-12=0