Home
Class 12
MATHS
If the length tangent drawn from the ...

If the length tangent drawn from the point (5, 3) to the circle `x^2+y^2+2x+k y+17=0` is 7, then find the value of `kdot`

Text Solution

Verified by Experts

The correct Answer is:
`-4`
According to the question,
`sqrt((5)^(2)+(3)^(2)+2(5)+k(3)+17)=7`
or `61+3k=49` or `k= -4`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 4.9|5 Videos

  • CIRCLE

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 4.10|5 Videos

  • CIRCLE

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 4.7|5 Videos

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise Matrix|4 Videos

  • CIRCLES

    CENGAGE ENGLISH|Exercise Comprehension Type|8 Videos

Similar Questions

Explore conceptually related problems

If the length of tangent drawn from the point (5,3) to the circle x^2+y^2+2x+ky+17=0 is 7, then k= ?

Tangents drawn from the point (4, 3) to the circle x^(2)+y^(2)-2x-4y=0 are inclined at an angle

Find the length of the tangents drawn from the point (3,-4) to the circle 2x^(2)+2y^(2)-7x-9y-13=0 .

If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find the value of kdot

If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find the value of kdot

Find the equation of the two tangents from the point (0, 1 ) to the circle x^2 + y^2-2x + 4y = 0

If the length of the tangent from (2,5) to the circle x^(2) + y^(2) - 5x +4y + k = 0 is sqrt(37) then find k.

If the length of the tangent drawn from (f, g) to the circle x^2+y^2= 6 be twice the length of the tangent drawn from the same point to the circle x^2 + y^2 + 3 (x + y) = 0 then show that g^2 +f^2 + 4g + 4f+ 2 = 0 .

If the length of the tangent from (5,4) to the circle x^(2) + y^(2) + 2ky = 0 is 1 then find k.

If two perpendicular tangents can be drawn from the origin to the circle x^2-6x+y^2-2p y+17=0 , then the value of |p| is___