Home
Class 11
MATHS
The circle x^2+y^2-6x-10 y+k=0 does not ...

The circle `x^2+y^2-6x-10 y+k=0` does not touch or intersect the coordinate axes, and the point (1, 4) is inside the circle. Find the range of value of `kdot`

Text Solution

Verified by Experts

The correct Answer is:
`25 lt p lt 29`
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 20

    ICSE|Exercise SECTION - B |10 Videos

  • MODEL TEST PAPER - 20

    ICSE|Exercise SECTION - C|10 Videos

  • MODEL TEST PAPER - 17

    ICSE|Exercise SECTION -C|10 Videos

  • MODEL TEST PAPER - 9

    ICSE|Exercise SECTION - C |9 Videos

Similar Questions

Explore conceptually related problems

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

If the lines 2x+3y+1=0, 6x+4y+1=0 intersect the co-ordinate axes in 4 points, then the circle passing through the points is

A circle touches both the coordinate axes and the line x-y=sqrt(2)a, a gt 0 , the coordinates of the centre of the circle cannot be

Show that the circle x^(2)+ y^(2) - 4x + 4y + 4 = 0 touches the co-ordinate axes. If the points of contact are A and B, find the equation of the circle which passes through A, B and the origin,

Find the equation of the circle which touches the coordinate axes and whose centre lies on the line x-2y=3.

Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it at the point A in the first quadrant. Find the coordinates of another point B on the circle such that A B=4 .

The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two of its sides along the coordinate axes. The locus of the circumcenter of the triangle is x+y-x y+k(x^2+y^2)^(1/2)=0 . Find kdot

Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 touch each other. Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.

Find the equation of the circle which touches the coordinate axes and whose centre lies on the line x-2y = 3 .