Home
Class 12
MATHS
Find the length of intercept, the circle...

Find the length of intercept, the circle `x^2+y^2+10 x-6y+9=0` makes on the x-axis.

Text Solution

AI Generated Solution

To find the length of the intercept that the circle \(x^2 + y^2 + 10x - 6y + 9 = 0\) makes on the x-axis, we will follow these steps: ### Step 1: Rewrite the equation of the circle in standard form The given equation of the circle is: \[ x^2 + y^2 + 10x - 6y + 9 = 0 \] We can rearrange this equation to group the \(x\) and \(y\) terms: ...
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE ENGLISH|Exercise Examples|13 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 length of the chord intercepted by the circle x^(2)+y^(2)-8x-6y=0 on the line x-7y-8=0 .

Find the lengths of the intercepts of the circle 3x^(2) + 3y^(2) - 5x + 3y = 0 on the co-ordinate axes

Find the length of the chord intercepted by the circle x^(2) + y^(2) = 25 on the line 2x -y + 5= 0

Write the length of the intercept made by the circle x^2+y^2+2x-4y-5=0 on y-axis.

(i) Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-2y-8=0 on the line x+y+1=0 (ii) Find the length of the chord intercepted by the circle x^(2)+y^(2)+8x-4y-16=0 on the line 3x-y+4=0 (iii) Find the length of the chord formed by x^(2)+y^(2)=a^(2) on the line xcos alpha +y sin alpha=p

The x intercept of the circle x^(2)+y^(2)+8x-9=0 is

The length of the diameter of the circle x^2+y^2−4x−6y+4=0

Find the centre and radius of the circle x^2+y^2+10 x-12 y+9=0

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

Find the lengths of the intercepts of the circle x^(2) + y^(2) - 5x - 13y - 14 = 0 on the axes of co-ordinates