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Choose the correct alternative: The centre of the circle inscribed in a square formed by the lines x2-8x-12 = 0 and y2-14y+45 = 0 is - Mathematics

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प्रश्न

Choose the correct alternative:

The centre of the circle inscribed in a square formed by the lines `x^2 - 8x - 12` = 0 and `y^2 - 14y + 45` = 0 is

विकल्प

  • (4, 7)

  • (7, 4)

  • (9, 4)

  • (4, 9)

MCQ

उत्तर

(4, 7)

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Circles
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [पृष्ठ २१५]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 5 Two Dimensional Analytical Geometry-II
Exercise 5.6 | Q 6 | पृष्ठ २१५

संबंधित प्रश्न

Find the equation of the following circles having the centre (3, 5) and radius 5 units.


Find the equation of the circle whose centre is (2, 3) and which passes through (1, 4).


Find the equation of the circle on the line joining the points (1, 0), (0, 1), and having its centre on the line x + y = 1.


Find the Cartesian equation of the circle whose parametric equations are x = 3 cos θ, y = 3 sin θ, 0 ≤ θ ≤ 2π.


Determine whether the points P(1, 0), Q(2, 1) and R(2, 3) lie outside the circle, on the circle or inside the circle x2 + y2 – 4x – 6y + 9 = 0.


Find the length of the tangent from (1, 2) to the circle x2 + y2 – 2x + 4y + 9 = 0.


Find the value of P if the line 3x + 4y – P = 0 is a tangent to the circle x2 + y2 = 16.


If the centre of the circle is (-a, -b) and radius is `sqrt("a"^2 - "b"^2)` then the equation of circle is:


In the equation of the circle x2 + y2 = 16 then v intercept is (are):


Find the equation of circles that touch both the axes and pass through (− 4, −2) in general form


Find the equation of the circles with centre (2, 3) and passing through the intersection of the lines 3x – 2y – 1 = 0 and 4x + y – 27 = 0


Obtain the equation of the circle for which (3, 4) and (2, -7) are the ends of a diameter.


Find the equation of the circle through the points (1, 0), (– 1, 0) and (0, 1)


If y = `2sqrt(2)x + "c"` is a tangent to the circle x2 + y2 = 16, find the value of c


Determine whether the points (– 2, 1), (0, 0) and (– 4, – 3) lie outside, on or inside the circle x2 + y2 – 5x + 2y – 5 = 0


Find centre and radius of the following circles

x2 + y2 + 6x – 4y + 4 = 0


Choose the correct alternative:

The equation of the circle passing through (1, 5) and (4, 1) and touching y-axis `x^2 + y^2 - 5x - 6y + 9 + lambda(4x + 3y - 19)` = where `lambda` is equal to


Choose the correct alternative:

The radius of the circle passing through the points (6, 2) two of whose diameter are x + y = 6 and x + 2y = 4 is


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