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Choose the correct alternative: If the normals of the parabola y2 = 4x drawn at the end points of its latus rectum are tangents to the circle (x – 3)2 + (y + 2)2 = r2, then the value of r2 is - Mathematics

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प्रश्न

Choose the correct alternative:

If the normals of the parabola y2 = 4x drawn at the end points of its latus rectum are tangents to the circle (x – 3)2 + (y + 2)2 = r2, then the value of r2 is

पर्याय

  • 2

  • 3

  • 1

  • 4

MCQ

उत्तर

2

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Two Dimensional Analytical Geometry-II - Exercise 5.6 [पृष्ठ २१६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 5 Two Dimensional Analytical Geometry-II
Exercise 5.6 | Q 11 | पृष्ठ २१६

संबंधित प्रश्‍न

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 equation of the tangent to the circle x2 + y2 – 4x + 4y – 8 = 0 at (-2, -2).


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.


Find the values of a and b if the equation (a - 1)x2 + by2 + (b - 8)xy + 4x + 4y - 1 = 0 represents a circle.


If the perimeter of the circle is 8π units and centre is (2, 2) then the equation of the circle is:


The equation of the circle with centre (3, -4) and touches the x-axis is:


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 tangent and normal to the circle x2 + y2 – 6x + 6y – 8 = 0 at (2, 2)


Find centre and radius of the following circles

x2 + y2 + 6x – 4y + 4 = 0


Find centre and radius of the following circles

2x2 + 2y2 – 6x + 4y + 2 = 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 circle x2 + y2 = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if


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


Choose the correct alternative:

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centered at (0, y) passing through the origin and touching the circle C externally, then the radius of T is equal to


Choose the correct alternative:

The circle passing through (1, – 2) and touching the axis of x at (3, 0) passing through the point


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