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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
विकल्प
2
3
1
4
उत्तर
2
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संबंधित प्रश्न
Find the centre and radius of the circle
x2 + y2 = 16
Find the equation of the circle whose centre is (2, 3) and which passes through (1, 4).
Find the equation of the circle having (4, 7) and (-2, 5) as the extremities of a diameter.
Find the Cartesian equation of the circle whose parametric equations are x = 3 cos θ, y = 3 sin θ, 0 ≤ θ ≤ 2π.
Find the equation of the tangent to the circle x2 + y2 – 4x + 4y – 8 = 0 at (-2, -2).
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 values of a and b if the equation (a - 1)x2 + by2 + (b - 8)xy + 4x + 4y - 1 = 0 represents a circle.
(1, -2) is the centre of the circle x2 + y2 + ax + by – 4 = 0, then its radius:
In the equation of the circle x2 + y2 = 16 then v intercept is (are):
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:
Obtain the equation of the circles with radius 5 cm and touching x-axis at the origin in general form
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)
Find centre and radius of the following circles
x2 + y2 – x + 2y – 3 = 0
Find centre and radius of the following circles
2x2 + 2y2 – 6x + 4y + 2 = 0
If the equation 3x2 + (3 – p)xy + qy2 – 2px = 8pq represents a circle, find p and q. Also determine the centre and radius of the circle
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 length of the diameter of the circle which touches the x -axis at the point (1, 0) and passes through the point (2, 3)
