Sponsor Area
Conic Section
Consider a family of circles which are passing through the point (-1, 1) and are tangent to x-axis. If (h, K) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interva
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0 < k < 1/2
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k β₯ 1/2
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β 1/2 β€ k β€ 1/2
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k β€ Β½
B.
k β₯ 1/2
Equation of circle (x β h)2+ (y β k)2 = k2
It is passing through (β 1, 1) then
(β 1 β h)2+ (1 β k)2= k2
h2+ 2h β 2k + 2 = 0
D β₯ 0
2k β 1 β₯ 0 β k β₯ 1/2.
Some More Questions From Conic Section Chapter
The equation of a tangent to the parabola y2 = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is
In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is
If the lines 3x β 4y β 7 = 0 and 2x β 3y β 5 = 0 are two diameters of a circle of area 49Ο square units, the equation of the circle is
Sponsor Area
Mock Test Series
Mock Test Series