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  • Question 1
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    The parametric equation \(x=\frac{2 a\left(1-t^{2}\right)}{1+t^{2}}\) and \(y=\frac{4 a t}{1+t^{2}}\) represent a circle of radius

  • Question 2
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    The center of the circler2−4r(cosθ+sinθ)−4=0 in cartesian coordinates is :

  • Question 3
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    The variable line x/a+y/b=1 is such that a+b=10. The locus of the mid-point of the portion of the line intercepted between the axes is:

  • Question 4
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    A line is at a constant distance c from the origin and meets the co-ordinate axes in A and B. The locus of the center of the circle passing through O, A, B is

  • Question 5
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    The locus of the point represented by x=1+4cosθ,y=2+3sinθ is

  • Question 6
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    The equation of the circle touching both negative axes and having radius 3 is given by

  • Question 7
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    A circle C of radius 1 touches both the axes. Another circle of radius greater than C touches both the axes as well as the circle C. Then the radius of the other circle is

  • Question 8
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    A(2,3), B(−3,4) are two points. if a point P moves such that the area of Δ PAB is 8.5 sq.units then the locus of P is:

  • Question 9
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    The locus of a point which is collinear with the points (3,4) and (−4,3) is

  • Question 10
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    The locus of the point equidistant from the points (a+b,a−b) and (a−b,a+b) is

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