The radius of the circle passing through the foci of the ellipse and having its centre at (0, 3) is
The line y = c is a tangent to the parabola 7/2 if c is equal to
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The locus of a variable point whose distance from the point (2, 0) is 2/3 times its distance from the line x = 9/2 is
A and B are two distinct points, Locus of a point P satisfying PA + PB = 2k, a constant is
Locus of the point of intersection of the lines x = sec θ + tan θ and y = sec θ – tan θ is
The line y = m x + c, touches the parabola y^{2} = 4ax if
The two parabolas x^{2} = 4y and y^{2} = 4x meet in two distinct points. One of these is the origin and the other is
The equation of the directrix of the parabola x^{2} = −4ay is
The equations x = a cos θ , y = b sin θ, 0 ≤ θ < 2π , a ≠ b, represent
The graph of the function f(x) i/x i.e. the curve y = 1/x is
The lngth of the common chord of the parabolas y^{2} = x and x^{2} = y is
The number of points on Xaxis which are at a distance c units (c < 3) from (2, 3) is
The angle between the tangents drawn from the origin to the circle = (x−7)^{2}+(y+1)^{2} = 25 is
209 videos443 docs143 tests

209 videos443 docs143 tests
