Test: Conic Sections - 2 - Commerce MCQ

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

The axis of the parabola 9y²−16x−12y−57 = 0 is

A and B are two distinct points, Locus of a point P satisfying |PA| + |PB| = 2k, a constant is

The eccentricity of the hyperbola x²−y² = 9 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 y² = 4ax if

The equations x = at², y = 4at ; t ∈ R represent

 t ∈ R represents

The vertex of the parabola y² = 4a(x−a) is

The two parabolas x² = 4y and y² = 4x meet in two distinct points. One of these is the origin and the other is

The equation of the directrix of the parabola x² = −4ay is

The eccentricity ‘e’ of a parabola is

The ellipse 

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 line y = c touches the parabola y² = 4ax when

The parabolas x² = 4y and y² = 4x intersect

The lngth of the common chord of the parabolas y² = x and x² = y is

The number of points on X-axis which are at a distance c units (c < 3) from (2, 3) is

The eccentricity of the conic 9x² − 16y² = 144 is

The eccentricity of 3x²+4y² = 24 is

The angle between the tangents drawn from the origin to the circle = (x−7)²+(y+1)² = 25 is